Moved files to 'reactics-smt'

This commit is contained in:
Artur Meski
2019-03-03 22:26:00 +00:00
parent c3a19d81dc
commit 5eb8e3b63d
33 changed files with 0 additions and 0 deletions

8
reactics-smt/Makefile Normal file
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# Makefile
clean:
rm -rf rs/__pycache__ smt/rs/__pycache__ logics/__pycache__ __pycache__
find . -name '*.pyc' -exec rm -f {} \;
cleanall: clean
rm -rf *.log

33
reactics-smt/colour.py Normal file
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C_HEADER = '\033[95m'
C_BLUE = '\033[94m'
C_GREEN = '\033[92m'
C_SOMEOTHER = '\033[93m'
C_RED = '\033[91m'
C_ENDC = '\033[0m'
C_BOLD = '\033[1m'
C_UNDERLINE = '\033[4m'
C_MARK_INFO = C_BOLD + "[" + C_GREEN + "*" + C_ENDC + C_BOLD + "]" + C_ENDC
C_MARK_ERROR = C_BOLD + "[" + C_RED + "!" + C_ENDC + C_BOLD + "]" + C_ENDC
def colour_str(col, s):
return col + s + C_ENDC
def green_str(s):
return C_GREEN + s + C_ENDC
def print_error(s):
print(C_MARK_ERROR + " " + C_RED + s + C_ENDC)
def print_info(s):
print("[" + colour_str(C_BOLD, "i") + "] {:s}".format(s))
def print_positive(s):
print("[" + colour_str(C_BOLD, "+") + "] {:s}".format(s))
# EOF

44
reactics-smt/doc/overview.py Executable file
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#!/usr/bin/env python
from rs import *
from smt import *
from logics import *
from rsltl_shortcuts import *
def ex():
prs = ReactionSystemWithConcentrationsParam()
ent_with_conc = [("a", 3), ("b",2), ("c",1), ("h",1)]
for ec in ent_with_conc:
prs.add_bg_set_entity(ec)
lda = prs.get_param("lda")
prs.add_reaction([("a",1)],[("h",1)],[("b", 2)])
prs.add_reaction(lda,[("h",1)],[("c",1)])
##
ca = ContextAutomatonWithConcentrations(prs)
ca.add_init_state("0")
ca.add_state("1")
ca.add_transition("0", [("a", 3)], "1")
ca.add_transition("1", [], "1")
ca.add_transition("1", [("h", 1)], "1")
crprs = ReactionSystemWithAutomaton(prs, ca)
crprs.show()
pc = param_entity(lda, "a") == 0
f = ltl_F(bag_entity("h") == 0, "c")
checker = SmtCheckerRSCParam(crprs, optimise=True)
checker.check_rsltl(formulae_list=[f], param_constr=pc)
if __name__ == "__main__":
ex()
# EOF

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from logics.rsltl import Formula_rsLTL
from logics.bags import BagDescription
from logics.param_constr import ParamConstraint
from logics.rsltl_encoder import rsLTL_Encoder
from logics.param_constr_encoder import ParamConstr_Encoder

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from enum import Enum
BagDesc_oper = Enum(
'BagDesc_oper', 'entity true l_and l_or l_not lt le eq ge gt')
class BagDescription(object):
def __init__(self, f_type, L_oper=None, R_oper=None, entity=""):
self.f_type = f_type
self.left_operand = L_oper
self.right_operand = R_oper
self.entity = entity
self.sanity_check()
def __repr__(self):
if self.f_type == BagDesc_oper.entity:
return self.entity
if self.f_type == BagDesc_oper.true:
return "TRUE"
if self.f_type == BagDesc_oper.l_and:
return "(" + repr(self.left_operand) + " & " + repr(self.right_operand) + ")"
if self.f_type == BagDesc_oper.l_or:
return "(" + repr(self.left_operand) + " | " + repr(self.right_operand) + ")"
if self.f_type == BagDesc_oper.l_not:
return "~(" + repr(self.left_operand) + ")"
if self.f_type == BagDesc_oper.lt:
return repr(self.left_operand) + " < " + repr(self.right_operand)
if self.f_type == BagDesc_oper.le:
return repr(self.left_operand) + " <= " + repr(self.right_operand)
if self.f_type == BagDesc_oper.eq:
return repr(self.left_operand) + " == " + repr(self.right_operand)
if self.f_type == BagDesc_oper.ge:
return repr(self.left_operand) + " >= " + repr(self.right_operand)
if self.f_type == BagDesc_oper.gt:
return repr(self.left_operand) + " > " + repr(self.right_operand)
def sanity_check(self):
"""Sanity checks"""
for operand in (self.left_operand, self.right_operand):
if operand:
if not(
isinstance(operand, BagDescription)
or isinstance(operand, int)):
raise RuntimeError(
"Unexpected operand type for a bag: {:s} (type: {:s})".format(
str(operand), str(type(operand))))
@classmethod
def f_entity(cls, entity_name):
return cls(BagDesc_oper.entity, entity=entity_name)
@classmethod
def f_TRUE(cls):
return cls(BagDesc_oper.true)
@classmethod
def f_And(cls, arg_L, arg_R):
return cls(BagDesc_oper.l_and, L_oper=arg_L, R_oper=arg_R)
@classmethod
def f_Not(cls, arg):
return cls(BagDesc_oper.l_not, L_oper=arg)
def __lt__(self, other):
return BagDescription(BagDesc_oper.lt, L_oper=self, R_oper=other)
def __le__(self, other):
return BagDescription(BagDesc_oper.le, L_oper=self, R_oper=other)
def __eq__(self, other):
return BagDescription(BagDesc_oper.eq, L_oper=self, R_oper=other)
def __ge__(self, other):
return BagDescription(BagDesc_oper.ge, L_oper=self, R_oper=other)
def __gt__(self, other):
return BagDescription(BagDesc_oper.gt, L_oper=self, R_oper=other)
def __and__(self, other):
return BagDescription(BagDesc_oper.l_and, L_oper=self, R_oper=other)
def __or__(self, other):
return BagDescription(BagDesc_oper.l_or, L_oper=self, R_oper=other)
def __invert__(self):
return BagDescription(BagDesc_oper.l_not, L_oper=self)
# EOF

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from enum import Enum
ParamConstraint_oper = Enum(
'ParamConstraint_oper',
'param_entity true l_and l_or l_not lt le eq ge gt')
class ParamConstraint(object):
def __init__(self, f_type, L_oper=None, R_oper=None, param=None, entity=""):
self.f_type = f_type
self.left_operand = L_oper
self.right_operand = R_oper
self.param = param
self.entity = entity
self.sanity_check()
def __repr__(self):
if self.f_type == ParamConstraint_oper.param_entity:
return "{:s}[{:s}]".format(self.param.name, self.entity)
if self.f_type == ParamConstraint_oper.true:
return "TRUE"
if self.f_type == ParamConstraint_oper.l_and:
return "(" + repr(self.left_operand) + " & " + repr(self.right_operand) + ")"
if self.f_type == ParamConstraint_oper.l_or:
return "(" + repr(self.left_operand) + " | " + repr(self.right_operand) + ")"
if self.f_type == ParamConstraint_oper.l_not:
return "~(" + repr(self.left_operand) + ")"
if self.f_type == ParamConstraint_oper.lt:
return repr(self.left_operand) + " < " + repr(self.right_operand)
if self.f_type == ParamConstraint_oper.le:
return repr(self.left_operand) + " <= " + repr(self.right_operand)
if self.f_type == ParamConstraint_oper.eq:
return repr(self.left_operand) + " == " + repr(self.right_operand)
if self.f_type == ParamConstraint_oper.ge:
return repr(self.left_operand) + " >= " + repr(self.right_operand)
if self.f_type == ParamConstraint_oper.gt:
return repr(self.left_operand) + " > " + repr(self.right_operand)
def sanity_check(self):
"""Sanity checks"""
for operand in (self.left_operand, self.right_operand):
if operand:
if not(
isinstance(operand, ParamConstraint)
or isinstance(operand, int)):
raise RuntimeError(
"Unexpected operand type for a bag: {:s} (type: {:s})".format(
str(operand), str(type(operand))))
@classmethod
def f_param_ent(cls, param, entity_name):
return cls(ParamConstraint_oper.param_entity, param=param,
entity=entity_name)
@classmethod
def f_TRUE(cls):
return cls(ParamConstraint_oper.true)
@classmethod
def f_And(cls, arg_L, arg_R):
return cls(ParamConstraint_oper.l_and, L_oper=arg_L, R_oper=arg_R)
@classmethod
def f_Not(cls, arg):
return cls(ParamConstraint_oper.l_not, L_oper=arg)
def __lt__(self, other):
return ParamConstraint(
ParamConstraint_oper.lt, L_oper=self, R_oper=other)
def __le__(self, other):
return ParamConstraint(
ParamConstraint_oper.le, L_oper=self, R_oper=other)
def __eq__(self, other):
return ParamConstraint(
ParamConstraint_oper.eq, L_oper=self, R_oper=other)
def __ge__(self, other):
return ParamConstraint(
ParamConstraint_oper.ge, L_oper=self, R_oper=other)
def __gt__(self, other):
return ParamConstraint(
ParamConstraint_oper.gt, L_oper=self, R_oper=other)
def __and__(self, other):
return ParamConstraint(
ParamConstraint_oper.l_and, L_oper=self, R_oper=other)
def __or__(self, other):
return ParamConstraint(
ParamConstraint_oper.l_or, L_oper=self, R_oper=other)
def __invert__(self):
return ParamConstraint(ParamConstraint_oper.l_not, L_oper=self)
# EOF

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from logics.param_constr import *
from z3 import And, Not, Or
class ParamConstr_Encoder(object):
"""Class for encoding parameter constraints"""
def __init__(self, smt_checker):
self.smt_checker = smt_checker
self.rs = smt_checker.rs
# self.v = None
# self.v_ctx = None
# self.loop_position = None
def load_variables(self, var_rs, var_ctx, var_loop_pos):
self.v = var_rs
self.v_ctx = var_ctx
self.loop_position = var_loop_pos
def encode(self, param_constr):
if not param_constr:
raise RuntimeError("param_constr is None")
if param_constr.f_type == ParamConstraint_oper.param_entity:
return self.smt_checker.get_enc_param(
param_constr.param.name, param_constr.entity)
if param_constr.f_type == ParamConstraint_oper.true:
return True
if param_constr.f_type == ParamConstraint_oper.l_and:
return And(self.encode(param_constr.left_operand),
self.encode(param_constr.right_operand))
if param_constr.f_type == ParamConstraint_oper.l_or:
return Or(self.encode(param_constr.left_operand),
self.encode(param_constr.right_operand))
if param_constr.f_type == ParamConstraint_oper.l_not:
return Not(self.encode(param_constr.left_operand))
if param_constr.f_type == ParamConstraint_oper.lt:
return self.encode(
param_constr.left_operand) < int(
param_constr.right_operand)
if param_constr.f_type == ParamConstraint_oper.le:
return self.encode(
param_constr.left_operand) <= int(
param_constr.right_operand)
if param_constr.f_type == ParamConstraint_oper.eq:
return self.encode(
param_constr.left_operand) == int(
param_constr.right_operand)
if param_constr.f_type == ParamConstraint_oper.ge:
return self.encode(
param_constr.left_operand) >= int(
param_constr.right_operand)
if param_constr.f_type == ParamConstraint_oper.gt:
return self.encode(
param_constr.left_operand) > int(
param_constr.right_operand)
assert False, "Unsupported case {:s}".format(param_constr.f_type)

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from z3 import *
from enum import Enum
from logics.bags import *
rsLTL_form_type = Enum(
'rsLTL_form_type',
'bag l_and l_or l_not l_implies t_globally t_finally t_next t_until t_release')
class Formula_rsLTL(object):
def __init__(
self, f_type, L_oper=None, R_oper=None, sub_oper=None, bag=None):
self.f_type = f_type
self.left_operand = L_oper
self.right_operand = R_oper
self.sub_operand = sub_oper
self.bag_descr = bag
# it's silly, but it's a frequent mistake
if callable(sub_oper):
raise RuntimeError(
"sub_oper should not be a function. Missing () for {0}?".format(sub_oper))
if isinstance(self.left_operand, BagDescription):
self.left_operand = Formula_rsLTL.f_bag(self.left_operand)
if isinstance(self.right_operand, BagDescription):
self.right_operand = Formula_rsLTL.f_bag(self.right_operand)
if self.sub_operand is True:
self.sub_operand = BagDescription.f_TRUE()
def __repr__(self):
if self.f_type == rsLTL_form_type.bag:
return repr(self.bag_descr)
if self.f_type == rsLTL_form_type.l_not:
return "~(" + repr(self.left_operand) + ")"
if self.f_type == rsLTL_form_type.t_globally:
return "G[" + repr(self.sub_operand) + "](" + repr(self.left_operand) + ")"
if self.f_type == rsLTL_form_type.t_finally:
return "F[" + repr(self.sub_operand) + "](" + repr(self.left_operand) + ")"
if self.f_type == rsLTL_form_type.t_next:
return "X[" + repr(self.sub_operand) + "](" + repr(self.left_operand) + ")"
if self.f_type == rsLTL_form_type.l_and:
return "(" + repr(self.left_operand) + " & " + repr(self.right_operand) + ")"
if self.f_type == rsLTL_form_type.l_or:
return "(" + repr(self.left_operand) + " | " + repr(self.right_operand) + ")"
if self.f_type == rsLTL_form_type.l_implies:
return "(" + repr(self.left_operand) + " => " + repr(self.right_operand) + ")"
if self.f_type == rsLTL_form_type.t_until:
return "(" + repr(
self.left_operand) + " U[" + repr(
self.sub_operand) + "] " + repr(
self.right_operand) + ")"
if self.f_type == rsLTL_form_type.t_release:
return "(" + repr(
self.left_operand) + " R[" + repr(
self.sub_operand) + "] " + repr(
self.right_operand) + ")"
@property
def is_bag(self):
return self.f_type == rsLTL_form_type.bag
@classmethod
def f_bag(cls, bag_descr):
return cls(rsLTL_form_type.bag, bag=bag_descr)
@classmethod
def f_Not(cls, arg):
return cls(rsLTL_form_type.l_not, L_oper=arg)
@classmethod
def f_And(cls, arg_L, arg_R):
return cls(rsLTL_form_type.l_and, L_oper=arg_L, R_oper=arg_R)
@classmethod
def f_Or(cls, arg_L, arg_R):
return cls(rsLTL_form_type.l_or, L_oper=arg_L, R_oper=arg_R)
@classmethod
def f_Implies(cls, arg_L, arg_R):
return cls(rsLTL_form_type.l_implies, L_oper=arg_L, R_oper=arg_R)
@classmethod
def f_X(cls, sub, arg):
return cls(rsLTL_form_type.t_next, L_oper=arg, sub_oper=sub)
@classmethod
def f_G(cls, sub, arg):
return cls(rsLTL_form_type.t_globally, L_oper=arg, sub_oper=sub)
@classmethod
def f_U(cls, sub, arg_L, arg_R):
return cls(
rsLTL_form_type.t_until, L_oper=arg_L, R_oper=arg_R, sub_oper=sub)
@classmethod
def f_F(cls, sub, arg_L):
return cls(rsLTL_form_type.t_finally, L_oper=arg_L, sub_oper=sub)
@classmethod
def f_R(cls, sub, arg_L, arg_R):
return cls(
rsLTL_form_type.t_release, L_oper=arg_L, R_oper=arg_R,
sub_oper=sub)
def __and__(self, other):
return Formula_rsLTL(rsLTL_form_type.l_and, L_oper=self, R_oper=other)
def __or__(self, other):
return Formula_rsLTL(rsLTL_form_type.l_or, L_oper=self, R_oper=other)
def __invert__(self):
return Formula_rsLTL(rsLTL_form_type.l_not, L_oper=self)
# EOF

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from logics.rsltl import *
def simplify(x):
return x
class rsLTL_Encoder(object):
"""Class for encoding rsLTL formulae for a given smt_checker instance"""
def __init__(self, smt_checker):
self.smt_checker = smt_checker
self.rs = smt_checker.rs
self.v = None
self.v_ctx = None
self.loop_position = None
# self.load_variables(
# var_rs=smt_checker.v,
# var_ctx=smt_checker.v_ctx,
# var_loop_pos=smt_checker.loop_position)
self.init_ncalls()
def load_variables(self, var_rs, var_ctx, var_loop_pos):
self.v = var_rs
self.v_ctx = var_ctx
self.loop_position = var_loop_pos
def get_encoding(self, formula, bound):
assert self.v is not None
assert self.v_ctx is not None
assert self.loop_position is not None
self.cache_init(bound)
self.init_ncalls()
return self.encode(formula, 0, bound)
def init_ncalls(self):
self.ncalls_encode = 0
self.ncalls_encode_approx = 0
def cache_init(self, bound):
"""
Cache for formulae encodings
"""
self.cache_hits = 0
self.enc_fcache = [{} for level in range(0, bound+1)]
self.enc_fcache_approx = [{} for level in range(0, bound+1)]
def cache_save(self, formula, level, formula_encoding):
self.enc_fcache[level][formula] = formula_encoding
def cache_approx_save(self, formula, level, formula_encoding):
self.enc_fcache_approx[level][formula] = formula_encoding
def cache_query(self, formula, level):
if formula in self.enc_fcache[level]:
self.cache_hits += 1
return self.enc_fcache[level][formula]
else:
return None
def cache_query_approx(self, formula, level):
if formula in self.enc_fcache_approx[level]:
self.cache_hits += 1
return self.enc_fcache_approx[level][formula]
else:
return None
def get_cache_hits(self):
return self.cache_hits
def flush_cache(self):
self.enc_fcache = None
self.enc_fcache_approx = None
def get_ncalls(self):
return (self.ncalls_encode, self.ncalls_encode_approx)
def encode_bag(self, bag_formula, level, context=False):
if not bag_formula:
raise RuntimeError("bag_formula is None")
if bag_formula.f_type == BagDesc_oper.entity:
entity_id = self.rs.get_entity_id(bag_formula.entity)
if context:
return self.v_ctx[level][entity_id]
else:
return self.v[level][entity_id]
if bag_formula.f_type == BagDesc_oper.true:
return True
if bag_formula.f_type == BagDesc_oper.l_and:
return And(
self.encode_bag(bag_formula.left_operand, level, context),
self.encode_bag(bag_formula.right_operand, level, context))
if bag_formula.f_type == BagDesc_oper.l_or:
return Or(
self.encode_bag(bag_formula.left_operand, level, context),
self.encode_bag(bag_formula.right_operand, level, context))
if bag_formula.f_type == BagDesc_oper.l_not:
return Not(self.encode_bag(
bag_formula.left_operand, level, context))
if bag_formula.f_type == BagDesc_oper.lt:
return self.encode_bag(
bag_formula.left_operand, level, context) < int(
bag_formula.right_operand)
if bag_formula.f_type == BagDesc_oper.le:
return self.encode_bag(
bag_formula.left_operand, level, context) <= int(
bag_formula.right_operand)
if bag_formula.f_type == BagDesc_oper.eq:
return self.encode_bag(
bag_formula.left_operand, level, context) == int(
bag_formula.right_operand)
if bag_formula.f_type == BagDesc_oper.ge:
return self.encode_bag(
bag_formula.left_operand, level, context) >= int(
bag_formula.right_operand)
if bag_formula.f_type == BagDesc_oper.gt:
return self.encode_bag(
bag_formula.left_operand, level, context) > int(
bag_formula.right_operand)
assert False, "Unsupported case {:s}".format(bag_formula.f_type)
def encode_bag_state(self, bag_formula, level):
res = self.encode_bag(bag_formula, level)
assert res is not None
return res
def encode_bag_ctx(self, bag_formula, level):
res = self.encode_bag(bag_formula, level, context=True)
assert res is not None
return res
def encode(self, formula, level, bound):
self.ncalls_encode += 1
from_cache = self.cache_query(formula, level)
if from_cache is not None:
return from_cache
enc = None
if not isinstance(formula, Formula_rsLTL):
raise NotImplementedError(
"Unsupported formula type: " + str(type(formula)))
if level > bound:
raise RuntimeError(
"level > bound. Unexpected behaviour. The encoding does not support levels higher than a bound.")
if formula.f_type == rsLTL_form_type.bag:
enc = self.encode_bag_state(formula.bag_descr, level)
elif formula.f_type == rsLTL_form_type.l_not:
subform = formula.left_operand
if subform.is_bag:
enc = Not(self.encode_bag_state(subform, level))
else:
raise RuntimeError("Negation can be applied to bags only")
elif formula.f_type == rsLTL_form_type.l_and:
enc = And(
self.encode(formula.left_operand, level, bound),
self.encode(formula.right_operand, level, bound)
)
elif formula.f_type == rsLTL_form_type.l_or:
enc = Or(
self.encode(formula.left_operand, level, bound),
self.encode(formula.right_operand, level, bound)
)
elif formula.f_type == rsLTL_form_type.l_implies:
enc = Implies(
self.encode(formula.left_operand, level, bound),
self.encode(formula.right_operand, level, bound)
)
elif formula.f_type == rsLTL_form_type.t_next:
if level < bound:
enc = And(
self.encode(formula.left_operand, level + 1, bound),
self.encode_bag_ctx(formula.sub_operand, level)
)
else:
# level == bound
enc = False
for loop_level in range(1, bound+1):
enc = simplify(Or(enc, And(self.loop_position == loop_level, self.encode(
formula.left_operand, loop_level, bound))))
enc = And(enc, self.encode_bag_ctx(formula.sub_operand, level))
enc = simplify(enc)
elif formula.f_type == rsLTL_form_type.t_globally:
if level < bound:
enc = And(
self.encode(formula.left_operand, level, bound),
self.encode_bag_ctx(formula.sub_operand, level),
self.encode(formula, level + 1, bound)
)
else:
# level == bound
enc_loops = False
for loop_level in range(1, bound+1):
enc_loops = simplify(Or(enc_loops,
And(
self.loop_position == loop_level,
self.encode_approx(formula, loop_level, bound),
)
))
enc = And(
self.encode(formula.left_operand, bound, bound),
enc_loops,
self.encode_bag_ctx(formula.sub_operand, level)
)
enc = simplify(enc)
elif formula.f_type == rsLTL_form_type.t_finally:
if level < bound:
enc = Or(
self.encode(formula.left_operand, level, bound),
And(
self.encode_bag_ctx(formula.sub_operand, level),
self.encode(formula, level + 1, bound)
)
)
else:
# level == bound
enc_loops = False
for loop_level in range(1, bound+1):
enc_loops = simplify(Or(enc_loops,
And(
self.loop_position == loop_level,
self.encode_approx(formula, loop_level, bound),
)
))
# print(enc)
enc = Or(self.encode(formula.left_operand, bound, bound),
And(
enc_loops,
self.encode_bag_ctx(formula.sub_operand, level)
)
)
enc = simplify(enc)
elif formula.f_type == rsLTL_form_type.t_until:
if level < bound:
inner_enc = self.encode(formula, level + 1, bound)
else:
# level == bound
inner_enc = False
for loop_level in range(1, bound+1):
inner_enc = simplify(Or(inner_enc,
And(
self.loop_position == loop_level,
self.encode_approx(formula, loop_level, bound)
)
))
enc = Or(
self.encode(formula.right_operand, level, bound),
And(
self.encode(formula.left_operand, level, bound),
inner_enc,
self.encode_bag_ctx(formula.sub_operand, level)
)
)
elif formula.f_type == rsLTL_form_type.t_release:
if level < bound:
inner_enc = self.encode(formula, level + 1, bound)
else:
# level == bound
inner_enc = False
for loop_level in range(1, bound+1):
inner_enc = simplify(Or(inner_enc,
And(
self.loop_position == loop_level,
self.encode_approx(formula, loop_level, bound)
)
))
enc = And(
self.encode(formula.right_operand, level, bound),
Or(
self.encode(formula.left_operand, level, bound),
And(
inner_enc,
self.encode_bag_ctx(formula.sub_operand, level)
)
)
)
else:
raise NotImplementedError("Unsupported operator")
if enc is None:
raise RuntimeError("Encoding is NONE. Should never happen")
self.cache_save(formula, level, enc)
return enc
def encode_approx(self, formula, level, bound):
"""Provides the approximation-encoding
Used by encode()
"""
self.ncalls_encode_approx += 1
enc = None
from_cache = self.cache_query_approx(formula, level)
if from_cache is not None:
return from_cache
if formula.f_type == rsLTL_form_type.t_until:
if level < bound:
enc = Or(
self.encode(formula.right_operand, level, bound),
And(
self.encode(formula.left_operand, level, bound),
self.encode_approx(formula, level + 1, bound),
self.encode_bag_ctx(formula.sub_operand, level)
)
)
else:
# level == bound
enc = self.encode(formula.right_operand, bound, bound)
elif formula.f_type == rsLTL_form_type.t_release:
if level < bound:
enc = And(
self.encode(formula.right_operand, level, bound),
Or(
self.encode(formula.left_operand, level, bound),
And(
self.encode_approx(formula, level + 1, bound),
self.encode_bag_ctx(formula.sub_operand, level)
)
)
)
else:
# level == bound
enc = self.encode(formula.right_operand, bound, bound)
elif formula.f_type == rsLTL_form_type.t_globally:
if level < bound:
enc = And(
self.encode(formula.left_operand, level, bound),
self.encode_bag_ctx(formula.sub_operand, level),
self.encode_approx(formula, level + 1, bound)
)
else:
# level == bound
enc = self.encode(formula.left_operand, bound, bound)
elif formula.f_type == rsLTL_form_type.t_finally:
if level < bound:
enc = Or(
self.encode(formula.left_operand, level, bound),
And(
self.encode_bag_ctx(formula.sub_operand, level),
self.encode_approx(formula, level + 1, bound)
)
)
else:
# level == bound
enc = self.encode(formula.left_operand, bound, bound)
else:
raise NotImplementedError(
"Unsupported operator in approximation encoding")
if enc is None:
raise RuntimeError("Encoding is NONE. Should never happen")
self.cache_approx_save(formula, level, enc)
return enc

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@@ -0,0 +1,14 @@
from rs.reaction_system import ReactionSystem
from rs.context_automaton import ContextAutomaton
from rs.reaction_system_with_concentrations import ReactionSystemWithConcentrations
from rs.reaction_system_with_concentrations_param import ReactionSystemWithConcentrationsParam, ParameterObj, is_param
from rs.context_automaton_with_concentrations import ContextAutomatonWithConcentrations
from rs.extended_context_automaton import ExtendedContextAutomaton
from rs.network_of_context_automata import NetworkOfContextAutomata
from rs.reaction_system_with_automaton import ReactionSystemWithAutomaton
from rs.reaction_system_with_autnet import ReactionSystemWithNetworkOfAutomata
# EOF

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@@ -0,0 +1,171 @@
from sys import exit
from colour import *
class ContextAutomaton(object):
def __init__(self, reaction_system):
self._states = []
self._transitions = []
self._init_state = None
self._reaction_system = reaction_system
self._name = ""
self._prod_entities = set()
@property
def states(self):
return self._states
@property
def transitions(self):
return self._transitions
@property
def prod_entities(self):
return self._prod_entities
@property
def reaction_system(self):
return self._reaction_system
@property
def name(self):
return self._name
@name.setter
def name(self, automaton_name):
self._name = automaton_name
def add_state(self, name):
if name not in self._states:
self._states.append(name)
else:
print("\'%s\' already added. skipping..." % (name,))
def add_states(self, states_set):
for st in states_set:
self.add_state(st)
def add_init_state(self, name):
self.add_state(name)
self._init_state = self._states.index(name)
def get_init_state_name(self):
if self._init_state == None:
return None
return self._states[self._init_state]
def is_state(self, name):
if name in self._states:
return True
else:
return False
def get_state_id(self, name):
try:
return self._states.index(name)
except ValueError:
print_error("Undefined context automaton state: " + repr(name))
exit(1)
def get_state_name(self, state_id):
return self._states[state_id]
def get_init_state_id(self):
return self._init_state
def print_states(self):
for state in self._states:
print(state)
def is_valid_rs_set(self, elements):
if set(elements).issubset(self._reaction_system.background_set):
return True
else:
return False
def is_valid_context(self, context):
return self.is_valid_rs_set(context)
def get_set_of_ids(self, elements):
"""Converts a set/list/tuple of entities into a set of their ids"""
new_set = set()
for e in set(elements):
new_set.add(self._reaction_system.get_entity_id(e))
return new_set
def add_transition(self, src, context_set, dst):
if not type(context_set) is set and not type(context_set) is list:
print("Contexts set must be of type set or list")
if not self.is_valid_context(context_set):
raise RuntimeError(
"one of the entities in the context set is unknown (undefined)!")
if not self.is_state(src):
raise RuntimeError(
"\"" + src + "\" is an unknown (undefined) state")
if not self.is_state(dst):
raise RuntimeError(
"\"" + dst + "\" is an unknown (undefined) state")
new_context_set = set()
for e in set(context_set):
new_context_set.add(self._reaction_system.get_entity_id(e))
self._prod_entities |= new_context_set
self._transitions.append(
(self.get_state_id(src),
new_context_set, self.get_state_id(dst)))
def rsset2str(self, elements):
"""Converts the set of entities ids into the string with their names"""
if len(elements) == 0:
return "0"
s = "{"
for c in elements:
s += " " + self._reaction_system.get_entity_name(c)
s += " }"
return s
def context2str(self, ctx):
return self.rsset2str(ctx)
def show_transitions(self):
print(C_MARK_INFO + " Context automaton transitions:")
for transition in self._transitions:
str_transition = str(transition[0]) + " --( "
str_transition += self.context2str(transition[1])
str_transition += " )--> " + str(transition[2])
print(" - " + str_transition)
def show_states(self):
init_state_name = self.get_init_state_name()
print(C_MARK_INFO + " Context automaton states:")
for state in self._states:
print(" - " + state, end="")
if state == init_state_name:
print(" [init]")
else:
print()
def show_header(self):
if self.name:
name_string = ": " + colour_str(C_BOLD, self.name)
print(C_MARK_INFO + " Context automaton" + name_string)
def show_prod_entities(self):
print(C_MARK_INFO + " Context automaton possible products:")
for entity in self._prod_entities:
print(" - " + self._reaction_system.get_entity_name(entity))
def show(self):
self.show_header()
self.show_states()
self.show_transitions()
self.show_prod_entities()
# EOF

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@@ -0,0 +1,83 @@
from sys import exit
from colour import *
from rs.context_automaton import ContextAutomaton
class ContextAutomatonWithConcentrations(ContextAutomaton):
def __init__(self, reaction_system):
super(ContextAutomatonWithConcentrations,
self).__init__(reaction_system)
def is_valid_context(self, context):
if set(
[e for e, lvl in context]).issubset(
self._reaction_system.background_set):
return True
else:
return False
def context2str(self, ctx):
if len(ctx) == 0:
return "0"
s = "{"
for ent, lvl in ctx:
s += " " + str((self._reaction_system.get_entity_name(ent), lvl))
s += " }"
return s
def add_transition(self, src, context_set, dst):
if not type(context_set) is set and not type(context_set) is list:
print("Contexts set must be of type set or list")
if not self.is_valid_context(context_set):
raise RuntimeError(
"one of the entities in the context set is unknown (undefined)!")
if not self.is_state(src):
raise RuntimeError(
"\"" + src + "\" is an unknown (undefined) state")
if not self.is_state(dst):
raise RuntimeError(
"\"" + dst + "\" is an unknown (undefined) state")
new_context_set = set()
for ent, lvl in set(context_set):
new_context_set.add(
(self._reaction_system.get_entity_id(ent), lvl))
self._transitions.append(
(self.get_state_id(src),
new_context_set, self.get_state_id(dst)))
def get_automaton_with_flat_contexts(self, ordinary_reaction_system):
ca = ContextAutomaton(ordinary_reaction_system)
ca._states = self._states
ca._init_state = self._init_state
for src, ctx, dst in self._transitions:
new_ctx = set()
for ent, conc in ctx:
for i in range(1, conc+1):
n = self._reaction_system.get_entity_name(
ent) + "#" + str(i)
ca._reaction_system.ensure_bg_set_entity(n)
new_ctx.add(n)
ca.add_transition(
ca.get_state_name(src),
new_ctx, ca.get_state_name(dst))
return ca
def show(self):
self.show_header()
self.show_states()
self.show_transitions()
# EOF

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@@ -0,0 +1,176 @@
from sys import exit
from colour import *
from rs.context_automaton import ContextAutomaton
class ExtendedContextAutomaton(ContextAutomaton):
"""Extended Context Automaton
Supports transitions with actions.
Each transitions is additionally guarded with
reactants and inhibitors.
The provided context entities are the products
of the reactions labelling the transition taken.
"""
def __init__(self, reaction_system):
super(ExtendedContextAutomaton, self).__init__(reaction_system)
self._actions = []
self._transitions_for_products = dict()
self._actions_for_products = dict()
@property
def number_of_actions(self):
return len(self._actions)
@property
def actions(self):
return self._actions
def has_action(self, action):
"""Checks if the automaton supports a given action"""
return action in self._actions
def get_transitions_producing_entity(self, entity):
"""Returns the transitions that produce a given entity"""
if entity in self._transitions_for_products:
return self._transitions_for_products[entity]
else:
return []
def get_actions_producing_entity(self, entity):
"""Returns the actions that produce a given entity"""
if entity in self._actions_for_products:
return self._actions_for_products[entity]
else:
return set()
def can_produce_entity(self, entity):
"""Check if the automaton can produce an entity"""
if entity in self._actions_for_products:
return True
else:
return False
def add_transition(self, src, actions, ctx_reaction, dst):
"""Adds a transition
src: is the source state name
dst: is the destination state name
actions: is the set of actions with which the transitions is synchronised
ctx_reaction: is the context reaction associated with the transition
"""
ctx_reactants, ctx_inhibitors, ctx_products = ctx_reaction
if not type(ctx_products) is set and not type(ctx_products) is list:
print("Contexts set (context products) must be of type set or list")
if not self.is_valid_rs_set(ctx_reactants):
raise RuntimeError(
"one of the entities in the reactants set is unknown (undefined)!")
if not self.is_valid_rs_set(ctx_inhibitors):
raise RuntimeError(
"one of the entities in the inhibitors set is unknown (undefined)!")
if not self.is_valid_rs_set(ctx_products):
raise RuntimeError(
"one of the entities in the context set is unknown (undefined)!")
if not self.is_state(src):
raise RuntimeError(
"\"" + src + "\" is an unknown (undefined) state")
if not self.is_state(dst):
raise RuntimeError(
"\"" + dst + "\" is an unknown (undefined) state")
src_id = self.get_state_id(src)
dst_id = self.get_state_id(dst)
act_ids = self.get_set_of_action_ids(actions)
r_ids = self.get_set_of_ids(ctx_reactants)
i_ids = self.get_set_of_ids(ctx_inhibitors)
p_ids = self.get_set_of_ids(ctx_products)
new_transition = (src_id, act_ids, (r_ids, i_ids, p_ids), dst_id)
for product_id in p_ids:
self._transitions_for_products.setdefault(product_id, [])
self._transitions_for_products[product_id].append(new_transition)
self._actions_for_products.setdefault(product_id, set())
self._actions_for_products[product_id] |= set(actions)
self._prod_entities |= p_ids
self._transitions.append(new_transition)
def show_transitions(self):
"""Prints the set of registered transitions"""
print(C_MARK_INFO + " Context automaton transitions:")
for src_id, act_id, reaction, dst_id in self._transitions:
str_transition = self.get_state_name(src_id) + " --( "
str_transition += "<" + self.get_actions_str(act_id) + "> | "
str_transition += "( " + self.rsset2str(reaction[0]) + "," + self.rsset2str(
reaction[1]) + "," + self.rsset2str(reaction[2]) + " )"
str_transition += " )--> " + self.get_state_name(dst_id)
print(" - " + str_transition)
def add_action(self, action_name):
"""Registers an action"""
if action_name not in self._actions:
self._actions.append(action_name)
else:
print("\'%s\' already added. skipping..." % (action_name,))
def get_action_id(self, action_name):
"""For an action name returns its id"""
try:
return self._actions.index(action_name)
except ValueError:
print_error("Undefined context automaton action: " +
repr(action_name))
exit(1)
def get_action_name(self, action_id):
return self._actions[action_id]
def get_set_of_action_ids(self, actions):
"""Converts a set of actions into the set of their ids"""
act_ids = set()
for act in actions:
act_ids.add(self.get_action_id(act))
return act_ids
def get_actions_str(self, actions):
"""Returns the string for the set of action ids given by actions"""
s = ""
for act in actions:
s += self.get_action_name(act) + ", "
s = s[:-2]
return s
def show_actions(self):
"""Prints all the actions"""
print(C_MARK_INFO + " Context automaton actions:")
for act in self._actions:
print(" - " + act + " (id=" + str(self.get_action_id(act)) + ")")
def show(self):
super(ExtendedContextAutomaton, self).show()
self.show_actions()
# EOF

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from sys import exit
from colour import *
class NetworkOfContextAutomata(object):
def __init__(self, reaction_system, context_automata):
self.automata = []
self._reaction_system = reaction_system
self._actions = set()
self._prod_entities = set()
self._automata_for_actions = dict()
self._actions_for_products = dict()
if len(context_automata) < 1:
print("Context automata network must contain at least one automaton!")
exit(1)
for automaton in context_automata:
self.add(automaton)
self.sanity_check()
@property
def number_of_automata(self):
return len(self.automata)
@property
def reaction_system(self):
return self._reaction_system
@property
def prod_entities(self):
"""Returns the set of entities that can potentially be produced by the automata in the network"""
return self._prod_entities
@property
def automata_ids(self):
return set(range(len(self.automata)))
def sanity_check(self):
"""Performs a sanity check of the network of automata"""
for automaton in self.automata:
if automaton.reaction_system != self._reaction_system:
print_error(
"Mismatching reaction system used in \"" +
str(automaton.name) + "\"!!!")
exit(1)
def show_prod_entities(self):
print(
C_MARK_INFO +
" Possible context-products for the network of automata:")
for entity in self.prod_entities:
print(" - " + self._reaction_system.get_entity_name(entity))
def show_actions(self):
print(C_MARK_INFO + " Actions of the network:")
for action in self._actions:
print(" - " + action)
def register_action(self, action, aut):
"""Associates an action with an automaton"""
self._automata_for_actions.setdefault(action, set())
aut_index = self.automata.index(aut)
self._automata_for_actions[action].add(aut_index)
def get_actions_producing_entity(self, entity):
"""Returns the set of actions producing an entity"""
if entity in self._actions_for_products:
return self._actions_for_products[entity]
else:
return set()
def get_automata_with_action(self, action):
"""Returns the set of automata that support an action"""
if action in self._automata_for_actions:
return self._automata_for_actions[action]
else:
return set()
def add(self, aut):
"""Adds an automaton to the network"""
self.automata.append(aut)
self._prod_entities |= aut.prod_entities
self._actions |= set(aut.actions)
for action in aut.actions:
self.register_action(action, aut)
for entity in aut.prod_entities:
self._actions_for_products.setdefault(entity, set())
self._actions_for_products[entity] |= aut.get_actions_producing_entity(
entity)
def show(self):
print()
print(C_MARK_INFO + " NETWORK OF CONTEXT AUTOMATA")
for ca in self.automata:
print()
ca.show()
print()
self.show_prod_entities()
self.show_actions()
# EOF

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@@ -0,0 +1,203 @@
from sys import exit
from colour import *
class ReactionSystem(object):
def __init__(self):
self.reactions = []
self.background_set = []
# self.reactions_by_agents = [] # each element is 'reactions_by_prod'
self.reactions_by_prod = None
# legacy:
self.init_contexts = []
self.context_entities = []
@property
def background_set_size(self):
return len(self.background_set)
@property
def set_of_bgset_ids(self):
return set(range(self.background_set_size))
@property
def ordered_list_of_bgset_ids(self):
return list(range(self.background_set_size))
def assume_not_in_bgset(self, name):
if self.is_in_background_set(name):
raise RuntimeError(
"The entity " + name + " is already on the list")
def add_bg_set_entity(self, name):
self.assume_not_in_bgset(name)
self.background_set.append(name)
def ensure_bg_set_entity(self, name):
if not self.is_in_background_set(name):
self.background_set.append(name)
def add_bg_set_entities(self, elements):
for e in elements:
self.add_bg_set_entity(e)
def is_in_background_set(self, entity):
"""Checks if the given name is valid wrt the background set="""
if entity in self.background_set:
return True
else:
return False
def get_entity_id(self, name):
try:
return self.background_set.index(name)
except ValueError:
print("Undefined background set entity: " + repr(name))
exit(1)
def get_state_ids(self, state):
ids = []
for entity in state:
ids.append(self.get_entity_id(entity))
return ids
def get_entity_name(self, entity_id):
"""Returns the string corresponding to the entity"""
return self.background_set[entity_id]
def add_reaction(self, R, I, P):
"""Adds a reaction"""
if R == [] or P == []:
raise RuntimeError("No reactants or products defined")
reactants = []
for entity in R:
reactants.append(self.get_entity_id(entity))
inhibitors = []
for entity in I:
inhibitors.append(self.get_entity_id(entity))
products = []
for entity in P:
products.append(self.get_entity_id(entity))
self.reactions.append((reactants, inhibitors, products))
def add_initial_context_set(self, context_set):
if context_set == []:
print("Empty context set is not allowed")
raise
integers = []
for entity in context_set:
if not entity in self.background_set:
print("The entity", entity, "is not in the background set")
raise
else:
integers.append(self.get_entity_id(entity))
self.init_contexts.append(integers)
def set_context_entities(self, entities):
for entity in entities:
entity_id = self.get_entity_id(entity)
self.context_entities.append(entity_id)
def entities_names_set_to_str(self, entities):
s = ""
for entity in entities:
s += entity + ", "
s = s[:-2]
return s
def entities_ids_set_to_str(self, entities):
s = ""
for entity in entities:
s += self.get_entity_name(entity) + ", "
s = s[:-2]
return s
def state_to_str(self, state):
return self.entities_ids_set_to_str(state)
def show_reactions(self, soft=False):
print(C_MARK_INFO + " Reactions:")
if soft and len(self.reactions) > 50:
print(" -> there are more than 50 reactions (" +
str(len(self.reactions)) + ")")
else:
print(
" "*4 + "{0: ^35}{1: ^25}{2: ^15}".format("reactants", " inhibitors", " products"))
for reaction in self.reactions:
# print("\t( R={" + self.state_to_str(reaction[0]) + "}, I={" + self.state_to_str(reaction[1]) + "}, P={" + self.state_to_str(reaction[2]) + "} )")
print(" " + "- {0: ^35}{1: ^25}{2: ^15}".format("{ " + self.state_to_str(reaction[0]) + " }",
" { " + self.state_to_str(reaction[1]) + " }",
" { " + self.state_to_str(reaction[2]) + " }"))
def show_background_set(self):
print(
C_MARK_INFO + " Background set: {" + self.entities_names_set_to_str(self.background_set) + "}")
def show_initial_contexts(self):
if len(self.init_contexts) > 0:
print(C_MARK_INFO + " Initial context sets:")
for ctx in self.init_contexts:
print(" - {" + self.entities_ids_set_to_str(ctx) + "}")
def show_context_entities(self):
if len(self.context_entities) > 0:
print(
C_MARK_INFO + " Context entities: " + self.entities_ids_set_to_str(self.context_entities))
def show(self, soft=False):
self.show_background_set()
self.show_initial_contexts()
self.show_reactions(soft)
self.show_context_entities()
def get_reactions_by_product(self):
"""Sorts reactions by their products and returns a dictionary of products"""
if self.reactions_by_prod != None:
return self.reactions_by_prod
producible_entities = set()
for reaction in self.reactions:
producible_entities = producible_entities.union(set(reaction[2]))
reactions_by_prod = {}
for prod_entity in producible_entities:
reactions_by_prod[prod_entity] = []
for reaction in self.reactions:
if prod_entity in reaction[2]:
reactions_by_prod[prod_entity].append(
[reaction[0], reaction[1]])
# save in cache
self.reactions_by_prod = reactions_by_prod
return reactions_by_prod
def sanity_check(self):
"""Performs a sanity check on the defined reaction system"""
if self.reactions == []:
print("No reactions defined")
exit(1)
if self.background_set == []:
print("Empty background set")
exit(1)
# EOF

View File

@@ -0,0 +1,12 @@
class ReactionSystemWithNetworkOfAutomata(object):
def __init__(self, reaction_system, context_automata):
self.rs = reaction_system
self.cas = context_automata
def show(self, soft=False):
self.rs.show(soft)
self.cas.show()
# EOF

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from rs.reaction_system_with_concentrations import ReactionSystemWithConcentrations
from rs.reaction_system_with_concentrations_param import ReactionSystemWithConcentrationsParam
from rs.context_automaton_with_concentrations import ContextAutomatonWithConcentrations
class ReactionSystemWithAutomaton(object):
def __init__(self, reaction_system, context_automaton):
self.rs = reaction_system
self.ca = context_automaton
def show(self, soft=False):
self.rs.show(soft)
self.ca.show()
def is_concentr_and_param_compatible(self):
"""
Checks if the underlying RS/CA are compatible
with parameters and concentrations
"""
if not isinstance(self.rs, ReactionSystemWithConcentrationsParam):
return False
if not isinstance(self.ca, ContextAutomatonWithConcentrations):
return False
return True
def is_with_concentrations(self):
if not isinstance(self.rs, ReactionSystemWithConcentrations):
return False
if not isinstance(self.ca, ContextAutomatonWithConcentrations):
return False
return True
def sanity_check(self):
pass
def get_ordinary_reaction_system_with_automaton(self):
if not self.is_with_concentrations():
raise RuntimeError("Not RS/CA with concentrations")
ors = self.rs.get_reaction_system()
oca = self.ca.get_automaton_with_flat_contexts(ors)
return ReactionSystemWithAutomaton(ors, oca)

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from sys import exit
from colour import *
from rs.reaction_system import ReactionSystem
class ReactionSystemWithConcentrations(ReactionSystem):
def __init__(self):
self.reactions = []
self.meta_reactions = dict()
self.permanent_entities = dict()
self.background_set = []
self.context_entities = [] # legacy. to be removed
self.reactions_by_prod = None
self.max_concentration = 0
self.max_conc_per_ent = dict()
def add_bg_set_entity(self, e):
name = ""
def_max_conc = -1
if type(e) is tuple and len(e) == 2:
name, def_max_conc = e
elif type(e) is str:
name = e
print("\nWARNING: no maximal concentration level specified for:", e, "\n")
else:
raise RuntimeError(
"Bad entity type when adding background set element")
self.assume_not_in_bgset(name)
self.background_set.append(name)
if def_max_conc != -1:
ent_id = self.get_entity_id(name)
self.max_conc_per_ent.setdefault(ent_id, 0)
if self.max_conc_per_ent[ent_id] < def_max_conc:
self.max_conc_per_ent[ent_id] = def_max_conc
if self.max_concentration < def_max_conc:
self.max_concentration = def_max_conc
def get_max_concentration_level(self, e):
if e in self.max_conc_per_ent:
return self.max_conc_per_ent[e]
else:
return self.max_concentration
def is_valid_entity_with_concentration(self, e):
"""Sanity check for entities with concentration"""
if type(e) is tuple:
if len(e) == 2 and type(e[1]) is int:
return True
if type(e) is list:
if len(e) == 2 and type(e[1]) is int:
return True
print("FATAL. Invalid entity+concentration: {:s}".format(e))
exit(1)
return False
def get_state_ids(self, state):
"""Returns entities of the given state without levels"""
return [e for e, c in state]
def has_non_zero_concentration(self, elem):
if elem[1] < 1:
raise RuntimeError(
"Unexpected concentration level in state: " + str(elem))
def process_rip(self, R, I, P, ignore_empty_R=False):
"""Chcecks concentration levels and converts entities names into their ids"""
if R == [] and not ignore_empty_R:
raise RuntimeError("No reactants defined")
reactants = []
for r in R:
self.is_valid_entity_with_concentration(r)
self.has_non_zero_concentration(r)
entity, level = r
reactants.append((self.get_entity_id(entity), level))
if self.max_concentration < level:
self.max_concentration = level
inhibitors = []
for i in I:
self.is_valid_entity_with_concentration(i)
self.has_non_zero_concentration(i)
entity, level = i
inhibitors.append((self.get_entity_id(entity), level))
if self.max_concentration < level:
self.max_concentration = level
products = []
for p in P:
self.is_valid_entity_with_concentration(p)
self.has_non_zero_concentration(p)
entity, level = p
products.append((self.get_entity_id(entity), level))
return reactants, inhibitors, products
def add_reaction(self, R, I, P):
"""Adds a reaction"""
if P == []:
raise RuntimeError("No products defined")
reaction = self.process_rip(R, I, P)
self.reactions.append(reaction)
def add_reaction_without_reactants(self, R, I, P):
"""Adds a reaction"""
if P == []:
raise RuntimeError("No products defined")
reaction = self.process_rip(R, I, P, ignore_empty_R=True)
self.reactions.append(reaction)
def add_reaction_inc(self, incr_entity, incrementer, R, I):
"""Adds a macro/meta reaction for increasing the value of incr_entity"""
reactants, inhibitors, products = self.process_rip(
R, I, [], ignore_empty_R=True)
incr_entity_id = self.get_entity_id(incr_entity)
self.meta_reactions.setdefault(incr_entity_id, [])
self.meta_reactions[incr_entity_id].append(
("inc", self.get_entity_id(incrementer), reactants, inhibitors))
def add_reaction_dec(self, decr_entity, decrementer, R, I):
"""Adds a macro/meta reaction for decreasing the value of incr_entity"""
reactants, inhibitors, products = self.process_rip(
R, I, [], ignore_empty_R=True)
decr_entity_id = self.get_entity_id(decr_entity)
self.meta_reactions.setdefault(decr_entity_id, [])
self.meta_reactions[decr_entity_id].append(
("dec", self.get_entity_id(decrementer), reactants, inhibitors))
def add_permanency(self, ent, I):
"""Sets entity to be permanent unless it is inhibited"""
ent_id = self.get_entity_id(ent)
if ent_id in self.permanent_entities:
raise RuntimeError(
"Permanency for {0} already defined.".format(ent))
inhibitors = self.process_rip([], I, [], ignore_empty_R=True)[1]
self.permanent_entities[ent_id] = inhibitors
def set_context_entities(self, entities):
raise NotImplementedError
def entities_names_set_to_str(self, entities):
s = ""
for entity in entities:
s += entity + ", "
s = s[:-2]
return s
def entities_ids_set_to_str(self, entities):
s = ""
for entity in entities:
s += self.get_entity_name(entity) + ", "
s = s[:-2]
return s
def state_to_str(self, state):
s = ""
for ent, level in state:
s += self.get_entity_name(ent) + "=" + str(level) + ", "
s = s[:-2]
return s
def show_background_set(self):
print(
C_MARK_INFO + " Background set: {" + self.entities_names_set_to_str(self.background_set) + "}")
def show_meta_reactions(self):
print(C_MARK_INFO + " Meta reactions:")
for param_ent, reactions in self.meta_reactions.items():
for r_type, command, reactants, inhibitors in reactions:
if r_type == "inc" or r_type == "dec":
print(" - [ Type=" + repr(r_type) + " Operand=( " + self.get_entity_name(param_ent) + " ) Command=( " + self.get_entity_name(
command) + " ) ] -- ( R={" + self.state_to_str(reactants) + "}, I={" + self.state_to_str(inhibitors) + "} )")
else:
raise RuntimeError(
"Unknown meta-reaction type: " + repr(r_type))
def show_max_concentrations(self):
print(
C_MARK_INFO +
" Maximal allowed concentration levels (for optimized translation to RS):")
for e, max_conc in self.max_conc_per_ent.items():
print(" - {0:^20} = {1:<6}".format(self.get_entity_name(e), max_conc))
def show_permanent_entities(self):
print(C_MARK_INFO + " Permanent entities:")
for e, inhibitors in self.permanent_entities.items():
print(" - {0:^20}{1:<6}".format(self.get_entity_name(e) + ": ",
"I={" + self.state_to_str(inhibitors) + "}"))
def show(self, soft=False):
self.show_background_set()
self.show_reactions(soft)
self.show_permanent_entities()
self.show_meta_reactions()
self.show_max_concentrations()
def get_reactions_by_product(self):
"""Sorts reactions by their products and returns a dictionary of products"""
if self.reactions_by_prod != None:
return self.reactions_by_prod
producible_entities = set()
for reaction in self.reactions:
product_entities = [e for e, c in reaction[2]]
producible_entities = producible_entities.union(
set(product_entities))
reactions_by_prod = {}
for p_e in producible_entities:
reactions_by_prod[p_e] = []
rcts_for_p_e = reactions_by_prod[p_e]
for r in self.reactions:
product_entities = [e for e, c in r[2]]
if p_e in product_entities:
reactants = r[0]
inhibitors = r[1]
products = [(e, c) for e, c in r[2] if e == p_e]
prod_conc = products[0][1]
insert_place = None
# we need to order the reactions w.r.t. the concentration levels produced (increasing order)
for i in range(0, len(rcts_for_p_e)):
checked_conc = rcts_for_p_e[i][2][0][1]
if prod_conc <= checked_conc:
insert_place = i
break
if insert_place == None: # empty or the is only one element which is smaller than the element being added
# we append (to the end)
rcts_for_p_e.append((reactants, inhibitors, products))
else:
rcts_for_p_e.insert(
insert_place, (reactants, inhibitors, products))
# save in cache
self.reactions_by_prod = reactions_by_prod
return reactions_by_prod
def get_reaction_system(self):
rs = ReactionSystem()
for reactants, inhibitors, products in self.reactions:
new_reactants = []
new_inhibitors = []
new_products = []
for ent, conc in reactants:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_reactants.append(n)
for ent, conc in inhibitors:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_inhibitors.append(n)
for ent, conc in products:
for i in range(1, conc+1):
n = self.get_entity_name(ent) + "#" + str(i)
rs.ensure_bg_set_entity(n)
new_products.append(n)
rs.add_reaction(new_reactants, new_inhibitors, new_products)
for param_ent, reactions in self.meta_reactions.items():
for r_type, command, reactants, inhibitors in reactions:
param_ent_name = self.get_entity_name(param_ent)
new_reactants = []
new_inhibitors = []
for ent, conc in reactants:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_reactants.append(n)
for ent, conc in inhibitors:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_inhibitors.append(n)
max_cmd_c = self.max_concentration
if command in self.max_conc_per_ent:
max_cmd_c = self.max_conc_per_ent[command]
else:
print(
"WARNING:\n\tThere is no maximal concentration level defined for "
+ self.get_entity_name(command))
print("\tThis is a very bad idea -- expect degraded performance\n")
for l in range(1, max_cmd_c+1):
cmd_ent = self.get_entity_name(command) + "#" + str(l)
rs.ensure_bg_set_entity(cmd_ent)
if r_type == "inc":
# pre_conc -- predecessor concentration
# succ_conc -- successor concentration concentration
for i in range(1, self.max_concentration):
pre_conc = param_ent_name + "#" + str(i)
rs.ensure_bg_set_entity(pre_conc)
new_products = []
succ_value = i+l
for j in range(1, succ_value+1):
if j > self.max_concentration:
break
new_p = param_ent_name + "#" + str(j)
rs.ensure_bg_set_entity(new_p)
new_products.append(new_p)
if new_products != []:
rs.add_reaction(
set(new_reactants + [pre_conc, cmd_ent]),
set(new_inhibitors),
set(new_products))
elif r_type == "dec":
for i in range(1, self.max_concentration+1):
pre_conc = param_ent_name + "#" + str(i)
rs.ensure_bg_set_entity(pre_conc)
new_products = []
succ_value = i-l
for j in range(1, succ_value+1):
if j > self.max_concentration:
break
new_p = param_ent_name + "#" + str(j)
rs.ensure_bg_set_entity(new_p)
new_products.append(new_p)
if new_products != []:
rs.add_reaction(
set(new_reactants + [pre_conc, cmd_ent]),
set(new_inhibitors),
set(new_products))
else:
raise RuntimeError(
"Unknown meta-reaction type: " + repr(r_type))
for ent, inhibitors in self.permanent_entities.items():
max_c = self.max_concentration
if ent in self.max_conc_per_ent:
max_c = self.max_conc_per_ent[ent]
else:
print(
"WARNING:\n\tThere is no maximal concentration level defined for "
+ self.get_entity_name(ent))
print("\tThis is a very bad idea -- expect degraded performance\n")
def e_value(i):
return self.get_entity_name(ent) + "#" + str(i)
for value in range(1, max_c+1):
new_reactants = []
new_inhibitors = []
new_products = []
new_reactants = [e_value(value)]
for e_inh, conc in inhibitors:
n = self.get_entity_name(e_inh) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_inhibitors.append(n)
for i in range(1, value+1):
new_products.append(e_value(i))
rs.add_reaction(new_reactants, new_inhibitors, new_products)
return rs
class ReactionSystemWithAutomaton(object):
def __init__(self, reaction_system, context_automaton):
self.rs = reaction_system
self.ca = context_automaton
def show(self, soft=False):
self.rs.show(soft)
self.ca.show()
def is_with_concentrations(self):
if not isinstance(self.rs, ReactionSystemWithConcentrations):
return False
if not isinstance(self.ca, ContextAutomatonWithConcentrations):
return False
return True
def sanity_check(self):
pass
def get_ordinary_reaction_system_with_automaton(self):
if not self.is_with_concentrations():
raise RuntimeError("Not RS/CA with concentrations")
ors = self.rs.get_reaction_system()
oca = self.ca.get_automaton_with_flat_contexts(ors)
return ReactionSystemWithAutomaton(ors, oca)
# EOF

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from sys import exit
from colour import *
from rs.reaction_system import ReactionSystem
class ParameterObj(object):
def __init__(self, name):
self.name = name
def __repr__(self):
return "@{0}".format(self.name)
def is_param(some_object):
if isinstance(some_object, ParameterObj):
return True
else:
return False
class ReactionSystemWithConcentrationsParam(ReactionSystem):
def __init__(self):
self.reactions = []
self.parameters = dict()
self.meta_reactions = dict()
self.permanent_entities = dict()
self.background_set = []
self.context_entities = [] # legacy. to be removed
self.reactions_by_prod = None
self.max_concentration = 1
self.max_conc_per_ent = dict()
def add_bg_set_entity(self, e):
name = ""
def_max_conc = -1
if type(e) is tuple and len(e) == 2:
name, def_max_conc = e
elif type(e) is str:
name = e
print("\nWARNING: no maximal concentration level specified for:", e, "\n")
else:
raise RuntimeError(
"Bad entity type when adding background set element")
self.assume_not_in_bgset(name)
self.background_set.append(name)
if def_max_conc != -1:
ent_id = self.get_entity_id(name)
self.max_conc_per_ent.setdefault(ent_id, 0)
if self.max_conc_per_ent[ent_id] < def_max_conc:
self.max_conc_per_ent[ent_id] = def_max_conc
if self.max_concentration < def_max_conc:
self.max_concentration = def_max_conc
def get_param(self, name):
if self.has_param(name):
return self.parameters[name]
else:
param = ParameterObj(name)
self.add_param(param)
return param
def has_param(self, name):
return name in self.parameters
def add_param(self, param):
if param in self.parameters:
raise RuntimeError("Parameter {:s} already exists".format(param))
param_key = param.name
self.parameters[param_key] = param
self.parameters[param_key].idx = len(self.parameters)
def get_max_concentration_level(self, e):
if e in self.max_conc_per_ent:
return self.max_conc_per_ent[e]
else:
return self.max_concentration
def is_valid_entity_with_concentration(self, e):
"""Sanity check for entities with concentration"""
if type(e) is tuple:
if len(e) == 2 and type(e[1]) is int:
return True
if type(e) is list:
if len(e) == 2 and type(e[1]) is int:
return True
print("FATAL. Invalid entity+concentration: {:s}".format(e))
exit(1)
return False
def get_state_ids(self, state):
"""Returns entities of the given state without levels"""
return [self.get_entity_id(e) for e in state]
def has_non_zero_concentration(self, elem):
if elem[1] < 1:
raise RuntimeError(
"Unexpected concentration level in state: " + str(elem))
def process_rip(self, R, I, P, ignore_empty_R=False):
"""Chcecks concentration levels and converts entities names into their ids"""
if R == [] and not ignore_empty_R:
raise RuntimeError("No reactants defined")
#
# REACTANTS
#
reactants = []
if isinstance(R, ParameterObj):
reactants = R
else:
for r in R:
self.is_valid_entity_with_concentration(r)
self.has_non_zero_concentration(r)
entity, level = r
reactants.append((self.get_entity_id(entity), level))
if self.max_concentration < level:
self.max_concentration = level
#
# INHIBITORS
#
inhibitors = []
if isinstance(I, ParameterObj):
inhibitors = I
else:
for i in I:
self.is_valid_entity_with_concentration(i)
self.has_non_zero_concentration(i)
entity, level = i
inhibitors.append((self.get_entity_id(entity), level))
if self.max_concentration < level:
self.max_concentration = level
#
# PRODUCTS
#
products = []
if isinstance(P, ParameterObj):
products = P
else:
for p in P:
self.is_valid_entity_with_concentration(p)
self.has_non_zero_concentration(p)
entity, level = p
products.append((self.get_entity_id(entity), level))
return reactants, inhibitors, products
def is_parametric_reaction(self, reaction):
result = any([isinstance(r_set, ParameterObj) for r_set in reaction])
return result
def add_reaction(self, R, I, P):
"""Adds a reaction
R, I, and P are sets of entities (not their IDs)
"""
if P == []:
raise RuntimeError("No products defined")
reaction = self.process_rip(R, I, P)
self.reactions.append(reaction)
def add_reaction_without_reactants(self, R, I, P):
"""Adds a reaction"""
if P == []:
raise RuntimeError("No products defined")
reaction = self.process_rip(R, I, P, ignore_empty_R=True)
self.reactions.append(reaction)
def add_reaction_inc(self, incr_entity, incrementer, R, I):
"""Adds a macro/meta reaction for increasing the value of incr_entity"""
reactants, inhibitors, products = self.process_rip(
R, I, [], ignore_empty_R=True)
incr_entity_id = self.get_entity_id(incr_entity)
self.meta_reactions.setdefault(incr_entity_id, [])
self.meta_reactions[incr_entity_id].append(
("inc", self.get_entity_id(incrementer), reactants, inhibitors))
def add_reaction_dec(self, decr_entity, decrementer, R, I):
"""Adds a macro/meta reaction for decreasing the value of incr_entity"""
reactants, inhibitors, products = self.process_rip(
R, I, [], ignore_empty_R=True)
decr_entity_id = self.get_entity_id(decr_entity)
self.meta_reactions.setdefault(decr_entity_id, [])
self.meta_reactions[decr_entity_id].append(
("dec", self.get_entity_id(decrementer), reactants, inhibitors))
def add_permanency(self, ent, I):
"""Sets entity to be permanent unless it is inhibited"""
ent_id = self.get_entity_id(ent)
if ent_id in self.permanent_entities:
raise RuntimeError(
"Permanency for {0} already defined.".format(ent))
inhibitors = self.process_rip([], I, [], ignore_empty_R=True)[1]
self.permanent_entities[ent_id] = inhibitors
def set_context_entities(self, entities):
raise NotImplementedError
def entities_names_set_to_str(self, entities):
s = ""
for entity in entities:
s += entity + ", "
s = s[:-2]
return s
def entities_ids_set_to_str(self, entities):
s = ""
for entity in entities:
s += self.get_entity_name(entity) + ", "
s = s[:-2]
return s
def state_to_str(self, state):
"""
If state is a parameter, we return
the string representation of the whole state
which should be the name of the parameter
"""
if isinstance(state, ParameterObj):
return str(state)
else:
s = ""
for ent, level in state:
s += self.get_entity_name(ent) + "=" + str(level) + ", "
s = s[:-2]
return s
def show_background_set(self):
print(
C_MARK_INFO + " Background set: {" + self.entities_names_set_to_str(self.background_set) + "}")
def show_meta_reactions(self):
print(C_MARK_INFO + " Meta reactions:")
for param_ent, reactions in self.meta_reactions.items():
for r_type, command, reactants, inhibitors in reactions:
if r_type == "inc" or r_type == "dec":
print(" - [ Type=" + repr(r_type) + " Operand=( " + self.get_entity_name(param_ent) + " ) Command=( " + self.get_entity_name(
command) + " ) ] -- ( R={" + self.state_to_str(reactants) + "}, I={" + self.state_to_str(inhibitors) + "} )")
else:
raise RuntimeError(
"Unknown meta-reaction type: " + repr(r_type))
def show_max_concentrations(self):
print(C_MARK_INFO + " Maximal allowed concentration levels:")
for e, max_conc in self.max_conc_per_ent.items():
print(" - {0:^20} = {1:<6}".format(self.get_entity_name(e), max_conc))
def show_permanent_entities(self):
print(C_MARK_INFO + " Permanent entities:")
for e, inhibitors in self.permanent_entities.items():
print(" - {0:^20}{1:<6}".format(self.get_entity_name(e) + ": ",
"I={" + self.state_to_str(inhibitors) + "}"))
def show(self, soft=False):
self.show_background_set()
self.show_reactions(soft)
# self.show_param_reactions(soft)
self.show_permanent_entities()
self.show_meta_reactions()
self.show_max_concentrations()
def get_producible_entities(self):
"""
Returns the set of entities that appear as products of
reactions.
"""
producible_entities = set()
for reaction in self.reactions:
product_entities = [e for e, c in reaction[2] if c > 0]
producible_entities = producible_entities.union(
set(product_entities))
return producible_entities
def get_reaction_system(self):
"""
Translates RSC into RS
"""
rs = ReactionSystem()
for reactants, inhibitors, products in self.reactions:
new_reactants = []
new_inhibitors = []
new_products = []
for ent, conc in reactants:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_reactants.append(n)
for ent, conc in inhibitors:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_inhibitors.append(n)
for ent, conc in products:
for i in range(1, conc + 1):
n = self.get_entity_name(ent) + "#" + str(i)
rs.ensure_bg_set_entity(n)
new_products.append(n)
rs.add_reaction(new_reactants, new_inhibitors, new_products)
for param_ent, reactions in self.meta_reactions.items():
for r_type, command, reactants, inhibitors in reactions:
param_ent_name = self.get_entity_name(param_ent)
new_reactants = []
new_inhibitors = []
for ent, conc in reactants:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_reactants.append(n)
for ent, conc in inhibitors:
n = self.get_entity_name(ent) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_inhibitors.append(n)
max_cmd_c = self.max_concentration
if command in self.max_conc_per_ent:
max_cmd_c = self.max_conc_per_ent[command]
else:
print(
"WARNING:\n\tThere is no maximal concentration level defined for "
+ self.get_entity_name(command))
print("\tThis is a very bad idea -- expect degraded performance\n")
for l in range(1, max_cmd_c + 1):
cmd_ent = self.get_entity_name(command) + "#" + str(l)
rs.ensure_bg_set_entity(cmd_ent)
if r_type == "inc":
# pre_conc -- predecessor concentration
# succ_conc -- successor concentration concentration
for i in range(1, self.max_concentration):
pre_conc = param_ent_name + "#" + str(i)
rs.ensure_bg_set_entity(pre_conc)
new_products = []
succ_value = i + l
for j in range(1, succ_value + 1):
if j > self.max_concentration:
break
new_p = param_ent_name + "#" + str(j)
rs.ensure_bg_set_entity(new_p)
new_products.append(new_p)
if new_products != []:
rs.add_reaction(
set(new_reactants + [pre_conc, cmd_ent]),
set(new_inhibitors),
set(new_products))
elif r_type == "dec":
for i in range(1, self.max_concentration + 1):
pre_conc = param_ent_name + "#" + str(i)
rs.ensure_bg_set_entity(pre_conc)
new_products = []
succ_value = i - l
for j in range(1, succ_value + 1):
if j > self.max_concentration:
break
new_p = param_ent_name + "#" + str(j)
rs.ensure_bg_set_entity(new_p)
new_products.append(new_p)
if new_products != []:
rs.add_reaction(
set(new_reactants + [pre_conc, cmd_ent]),
set(new_inhibitors),
set(new_products))
else:
raise RuntimeError(
"Unknown meta-reaction type: " + repr(r_type))
for ent, inhibitors in self.permanent_entities.items():
max_c = self.max_concentration
if ent in self.max_conc_per_ent:
max_c = self.max_conc_per_ent[ent]
else:
print(
"WARNING:\n\tThere is no maximal concentration level defined for "
+ self.get_entity_name(ent))
print("\tThis is a very bad idea -- expect degraded performance\n")
def e_value(i):
return self.get_entity_name(ent) + "#" + str(i)
for value in range(1, max_c + 1):
new_reactants = []
new_inhibitors = []
new_products = []
new_reactants = [e_value(value)]
for e_inh, conc in inhibitors:
n = self.get_entity_name(e_inh) + "#" + str(conc)
rs.ensure_bg_set_entity(n)
new_inhibitors.append(n)
for i in range(1, value + 1):
new_products.append(e_value(i))
rs.add_reaction(new_reactants, new_inhibitors, new_products)
return rs
# EOF

190
reactics-smt/rs_examples.py Normal file
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#!/usr/bin/env python
from rs import *
from smt import *
import sys
import resource
def chain_reaction(print_system=False):
if len(sys.argv) < 1+3:
print("provide N M B")
print(" B=1 - RSC")
print(" B=0 - Translated RSC into RS")
exit(1)
chainLen=int(sys.argv[1]) # chain length
maxConc=int(sys.argv[2]) # depth (max concentration)
verify_rsc=bool(int(sys.argv[3]))
if chainLen < 1 or maxConc < 1:
print("be reasonable")
exit(1)
r = ReactionSystemWithConcentrations()
r.add_bg_set_entity(("inc",1))
# r.add_bg_set_entity(("reset",1))
r.add_bg_set_entity(("dec",1))
# r.add_bg_set_entity(("x",1))
for i in range(1,chainLen+1):
r.add_bg_set_entity(("e_" + str(i),maxConc))
for i in range(1,chainLen+1):
ent = "e_" + str(i)
# r.add_reaction_inc(ent, "inc", [(ent, 1)],[("reset",1),(ent,maxConc)])
r.add_reaction_inc(ent, "inc", [(ent, 1)],[(ent,maxConc)])
r.add_reaction_dec(ent, "dec", [(ent, 1)],[])
# r.add_reaction([(ent,1),("reset",1)],[],[(ent,1)])
if i < chainLen:
r.add_reaction([(ent,maxConc)],[],[("e_"+str(i+1),1)])
r.add_reaction([("e_" + str(chainLen),maxConc)],[("dec",1)],[("e_" + str(chainLen),maxConc)])
# r.add_reaction([("e_" + str(chainLen),maxConc)],[],[("e_" + str(chainLen),maxConc)])
c = ContextAutomatonWithConcentrations(r)
c.add_init_state("init")
c.add_state("working")
c.add_transition("init", [("e_1",1),("inc",1)], "working")
c.add_transition("working", [("inc",1)], "working")
# c.add_transition("working", [("reset",1)], "working")
# c.add_transition("working",[("x",1)],"working")
rc = ReactionSystemWithAutomaton(r,c)
if print_system:
rc.show()
if verify_rsc:
smt_rsc = SmtCheckerRSC(rc)
prop = [('e_'+str(chainLen),maxConc)]
smt_rsc.check_reachability((prop,[]),max_level=maxConc*chainLen+10)
# smt_rsc.show_encoding(prop,print_time=True,max_level=maxConc*chainLen+10)
else:
orc = rc.get_ordinary_reaction_system_with_automaton()
if print_system:
print("\nTranslated:")
orc.show()
smt_tr_rs = SmtCheckerRS(orc)
smt_tr_rs.check_reachability(['e_'+str(chainLen)+"#"+str(maxConc)])
# print("Reaction System with Concentrations:", smt_rsc.get_verification_time())
# print("Reaction System from translating RSC:", smt_tr_rs.get_verification_time())
time=0
mem_usage=resource.getrusage(resource.RUSAGE_SELF).ru_maxrss/(1024*1024)
if verify_rsc:
filename_t="bench_rsc_time.log"
filename_m="bench_rsc_mem.log"
time=smt_rsc.get_verification_time()
else:
filename_t="bench_tr_rs_time.log"
filename_m="bench_tr_rs_mem.log"
time=smt_tr_rs.get_verification_time()
f=open(filename_t, 'a')
log_str="(" + str(chainLen) + "," + str(maxConc) + "," + str(time) + ")\n"
f.write(log_str)
f.close()
f=open(filename_m, 'a')
log_str="(" + str(chainLen) + "," + str(maxConc) + "," + str(mem_usage) + ")\n"
f.write(log_str)
f.close()
def heat_shock_response(print_system=True,verify_rsc=True):
if len(sys.argv) < 1+1:
print("provide B")
print(" B=1 - RSC")
print(" B=0 - Translated RSC into RS")
exit(1)
verify_rsc=bool(int(sys.argv[1]))
stress_temp = 42
max_temp = 50
r = ReactionSystemWithConcentrations()
r.add_bg_set_entity(("hsp",1))
r.add_bg_set_entity(("hsf",1))
r.add_bg_set_entity(("hsf2",1))
r.add_bg_set_entity(("hsf3",1))
r.add_bg_set_entity(("hse",1))
r.add_bg_set_entity(("mfp",1))
r.add_bg_set_entity(("prot",1))
r.add_bg_set_entity(("hsf3:hse",1))
r.add_bg_set_entity(("hsp:mfp",1))
r.add_bg_set_entity(("hsp:hsf",1))
r.add_bg_set_entity(("temp",max_temp))
r.add_bg_set_entity(("heat",1))
r.add_bg_set_entity(("cool",1))
r.add_reaction([("hsf",1)], [("hsp",1)], [("hsf3",1)])
r.add_reaction([("hsf",1),("hsp",1),("mfp",1)], [], [("hsf3",1)])
r.add_reaction([("hsf3",1)], [("hse",1),("hsp",1)],[("hsf",1)])
r.add_reaction([("hsf3",1),("hsp",1),("mfp",1)], [("hse",1)], [("hsf",1)])
r.add_reaction([("hsf3",1),("hse",1)], [("hsp",1)], [("hsf3:hse",1)])
r.add_reaction([("hsp",1),("hsf3",1),("mfp",1),("hse",1)],[], [("hsf3:hse",1)])
r.add_reaction([("hse",1)], [("hsf3",1)], [("hse",1)])
r.add_reaction([("hsp",1),("hsf3",1),("hse",1)], [("mfp",1)], [("hse",1)])
r.add_reaction([("hsf3:hse",1)], [("hsp",1)], [("hsp",1),("hsf3:hse",1)])
r.add_reaction([("hsp",1),("mfp",1),("hsf3:hse",1)],[], [("hsp",1),("hsf3:hse",1)])
r.add_reaction([("hsf",1),("hsp",1)], [("mfp",1)], [("hsp:hsf",1)])
r.add_reaction([("hsp:hsf",1),("temp",stress_temp)],[], [("hsf",1),("hsp",1)])
r.add_reaction([("hsp:hsf",1)], [("temp",stress_temp)],[("hsp:hsf",1)])
r.add_reaction([("hsp",1),("hsf3:hse",1)], [("mfp",1)], [("hse",1),("hsp:hsf",1)])
r.add_reaction([("temp",stress_temp),("prot",1)], [], [("mfp",1),("prot",1)])
r.add_reaction([("prot",1)], [("temp",stress_temp)], [("prot",1)])
r.add_reaction([("hsp",1),("mfp",1)], [], [("hsp:mfp",1)])
r.add_reaction([("mfp",1)], [("hsp",1)], [("mfp",1)])
r.add_reaction([("hsp:mfp",1)], [], [("hsp",1),("prot",1)])
r.add_reaction_inc("temp", "heat", [("temp",1)],[("temp",max_temp)])
r.add_reaction_dec("temp", "cool", [("temp",1)],[])
r.add_permanency("temp",[("heat",1),("cool",1)])
#r.add_permanency("temp",[])
c = ContextAutomatonWithConcentrations(r)
c.add_init_state("0")
c.add_state("1")
# c.add_transition("0", [("prot",1), ("temp",35)], "1")
c.add_transition("0", [("hsf",1),("prot",1),("hse",1),("temp",35)], "1")
#-> c.add_transition("0", [("hse",1),("prot",1),("hsp:hsf",1),("temp",stress_temp)], "1")
# c.add_transition("0", [("hsp",1),("prot",1),("hsf3:hse",1),("mfp",1),("hsp:mfp",1),("temp",30)], "1")
c.add_transition("1", [("cool",1)], "1")
c.add_transition("1", [("heat",1)], "1")
c.add_transition("1", [], "1")
# c.add_transition("1", [("sugar",1)], "1")
rc = ReactionSystemWithAutomaton(r,c)
if print_system:
rc.show()
# prop_req = [("hsp:hsf",1),("hse",1),("prot",1)]
# prop_block = [("temp",stress_temp)]
prop_req = [ ("mfp",1) ]
prop_block = [ ]
prop = (prop_req,prop_block)
rs_prop = (state_translate_rsc2rs(prop_req),state_translate_rsc2rs(prop_block))
if verify_rsc:
smt_rsc = SmtCheckerRSC(rc)
smt_rsc.check_reachability(prop,max_level=40)
else:
orc = rc.get_ordinary_reaction_system_with_automaton()
if print_system:
print("\nTranslated:")
orc.show()
smt_tr_rs = SmtCheckerRS(orc)
smt_tr_rs.check_reachability(rs_prop)
def state_translate_rsc2rs(p):
return [e[0] + "#" + str(e[1]) for e in p]
# EOF

1197
reactics-smt/rs_testing.py Normal file

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from logics import *
# SHORTCUTS
def bag_True():
return BagDescription.f_TRUE()
def bag_entity(name):
return BagDescription.f_entity(name)
def get_bag_if_str(arg):
if isinstance(arg, str):
return bag_entity(arg) > 0
else:
return arg
def bag_Not(a0):
a0 = get_bag_if_str(a0)
return BagDescription.f_Not(a0)
def bag_And(*args):
assert len(args) > 1
last = get_bag_if_str(args[0])
for arg in args[1:]:
last = BagDescription.f_And(
last, get_bag_if_str(arg))
return last
def exact_state(contained_entities, all_entities):
"""
Assumes 0 concentration level for all the
not listed entities but present in all_entities
"""
expr = []
for ent_str in all_entities:
ent = bag_entity(ent_str)
if ent_str in contained_entities:
expr.append(ent > 0)
else:
expr.append(ent == 0)
if len(expr) > 0:
last = expr[0]
for e in expr[1:]:
last = BagDescription.f_And(last, e)
return last
else:
assert False
def ltl_F(ctx_arg, a0):
a0 = get_bag_if_str(a0)
return Formula_rsLTL.f_F(ctx_arg, a0)
def ltl_G(ctx_arg, a0):
a0 = get_bag_if_str(a0)
return Formula_rsLTL.f_G(ctx_arg, a0)
def ltl_X(ctx_arg, a0):
a0 = get_bag_if_str(a0)
return Formula_rsLTL.f_X(ctx_arg, a0)
def ltl_U(ctx_arg, a0, a1):
a0 = get_bag_if_str(a0)
a1 = get_bag_if_str(a1)
return Formula_rsLTL.f_U(ctx_arg, a0, a1)
def ltl_And(*args):
assert len(args) > 1
last = get_bag_if_str(args[0])
for arg in args[1:]:
last = Formula_rsLTL.f_And(last, get_bag_if_str(arg))
return last
def ltl_Not(a0):
a0 = get_bag_if_str(a0)
return Formula_rsLTL.f_Not(a0)
def ltl_Implies(a0, a1):
a0 = get_bag_if_str(a0)
a1 = get_bag_if_str(a1)
return Formula_rsLTL.f_Implies(a0, a1)
def param_entity(param, entity_name):
return ParamConstraint.f_param_ent(param, entity_name)
def param_And(*args):
assert len(args) > 1
last = args[0]
for arg in args[1:]:
last = ParamConstraint.f_And(last, arg)
return last

81
reactics-smt/rssmt.py Executable file
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#!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
Reaction Systems SMT-Based Model Checking Module
"""
import argparse
from rs import *
from smt import *
import sys
import rs_examples
import rs_testing
from colour import *
profiling = False
if profiling:
import resource
##################################################################
version = "2.99"
rsmc_banner = """
Reaction Systems SMT-Based Model Checking
Version: """ + version + """
Author: Artur Meski <artur.meski@gmail.com>
"""
##################################################################
def print_banner():
print()
for line in rsmc_banner.split("\n"):
print(colour_str(C_GREEN, " " + 3 * "-" + " "), line)
print()
##################################################################
def main():
"""Main function"""
parser = argparse.ArgumentParser()
parser.add_argument("-v", "--verbose",
help="turn verbosity on", action="store_true")
parser.add_argument("-o", "--optimise",
help="minimise the parametric computation result",
action="store_true")
parser.add_argument(
"-n", "--scaling-parameter",
help="scaling parameter value (used in some benchmarks)")
parser.add_argument("-s", "--special_mode",
help="special mode (used in some benchmarks)")
args = parser.parse_args()
print_banner()
rs_testing.run_tests(args)
##################################################################
if __name__ == "__main__":
try:
if profiling:
import profile
profile.run('main()')
else:
main()
except KeyboardInterrupt:
print("\nQuitting...")
sys.exit(99)
# EOF

69
reactics-smt/scripts/avg.py Executable file
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#!/usr/bin/env python
import sys
from os import listdir
def proc_files(files):
fs = []
for f in files:
try:
fs.append(open(f, "r"))
except Exception as exct:
print("Failed to read file {:s}".format(f))
sys.exit(1)
done = False
result = []
while not done:
index = "NONE"
val_sum = 0
for f in fs:
try:
line = f.__next__()
except Exception:
done = True
break
sline = line.split()
assert(len(sline) == 2)
index, value = sline
value = float(value)
val_sum += value
# print(sline)
else:
val_avg = val_sum/len(fs)
result.append("{:s}\t{:f}".format(index, val_avg))
result.append("")
return result
def proc_dirs(dirs):
first_dir = dirs[0]
for f in listdir(first_dir):
avg_out = proc_files(["{:s}/{:s}".format(d, f) for d in dirs])
with open(f, "w") as outfile:
outfile.write("\n".join(avg_out))
def main():
proc_dirs(sys.argv[1:])
# proc_files(sys.argv[1:])
if __name__ == "__main__":
main()

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@@ -0,0 +1,8 @@
#!/bin/sh
if [ "$1" = "" ];then
echo "Usage: $0 <input file>"
exit 1
fi
f="$1"
cat $f | tr -d '()' | tr ',' '\t'

7
reactics-smt/scripts/run.sh Executable file
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#!/bin/sh
for i in 2 3 4 5 6 7 8 9 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100;
do
./rssmt.py $i | tee "out/result_$i.out"
echo "$i: $(tail -1 out/result_$i.out)" >> out/all.out
done

24
reactics-smt/scripts/run_3d.sh Executable file
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#!/bin/sh
# sudo systemsetup -getcomputersleep
sudo systemsetup -setcomputersleep Never
# sudo systemsetup -setcomputersleep 1
for i in `seq 2 2 20`
do
#./rssmt.py $i | tee "out/result_$i.out"
#echo "$i: $(tail -1 out/result_$i.out)" >> out/all.out
echo $i
for j in `seq 2 2 20`
do
echo $i $j
for t in 1 0
do
./rssmt.py $i $j $t
done
done
done

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@@ -0,0 +1,21 @@
#!/bin/sh
# sudo systemsetup -getcomputersleep
#sudo systemsetup -setcomputersleep Never
# sudo systemsetup -setcomputersleep 1
for i in `seq 2 50`
do
for special_mode in 1 2 3
do
echo "$i (sm=${special_mode})"
if [[ $special_mode -eq 1 ]]
then
./rssmt.py -n $i -s $special_mode
./rssmt.py -o -n $i -s $special_mode
else
./rssmt.py -n $i -s $special_mode
fi
done
done

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@@ -0,0 +1,34 @@
#!/bin/sh
# sudo systemsetup -getcomputersleep
sudo systemsetup -setcomputersleep Never
# sudo systemsetup -setcomputersleep 1
formula=1
for i in `seq 2 50`
do
echo $i
./rssmt.py $i 2 $formula
done
formula=2
for i in `seq 2 50`
do
echo $i
./rssmt.py $i 2 $formula
done
formula=3
for i in `seq 2 50`
do
echo $i
./rssmt.py $i 2 $formula
done
formula=4
for i in `seq 2 50`
do
echo $i
./rssmt.py $i 2 $formula
done

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#from smt.smt_checker import SmtChecker
from smt.smt_checker_rs import SmtCheckerRS
from smt.smt_checker_rsc import SmtCheckerRSC
from smt.smt_checker_rsc_param import SmtCheckerRSCParam

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"""
SMT-based Model Checking Module for RS with Context Automaton
"""
from z3 import *
from time import time
from sys import stdout
import resource
class SmtCheckerRS(object):
def __init__(self, rsca):
rsca.sanity_check()
self.rs = rsca.rs
self.ca = rsca.ca
self.v = []
self.v_ctx = []
self.ca_state = []
self.next_level_to_encode = 0
self.solver = Solver()
self.verification_time = None
def prepare_all_variables(self):
"""Encodes all the variables"""
self.prepare_state_variables()
self.prepare_context_variables()
self.next_level_to_encode += 1
def prepare_context_variables(self):
"""Encodes all the context variables"""
level = self.next_level_to_encode
variables = []
for entity in self.rs.background_set:
variables.append(Bool("C"+str(level)+"_"+entity))
self.v_ctx.append(variables)
def prepare_rs_state_variables(self):
"""Encodes all the state variables of the reaction system"""
level = self.next_level_to_encode
variables = []
for entity in self.rs.background_set:
variables.append(Bool("L"+str(level)+"_"+entity))
self.v.append(variables)
def prepare_context_controller_variables(self):
"""Encodes all the variables required for controlling context sequences"""
level = self.next_level_to_encode
self.ca_state.append(Int("CA"+str(level)+"_state"))
def prepare_state_variables(self):
"""Encodes all the state variables"""
self.prepare_rs_state_variables()
self.prepare_context_controller_variables()
def enc_rs_init_state(self, level):
"""Encodes the initial state for the reaction system"""
rs_init_state_enc = True
for v in self.v[level]:
# the initial state is empty
rs_init_state_enc = simplify(And(rs_init_state_enc, Not(v)))
return rs_init_state_enc
def enc_context_controller_init_state(self, level):
"""Encodes the initial state for controlling context sequences"""
return self.ca_state[level] == self.ca.get_init_state_id()
def enc_init_state(self, level):
"""Encodes the initial state at the given level"""
init_state_enc = simplify(And(self.enc_rs_init_state(
level), self.enc_context_controller_init_state(level)))
return init_state_enc
def enc_enabledness(self, level, prod_entity):
"""Encodes the enabledness condition for a given level and a given entity"""
rcts_for_prod_entity = self.rs.get_reactions_by_product()[prod_entity]
if rcts_for_prod_entity == []:
return False
enc_rct_prod = False
for reactants, inhibitors in rcts_for_prod_entity:
enc_reactants = True
enc_inhibitors = True
for reactant in reactants:
enc_reactants = simplify(And(enc_reactants, Or(
self.v[level][reactant], self.v_ctx[level][reactant])))
for inhibitor in inhibitors:
enc_inhibitors = simplify(And(enc_inhibitors, Not(
Or(self.v[level][inhibitor], self.v_ctx[level][inhibitor]))))
enc_rct_prod = simplify(
Or(enc_rct_prod, And(enc_reactants, enc_inhibitors)))
return enc_rct_prod
def enc_entity_production(self, level, prod_entity):
"""Encodes the production of a given entity from a given level at level+1"""
enc_enab_cond = self.enc_enabledness(level, prod_entity)
enc_ent_prod = Or(
And(enc_enab_cond, self.v[level + 1][prod_entity]),
And(Not(enc_enab_cond),
Not(self.v[level + 1][prod_entity])))
return simplify(enc_ent_prod)
def enc_transition_relation(self, level):
"""Encodes the combined transition relation"""
return simplify(
And(self.enc_rs_trans(level),
self.enc_automaton_trans(level)))
def enc_rs_trans(self, level):
"""Encodes the transition relation"""
unused_entities = list(range(len(self.rs.background_set)))
enc_trans = True
for prod_entity in self.rs.get_reactions_by_product():
unused_entities.remove(prod_entity)
enc_trans = simplify(
And(enc_trans, self.enc_entity_production(level, prod_entity)))
for prod_entity in unused_entities:
enc_trans = simplify(
And(enc_trans, Not(self.v[level+1][prod_entity])))
return enc_trans
def enc_automaton_single_trans(self, level, transition):
src, ctx, dst = transition
src_enc = self.ca_state[level] == src
dst_enc = self.ca_state[level+1] == dst
all_ent = set(range(len(self.rs.background_set)))
incl_ctx = ctx
excl_ctx = all_ent - incl_ctx
ctx_enc = True
for c in incl_ctx:
ctx_enc = simplify(And(ctx_enc, self.v_ctx[level][c]))
for c in excl_ctx:
ctx_enc = simplify(And(ctx_enc, Not(self.v_ctx[level][c])))
enc_single_trans = simplify(And(src_enc, ctx_enc, dst_enc))
return enc_single_trans
def enc_automaton_trans(self, level):
"""Encodes the transition relation for the context automaton"""
enc_trans = False
for transition in self.ca.transitions:
enc_trans = simplify(
Or(enc_trans, self.enc_automaton_single_trans(level, transition)))
return enc_trans
def enc_state(self, level, state):
"""Encodes the state at the given level"""
enc = True
state_ids = self.rs.get_state_ids(state)
for entity in state_ids:
enc = And(enc, self.v[level][entity])
not_in_state = set(range(len(self.rs.background_set)))
not_in_state = not_in_state.difference(set(state_ids))
for entity in not_in_state:
enc = And(enc, Not(self.v[level][entity]))
return enc
def enc_non_exclusive_state(self, level, state):
"""Encodes the state at the given level"""
enc = True
state_ids = self.rs.get_state_ids(state)
for entity in state_ids:
enc = And(enc, self.v[level][entity])
return enc
def enc_state_with_blocking(self, level, prop):
"""Encodes the state at the given level with blocking certain concentrations"""
required, blocked = prop
enc = True
required_ids = self.rs.get_state_ids(required)
blocked_ids = self.rs.get_state_ids(blocked)
for e in required_ids:
enc = And(enc, self.v[level][e])
for e in blocked_ids:
enc = And(enc, Not(self.v[level][e]))
return simplify(enc)
def decode_witness(self, max_level, print_model=False):
m = self.solver.model()
if print_model:
print(m)
for level in range(max_level+1):
print("\n[Level=" + repr(level) + "]")
print(" State: {", end=""),
for var_id in range(len(self.v[level])):
if repr(m[self.v[level][var_id]]) == "True":
print(" " + self.rs.get_entity_name(var_id), end="")
print(" }")
if level != max_level:
print(" Context set: ", end="")
print("{", end="")
for var_id in range(len(self.v[level])):
if repr(m[self.v_ctx[level][var_id]]) == "True":
print(" " + self.rs.get_entity_name(var_id), end="")
print(" }")
def check_reachability(
self, state, print_witness=True, print_time=True, print_mem=True):
"""Main testing function"""
if not type(state) is tuple:
state = (state, [])
if print_time:
# start = time()
start = resource.getrusage(resource.RUSAGE_SELF).ru_utime
self.prepare_all_variables()
self.solver.add(self.enc_init_state(0))
current_level = 0
while True:
print("-----[ Working at level=" + str(current_level) + " ]-----")
stdout.flush()
self.prepare_all_variables()
# reachability test:
print("[i] Adding the reachability test...")
self.solver.push()
self.solver.add(self.enc_state_with_blocking(current_level, state))
result = self.solver.check()
if result == sat:
print("\n[+] SAT at level=" + str(current_level))
if print_witness:
self.decode_witness(current_level)
break
else:
self.solver.pop()
print("[i] Unrolling the transition relation")
self.solver.add(self.enc_transition_relation(current_level))
print("-----[ level=" + str(current_level) + " done ]")
current_level += 1
if print_time:
# stop = time()
stop = resource.getrusage(resource.RUSAGE_SELF).ru_utime
self.verification_time = stop-start
print()
print("[i] Time: " + repr(self.verification_time))
if print_mem:
print(
"[i] Memory: " +
repr(
resource.getrusage(resource.RUSAGE_SELF).ru_maxrss /
(1024 * 1024)) + " MB")
def get_verification_time(self):
return self.verification_time

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@@ -0,0 +1,670 @@
"""
SMT-based Model Checking Module for RS with Concentrations and Context Automaton
"""
from z3 import *
from time import time
from sys import stdout
from itertools import chain
import resource
from colour import *
from logics import rsLTL_Encoder
# def simplify(x):
# return x
class SmtCheckerRSC(object):
def __init__(self, rsca):
rsca.sanity_check()
if not rsca.is_with_concentrations():
raise RuntimeError("RS and CA with concentrations expected")
self.rs = rsca.rs
self.ca = rsca.ca
self.initialise()
def initialise(self):
"""Initialises all the variables used by the checker"""
self.v = []
self.v_ctx = []
self.ca_state = []
self.next_level_to_encode = 0
self.loop_position = Int("loop_position")
self.solver = Solver() # For("QF_FD")
self.verification_time = None
def reset(self):
"""Reinitialises the state of the checker"""
self.initialise()
def prepare_all_variables(self):
"""Encodes all the variables"""
self.prepare_state_variables()
self.prepare_context_variables()
self.next_level_to_encode += 1
def prepare_context_variables(self):
"""Encodes all the context variables"""
level = self.next_level_to_encode
variables = []
for entity in self.rs.background_set:
variables.append(Int("C"+str(level)+"_"+entity))
self.v_ctx.append(variables)
def prepare_state_variables(self):
"""Encodes all the state variables"""
level = self.next_level_to_encode
variables = []
for entity in self.rs.background_set:
variables.append(Int("L"+str(level)+"_"+entity))
self.v.append(variables)
self.ca_state.append(Int("CA"+str(level)+"_state"))
def enc_concentration_levels_assertion(self, level):
"""Encodes assertions that (some) variables need to be >0
We do not need to actually control all the variables,
only those that can possibly go below 0.
"""
enc_nz = True
for e_i in range(len(self.rs.background_set)):
v = self.v[level][e_i]
v_ctx = self.v_ctx[level][e_i]
e_max = self.rs.get_max_concentration_level(e_i)
enc_nz = simplify(
And(enc_nz, v >= 0, v_ctx >= 0, v <= e_max, v_ctx <= e_max))
return enc_nz
def enc_init_state(self, level):
"""Encodes the initial state at the given level"""
rs_init_state_enc = True
for v in self.v[level]:
# the initial concentration levels are zeroed
rs_init_state_enc = simplify(And(rs_init_state_enc, v == 0))
ca_init_state_enc = self.ca_state[level] == self.ca.get_init_state_id()
init_state_enc = simplify(And(rs_init_state_enc, ca_init_state_enc))
return init_state_enc
def enc_produced_concentration(self, level, prod_entity):
"""Encodes the produced concentrations for the given level and entity"""
rcts_for_prod_entity = []
if prod_entity in self.rs.get_reactions_by_product():
rcts_for_prod_entity = self.rs.get_reactions_by_product()[
prod_entity]
meta_reactions = []
if prod_entity in self.rs.meta_reactions:
meta_reactions = self.rs.meta_reactions[prod_entity]
permanency_inhibition = None
if prod_entity in self.rs.permanent_entities:
permanency_inhibition = self.rs.permanent_entities[prod_entity]
if rcts_for_prod_entity == [] and meta_reactions == []:
# this should never happen
return simplify(self.v[level+1][prod_entity] == 0)
enc_enabledness = False
# ----------- ordinary reactions --------------------------------------------
enc_rct_prod = False
enc_ordinary_reactions_enabledness = False
for reactants, inhibitors, products in rcts_for_prod_entity:
enc_reactants = True
for reactant, concentration in reactants:
enc_reactants = simplify(And(enc_reactants, Or(
self.v[level][reactant] >= concentration, self.v_ctx[level][reactant] >= concentration)))
enc_inhibitors = True
for inhibitor, concentration in inhibitors:
enc_inhibitors = simplify(And(enc_inhibitors, And(
self.v[level][inhibitor] < concentration, self.v_ctx[level][inhibitor] < concentration)))
enc_rct_enabled = And(enc_reactants, enc_inhibitors)
enc_products = self.v[level+1][products[0][0]] == products[0][1]
enc_rct_prod = simplify(
If(enc_rct_enabled, enc_products, enc_rct_prod))
enc_enabledness = simplify(Or(enc_enabledness, enc_rct_enabled))
enc_ordinary_reactions_enabledness = simplify(
Or(enc_ordinary_reactions_enabledness, enc_rct_enabled))
# -------- meta reactions ---------------------------------------------------
for r_type, command_entity, reactants, inhibitors in meta_reactions:
# command entity is e.g. 'inc' for incrementation operation
# (inc,W) gives us the value W by which the given entity's value should be incremented
enc_reactants = True
enc_inhibitors = True
for reactant, concentration in reactants:
enc_reactants = simplify(And(enc_reactants, Or(
self.v[level][reactant] >= concentration, self.v_ctx[level][reactant] >= concentration)))
# command entity needs to be present (with concentration level > 0) in order to perform the operation
enc_reactants = simplify(And(enc_reactants, Or(
self.v[level][command_entity] > 0, self.v_ctx[level][command_entity] > 0)))
for inhibitor, concentration in inhibitors:
enc_inhibitors = simplify(And(enc_inhibitors, And(
self.v[level][inhibitor] < concentration, self.v_ctx[level][inhibitor] < concentration)))
if r_type == "inc":
value_after_inc = If(
self.v[level][prod_entity] > self.v_ctx[level]
[prod_entity],
self.v[level][prod_entity],
self.v_ctx[level][prod_entity]) + If(
self.v[level][command_entity] > self.
v_ctx[level][command_entity],
self.v[level][command_entity],
self.v_ctx[level][command_entity])
enc_products = self.v[level+1][prod_entity] == value_after_inc
elif r_type == "dec":
value_after_dec = simplify(
If(
self.v[level][prod_entity] >
self.v_ctx[level]
[prod_entity],
self.v[level][prod_entity],
self.v_ctx[level]
[prod_entity]) -
If(
self.v[level]
[command_entity] > self.
v_ctx[level][command_entity],
self.v[level]
[command_entity],
self.v_ctx[level]
[command_entity]))
enc_products = self.v[level+1][prod_entity] == If(
value_after_dec < 0, 0, value_after_dec)
else:
raise RuntimeError(
"Unknown meta-reaction type: " + repr(r_type))
enc_meta_reaction_enabledness = And(
enc_reactants, enc_inhibitors,
Not(enc_ordinary_reactions_enabledness))
enc_enabledness = simplify(
Or(enc_enabledness, enc_meta_reaction_enabledness))
enc_rct_prod = simplify(Or(enc_rct_prod, And(
enc_meta_reaction_enabledness, enc_products)))
# -----------------------------------------------------------------------------
if not permanency_inhibition == None:
enc_reactants = Or(self.v[level][prod_entity] >= concentration,
self.v_ctx[level][prod_entity] >= concentration)
enc_inhibitors = True
for inhibitor, concentration in permanency_inhibition:
enc_inhibitors = simplify(And(enc_inhibitors, And(
self.v[level][inhibitor] < concentration, self.v_ctx[level][inhibitor] < concentration)))
enc_products = simplify(
self.v[level + 1][prod_entity] ==
If(
self.v[level][prod_entity] > self.v_ctx[level]
[prod_entity],
self.v[level][prod_entity],
self.v_ctx[level][prod_entity]))
enc_permanency_enabledness = And(
enc_reactants, enc_inhibitors,
Not(enc_ordinary_reactions_enabledness))
enc_enabledness = simplify(
Or(enc_enabledness, enc_permanency_enabledness))
enc_permanency = And(enc_permanency_enabledness, enc_products)
enc_rct_prod = simplify(Or(enc_rct_prod, enc_permanency))
# -----------------------------------------------------------------------------
enc_when_to_produce_zero_conc = simplify(
And(Not(enc_enabledness), self.v[level+1][prod_entity] == 0))
enc_rct_prod = Or(enc_rct_prod, enc_when_to_produce_zero_conc)
return enc_rct_prod
def enc_transition_relation(self, level):
return simplify(
And(self.enc_rs_trans(level),
self.enc_automaton_trans(level)))
def enc_rs_trans(self, level):
"""Encodes the transition relation"""
unused_entities = set(range(len(self.rs.background_set)))
enc_trans = True
reactions = self.rs.get_reactions_by_product()
meta_reactions = self.rs.meta_reactions
for prod_entity in chain(reactions, meta_reactions):
unused_entities.discard(prod_entity)
enc_trans = simplify(
And(enc_trans, self.enc_produced_concentration(level, prod_entity)))
for prod_entity in unused_entities:
enc_trans = simplify(
And(enc_trans, self.v[level+1][prod_entity] == 0))
return enc_trans
def enc_automaton_trans(self, level):
"""Encodes the transition relation for the context automaton"""
enc_trans = False
for src, ctx, dst in self.ca.transitions:
src_enc = self.ca_state[level] == src
dst_enc = self.ca_state[level+1] == dst
all_ent = set(range(len(self.rs.background_set)))
incl_ctx = set([e for e, c in ctx])
excl_ctx = all_ent - incl_ctx
ctx_enc = True
for e, c in ctx:
ctx_enc = simplify(And(ctx_enc, self.v_ctx[level][e] == c))
for e in excl_ctx:
ctx_enc = simplify(And(ctx_enc, self.v_ctx[level][e] == 0))
cur_trans = simplify(And(src_enc, ctx_enc, dst_enc))
enc_trans = simplify(Or(enc_trans, cur_trans))
return enc_trans
def enc_exact_state(self, level, state):
"""Encodes the state at the given level with the exact concentration values"""
raise RuntimeError("Should not be used with RSC")
def enc_min_state(self, level, state):
"""Encodes the state at the given level with the minimal required concentration levels"""
enc = True
for ent, conc in state:
e_id = self.rs.get_entity_id(ent)
enc = And(enc, self.v[level][e_id] >= conc)
return simplify(enc)
def enc_state_with_blocking(self, level, prop):
"""Encodes the state at the given level with blocking certain concentrations"""
required, blocked = prop
enc = True
for ent, conc in required:
e_id = self.rs.get_entity_id(ent)
enc = And(enc, self.v[level][e_id] >= conc)
for ent, conc in blocked:
e_id = self.rs.get_entity_id(ent)
enc = And(enc, self.v[level][e_id] < conc)
return simplify(enc)
def decode_witness(self, max_level, print_model=False):
m = self.solver.model()
if print_model:
print(m)
for level in range(max_level+1):
print("\n{: >70}".format("[ level=" + repr(level) + " ]"))
print(" State: {", end=""),
for var_id in range(len(self.v[level])):
var_rep = repr(m[self.v[level][var_id]])
if not var_rep.isdigit():
raise RuntimeError(
"unexpected: representation is not a positive integer")
if int(var_rep) > 0:
print(
" " + self.rs.get_entity_name(var_id) + "=" + var_rep,
end="")
# print(" " + repr(m[self.v[level][var_id]]), end="")
print(" }")
if level != max_level:
print(" Context set: ", end="")
print("{", end="")
for var_id in range(len(self.v[level])):
var_rep = repr(m[self.v_ctx[level][var_id]])
if not var_rep.isdigit():
raise RuntimeError(
"unexpected: representation is not a positive integer")
if int(var_rep) > 0:
print(
" " + self.rs.get_entity_name(var_id) + "=" + var_rep,
end="")
print(" }")
def check_rsltl(
self, formula, print_witness=True, print_time=True, print_mem=True,
max_level=None):
"""Bounded Model Checking for rsLTL properties"""
self.reset()
print("[" + colour_str(C_BOLD, "i") +
"] Running rsLTL bounded model checking")
print("[" + colour_str(C_BOLD, "i") + "] Formula: " + str(formula))
if print_time:
# start = time()
start = resource.getrusage(resource.RUSAGE_SELF).ru_utime
self.prepare_all_variables()
self.solver.add(self.enc_init_state(0))
self.current_level = 0
self.prepare_all_variables()
self.solver.add(self.enc_concentration_levels_assertion(0))
encoder = rsLTL_Encoder(self)
encoder.load_variables(
var_rs=self.v,
var_ctx=self.v_ctx,
var_loop_pos=self.loop_position)
while True:
self.prepare_all_variables()
self.solver.add(
self.enc_concentration_levels_assertion(
self.current_level + 1))
print(
"\n{:-^70}".format("[ Working at level=" + str(self.current_level) + " ]"))
stdout.flush()
# reachability test:
self.solver.push()
print("[" + colour_str(C_BOLD, "i") +
"] Generating the formula encoding...")
f = encoder.get_encoding(formula, self.current_level)
ncalls = encoder.get_ncalls()
print("[" + colour_str(C_BOLD, "i") + "] Cache hits: " +
str(encoder.get_cache_hits()) + ", encode calls: " +
str(ncalls[0]) + " (approx: " + str(ncalls[1]) + ")")
print("[" + colour_str(C_BOLD, "i") +
"] Adding the formula to the solver...")
encoder.flush_cache()
self.solver.add(f)
print("[" + colour_str(C_BOLD, "i") +
"] Adding the loops encoding...")
self.solver.add(self.get_loop_encodings())
result = self.solver.check()
if result == sat:
print(
"[" + colour_str(C_BOLD, "+") + "] " +
colour_str(
C_GREEN, "SAT at level=" + str(self.current_level)))
if print_witness:
print("\n{:=^70}".format("[ WITNESS ]"))
self.decode_witness(self.current_level)
break
else:
self.solver.pop()
print("[" + colour_str(C_BOLD, "i") +
"] Unrolling the transition relation")
self.solver.add(self.enc_transition_relation(self.current_level))
print(
"{:->70}".format("[ level=" + str(self.current_level) + " done ]"))
self.current_level += 1
if not max_level is None and self.current_level > max_level:
print("Stopping at level=" + str(max_level))
break
if print_time:
# stop = time()
stop = resource.getrusage(resource.RUSAGE_SELF).ru_utime
self.verification_time = stop-start
print()
print(
"\n[i] {: >60}".format(
" Time: " + repr(self.verification_time) + " s"))
if print_mem:
print(
"[i] {: >60}".format(
" Memory: " +
repr(
resource.getrusage(resource.RUSAGE_SELF).ru_maxrss /
(1024 * 1024)) + " MB"))
def dummy_unroll(self, levels):
"""Unrolls the variables for testing purposes"""
self.current_level = -1
for i in range(levels+1):
self.prepare_all_variables()
self.current_level += 1
print(C_MARK_INFO + " Dummy Unrolling done.")
def state_equality(self, level_A, level_B):
"""Encodes equality of two states at two different levels"""
eq_enc = True
for e_i in range(len(self.rs.background_set)):
e_i_equality = self.v[level_A][e_i] == self.v[level_B][e_i]
eq_enc = simplify(And(eq_enc, e_i_equality))
eq_enc_ctxaut = self.ca_state[level_A] == self.ca_state[level_B]
eq_enc = simplify(And(eq_enc, eq_enc_ctxaut))
return eq_enc
def get_loop_encodings(self):
k = self.current_level
loop_var = self.loop_position
loop_enc = True
"""
(loop_var == i) means that there is a loop taking back to the state (i-1)
Therefore, the encoding starts at 1, not at 0.
"""
for i in range(1, k+1):
loop_enc = simplify(And(loop_enc, Implies(
loop_var == i, self.state_equality(i-1, k))))
return loop_enc
def check_reachability(self, state, print_witness=True,
print_time=True, print_mem=True, max_level=1000):
"""Main testing function"""
self.reset()
if print_time:
# start = time()
start = resource.getrusage(resource.RUSAGE_SELF).ru_utime
self.prepare_all_variables()
self.solver.add(self.enc_init_state(0))
self.current_level = 0
self.prepare_all_variables()
self.solver.add(self.enc_concentration_levels_assertion(0))
while True:
self.prepare_all_variables()
self.solver.add(
self.enc_concentration_levels_assertion(
self.current_level + 1))
print(
"\n{:-^70}".format("[ Working at level=" + str(self.current_level) + " ]"))
stdout.flush()
# reachability test:
print("[" + colour_str(C_BOLD, "i") +
"] Adding the reachability test...")
self.solver.push()
self.solver.add(self.enc_state_with_blocking(
self.current_level, state))
result = self.solver.check()
if result == sat:
print(
"[" + colour_str(C_BOLD, "+") + "] " +
colour_str(
C_GREEN, "SAT at level=" + str(self.current_level)))
if print_witness:
print("\n{:=^70}".format("[ WITNESS ]"))
self.decode_witness(self.current_level)
break
else:
self.solver.pop()
print("[" + colour_str(C_BOLD, "i") +
"] Unrolling the transition relation")
self.solver.add(self.enc_transition_relation(self.current_level))
print(
"{:->70}".format("[ level=" + str(self.current_level) + " done ]"))
self.current_level += 1
if self.current_level > max_level:
print("Stopping at level=" + str(max_level))
break
if print_time:
# stop = time()
stop = resource.getrusage(resource.RUSAGE_SELF).ru_utime
self.verification_time = stop-start
print()
print(
"\n[i] {: >60}".format(
" Time: " + repr(self.verification_time) + " s"))
if print_mem:
print(
"[i] {: >60}".format(
" Memory: " +
repr(
resource.getrusage(resource.RUSAGE_SELF).ru_maxrss /
(1024 * 1024)) + " MB"))
def get_verification_time(self):
return self.verification_time
def show_encoding(self, state, print_witness=True,
print_time=False, print_mem=False, max_level=100):
"""Encoding debug function"""
self.reset()
self.prepare_all_variables()
init_s = self.enc_init_state(0)
print(init_s)
self.solver.add(init_s)
self.current_level = 0
self.prepare_all_variables()
while True:
self.prepare_all_variables()
print(
"-----[ Working at level=" + str(self.current_level) + " ]-----")
stdout.flush()
# reachability test:
print("[i] Adding the reachability test...")
self.solver.push()
s = self.enc_min_state(self.current_level, state)
print("Test: ", s)
self.solver.add(s)
result = self.solver.check()
if result == sat:
print(
"\n[+] " +
colour_str(
C_RED, "SAT at level=" + str(self.current_level)))
if print_witness:
self.decode_witness(self.current_level)
break
else:
self.solver.pop()
print("[i] Unrolling the transition relation")
t = self.enc_transition_relation(self.current_level)
print(t)
self.solver.add(t)
print("-----[ level=" + str(self.current_level) + " done ]")
self.current_level += 1
if self.current_level > max_level:
print("Stopping at level=" + str(max_level))
break
else:
x = input("Next level? ")
x = x.lower()
if not (x == "y" or x == "yes"):
break

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