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