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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 eventfuns with
constants
xosc : bool; comment: output step consistency.;
xlrf : bool; comment: locally-respects forwards.;
validx : bool; comment: eqrel is an equivalence relation on C, and Cs are related only to other Cs.;
functions
view : event → viewstate;
predicates
eqrel : event × event;
eqstate : state × state;
axioms
eqstate-reflexive : ⊦ ∀ s. eqstate(s, s);
validx-def
: ⊦
validx
↔ (∀ ev. view(ev) = C → eqrel(ev, ev)) ∧ (∀ ev, ev0. view(ev) = C ∧ view(ev0) = C ∧ eqrel(ev, ev0) → eqrel(ev0, ev))
∧ (∀ ev, ev0, ev1. view(ev) = C ∧ view(ev0) = C ∧ view(ev1) = C ∧ eqrel(ev, ev0) ∧ eqrel(ev0, ev1) → eqrel(ev, ev1))
∧ (∀ ev, ev0. view(ev) = C ∧ eqrel(ev, ev0) → view(ev0) = C) ∧ (∀ ev, ev0. view(ev0) = C ∧ eqrel(ev, ev0) → view(ev) = C);
comment: eqrel is an equivalence relation on C, and Cs are related only to other Cs.;
xosc-def
: ⊦
xosc
↔ (∀ s1, s11, s22.
∀ ev.
view(ev) ≠ C ∧ reachable(s1) ∧ reachable(s11) ∧ trans(s11, ev, s22) ∧ eqstate(s11, s1)
→ (∃ s2. ∃ tr. proj(tr, Cview(view)) = [] ∧ proj(tr, Vview(view)) = proj(ev ', Vview(view)) ∧ trans∃(s1, tr, s2) ∧ eqstate(s22, s2)));
xlrf-def
: ⊦
xlrf
↔ (∀ s, s0, s1.
∀ ev, ev0.
view(ev) = C ∧ view(ev0) = C ∧ eqrel(ev, ev0) ∧ reachable(s) ∧ trans(s, ev, s0) ∧ eqstate(s, s1) ∧ reachable(s1)
→ (∃ s2. trans(s1, ev0, s2) ∧ eqstate(s0, s2)));
end enrich