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View the specification.
View theorem base summary,
View theorem base listing,
the used properties by spec,
the dependency list,
the symbol table,
enrich
state,
nat
with
predicates Init : state;
Inv : state;
R1 : state × state;
G1 : state × state;
Pre1 : state × state;
Post1 : state × state;
Runs1 : state;
R2 : state × state;
G2 : state × state;
Pre2 : state × state;
Post2 : state × state;
Runs2 : state;
procedures Proc1 : state nonfunctional nondeterministic;
Proc2 : state nonfunctional nondeterministic;
variables N : nat flexible;
axioms init-ex : ⊦ ∃ s. Init(s);
init-pre-inv : ⊦ Init(s) → Pre1(s, s) ∧ Pre2(s, s) ∧ Inv(s);
pre1-stable-r1 : ⊦ Pre1(s, s0) ∧ R1(s0, s1) → (¬ Pre1(s, s1) ↔ false);
used for: s, ls;
pre2-stable-r2 : ⊦ Pre2(s, s0) ∧ R2(s0, s1) → (¬ Pre2(s, s1) ↔ false);
used for: s, ls;
post1-stable-r1 : ⊦ Post1(s, s0) ∧ R1(s0, s1) → (¬ Post1(s, s1) ↔ false);
used for: s, ls;
post2-stable-r2 : ⊦ Post2(s, s0) ∧ R2(s0, s1) → (¬ Post2(s, s1) ↔ false);
used for: s, ls;
g1-r2 : ⊦ G1(s, s0) → (¬ R2(s, s0) ↔ false);
used for: s, ls;
g2-r1 : ⊦ G2(s, s0) → (¬ R1(s, s0) ↔ false);
used for: s, ls;
r1-refl : ⊦ R1(s, s);
used for: s, ls;
r2-refl : ⊦ R2(s, s);
used for: s, ls;
r1-trans : ⊦ R1(s, s0) ∧ R1(s0, s1) → (¬ R1(s, s1) ↔ false);
used for: s, ls;
r2-trans : ⊦ R2(s, s0) ∧ R2(s0, s1) → (¬ R2(s, s1) ↔ false);
used for: s, ls;
inv-runs : ⊦ Inv(s) → Runs1(s) ∨ Runs2(s);
post1-runs2 : ⊦ Post1(s, s0) → (¬ Runs2(s0) ↔ false);
used for: s, ls;
post2-runs1 : ⊦ Post2(s, s0) → (¬ Runs1(s0) ↔ false);
used for: s, ls;
proc1-rg-totalcorr : Pre1(s, S), Inv(S) ⊦ ⟨:S | R1(S', S''), (G1(S, S') ∧ (Runs1(S) → ¬ blocked)), Inv(S), Proc1(; S)⟩ Post1(s, S);
used for: tl;
proc2-rg-totalcorr : Pre2(s, S), Inv(S) ⊦ ⟨:S | R2(S', S''), (G2(S, S') ∧ (Runs2(S) → ¬ blocked)), Inv(S), Proc2(; S)⟩ Post2(s, S);
used for: tl;
end enrich