parametric example
This commit is contained in:
Artur Meski
178
rs_testing.py
178
rs_testing.py
@@ -12,71 +12,100 @@ def run_tests():
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# heat_shock_response()
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# scalable_chain(print_system=True)
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# example44()
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example44_param()
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# example44_param()
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trivial_param()
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def example44_param():
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def trivial_param():
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r = ReactionSystemWithConcentrationsParam()
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r.add_bg_set_entity(("x",2))
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r.add_bg_set_entity(("y",4))
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r.add_bg_set_entity(("h",2))
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r.add_bg_set_entity(("m",1))
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r.add_bg_set_entity(("x", 3))
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r.add_bg_set_entity(("y", 3))
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r.add_bg_set_entity(("c", 3))
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r.add_bg_set_entity(("z", 3))
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r.add_bg_set_entity(("final", 1))
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r.add_reaction([("y",1),("x",1)], [("y",2),("h",1)], [("y",2)])
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r.add_reaction([("y",2),("x",2)], [("y",3),("h",1)], [("y",3)])
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r.add_reaction([("y",3),("h",1)], [("y",4),("h",2)], [("y",4)])
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r.add_reaction([("y",4),("h",1)], [("h",2)], [("y",3)])
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r.add_reaction([("y",4),("x",2)], [("h",1)], [("y",2)])
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r.add_reaction([("m",1)], [("y",3)], [("m",1)])
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r.add_reaction([("x", 1)], [("c", 1)], [("y", 2)])
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r.add_reaction([("y", 1)], [("c", 1)], [("z", 1)])
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r.add_reaction([("z", 1)], [("c", 1)], [("final", 1)])
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c = ContextAutomatonWithConcentrations(r)
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c.add_init_state("0")
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c.add_state("1")
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c.add_transition("0", [("y",1),("m",1),("x",1)], "1")
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c.add_transition("1", [("x",1)], "1")
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c.add_transition("1", [("x",1),("h",1)], "1")
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c.add_transition("1", [("x",2)], "1")
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c.add_transition("1", [("x",2),("h",1)], "1")
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c.add_transition("1", [("h",1)], "1")
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c.add_transition("0", [("x", 1)], "1")
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c.add_transition("1", [], "1")
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rc = ReactionSystemWithAutomaton(r, c)
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rc.show()
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smt_rsc = SmtCheckerRSCParam(rc)
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f2 = Formula_rsLTL.f_F(
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BagDescription.f_TRUE(),
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BagDescription.f_entity("final") >= 1)
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smt_rsc.check_rsltl(formula=f2)
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rc = ReactionSystemWithAutomaton(r,c)
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def example44_param():
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r = ReactionSystemWithConcentrationsParam()
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r.add_bg_set_entity(("x", 2))
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r.add_bg_set_entity(("y", 4))
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r.add_bg_set_entity(("h", 2))
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r.add_bg_set_entity(("m", 1))
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r.add_reaction([("y", 1), ("x", 1)], [("y", 2), ("h", 1)], [("y", 2)])
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r.add_reaction([("y", 2), ("x", 2)], [("y", 3), ("h", 1)], [("y", 3)])
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r.add_reaction([("y", 3), ("h", 1)], [("y", 4), ("h", 2)], [("y", 4)])
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r.add_reaction([("y", 4), ("h", 1)], [("h", 2)], [("y", 3)])
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r.add_reaction([("y", 4), ("x", 2)], [("h", 1)], [("y", 2)])
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r.add_reaction([("m", 1)], [("y", 3)], [("m", 1)])
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c = ContextAutomatonWithConcentrations(r)
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c.add_init_state("0")
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c.add_state("1")
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c.add_transition("0", [("y", 1), ("m", 1), ("x", 1)], "1")
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c.add_transition("1", [("x", 1)], "1")
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c.add_transition("1", [("x", 1), ("h", 1)], "1")
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c.add_transition("1", [("x", 2)], "1")
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c.add_transition("1", [("x", 2), ("h", 1)], "1")
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c.add_transition("1", [("h", 1)], "1")
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rc = ReactionSystemWithAutomaton(r, c)
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rc.show()
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smt_rsc = SmtCheckerRSCParam(rc)
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# Universal property which seems to be true: (holds also existentially)
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f1 = Formula_rsLTL.f_G(BagDescription.f_entity("x") > 0,
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Formula_rsLTL.f_Implies(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") >= 3
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)
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Formula_rsLTL.f_Implies(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") >= 3
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)
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)
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)
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# lets see if we can find a counterexample to this property:
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neg_f1 = Formula_rsLTL.f_F(BagDescription.f_entity("x") > 0,
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Formula_rsLTL.f_And(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") < 3
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)
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Formula_rsLTL.f_And(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") < 3
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)
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)
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)
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# we fix the property f1
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# this one holds:
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f2 = Formula_rsLTL.f_G(BagDescription.f_entity("x") > 0,
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Formula_rsLTL.f_Implies(
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f2 = Formula_rsLTL.f_G(
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BagDescription.f_entity("x") > 0, Formula_rsLTL.f_Implies(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1) & (BagDescription.f_entity("h") < 1),
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BagDescription.f_entity("y") >= 3
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)
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)
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)
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(BagDescription.f_entity("x") > 1) &
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(BagDescription.f_entity("h") < 1),
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BagDescription.f_entity("y") >= 3)))
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# neg_f1 = Formula_rsLTL.f_X(BagDescription.f_TRUE(), Formula_rsLTL.f_F(BagDescription.f_entity("x") > 0,
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# Formula_rsLTL.f_And(
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@@ -92,69 +121,67 @@ def example44_param():
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# ))
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smt_rsc.check_rsltl(formula=neg_f1)
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def example44():
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r = ReactionSystemWithConcentrations()
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r.add_bg_set_entity(("x",2))
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r.add_bg_set_entity(("y",4))
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r.add_bg_set_entity(("h",2))
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r.add_bg_set_entity(("m",1))
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r.add_bg_set_entity(("x", 2))
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r.add_bg_set_entity(("y", 4))
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r.add_bg_set_entity(("h", 2))
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r.add_bg_set_entity(("m", 1))
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r.add_reaction([("y",1),("x",1)], [("y",2),("h",1)], [("y",2)])
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r.add_reaction([("y",2),("x",2)], [("y",3),("h",1)], [("y",3)])
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r.add_reaction([("y",3),("h",1)], [("y",4),("h",2)], [("y",4)])
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r.add_reaction([("y",4),("h",1)], [("h",2)], [("y",3)])
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r.add_reaction([("y",4),("x",2)], [("h",1)], [("y",2)])
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r.add_reaction([("m",1)], [("y",3)], [("m",1)])
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r.add_reaction([("y", 1), ("x", 1)], [("y", 2), ("h", 1)], [("y", 2)])
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r.add_reaction([("y", 2), ("x", 2)], [("y", 3), ("h", 1)], [("y", 3)])
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r.add_reaction([("y", 3), ("h", 1)], [("y", 4), ("h", 2)], [("y", 4)])
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r.add_reaction([("y", 4), ("h", 1)], [("h", 2)], [("y", 3)])
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r.add_reaction([("y", 4), ("x", 2)], [("h", 1)], [("y", 2)])
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r.add_reaction([("m", 1)], [("y", 3)], [("m", 1)])
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c = ContextAutomatonWithConcentrations(r)
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c.add_init_state("0")
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c.add_state("1")
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c.add_transition("0", [("y",1),("m",1),("x",1)], "1")
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c.add_transition("1", [("x",1)], "1")
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c.add_transition("1", [("x",1),("h",1)], "1")
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c.add_transition("1", [("x",2)], "1")
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c.add_transition("1", [("x",2),("h",1)], "1")
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c.add_transition("1", [("h",1)], "1")
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c.add_transition("0", [("y", 1), ("m", 1), ("x", 1)], "1")
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c.add_transition("1", [("x", 1)], "1")
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c.add_transition("1", [("x", 1), ("h", 1)], "1")
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c.add_transition("1", [("x", 2)], "1")
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c.add_transition("1", [("x", 2), ("h", 1)], "1")
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c.add_transition("1", [("h", 1)], "1")
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rc = ReactionSystemWithAutomaton(r,c)
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rc = ReactionSystemWithAutomaton(r, c)
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rc.show()
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smt_rsc = SmtCheckerRSC(rc)
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# Universal property which seems to be true: (holds also existentially)
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f1 = Formula_rsLTL.f_G(BagDescription.f_entity("x") > 0,
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Formula_rsLTL.f_Implies(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") >= 3
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)
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Formula_rsLTL.f_Implies(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") >= 3
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)
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)
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)
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# lets see if we can find a counterexample to this property:
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neg_f1 = Formula_rsLTL.f_F(BagDescription.f_entity("x") > 0,
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Formula_rsLTL.f_And(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") < 3
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)
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Formula_rsLTL.f_And(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1),
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BagDescription.f_entity("y") < 3
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)
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)
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)
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# we fix the property f1
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# this one holds:
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f2 = Formula_rsLTL.f_G(BagDescription.f_entity("x") > 0,
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Formula_rsLTL.f_Implies(
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f2 = Formula_rsLTL.f_G(
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BagDescription.f_entity("x") > 0, Formula_rsLTL.f_Implies(
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(BagDescription.f_entity('y') == 2),
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Formula_rsLTL.f_X(
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(BagDescription.f_entity("x") > 1) & (BagDescription.f_entity("h") < 1),
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BagDescription.f_entity("y") >= 3
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)
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)
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)
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(BagDescription.f_entity("x") > 1) &
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(BagDescription.f_entity("h") < 1),
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BagDescription.f_entity("y") >= 3)))
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# neg_f1 = Formula_rsLTL.f_X(BagDescription.f_TRUE(), Formula_rsLTL.f_F(BagDescription.f_entity("x") > 0,
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# Formula_rsLTL.f_And(
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@@ -170,6 +197,7 @@ def example44():
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# ))
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smt_rsc.check_rsltl(formula=neg_f1)
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def heat_shock_response(print_system=True):
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stress_temp = 42
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