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Theorem flitpscStep

⊦ flitpscStep(mkstate(gs, lsf, pcf), a, mkstate(gs0, lsf0, pcf0)) ↔ (∃ t, ls, pc. lstep(gs, lsf(t), pcf(t), a, gs0, ls, pc) ∧ lsf0 = lsf(t := ls) ∧ pcf0 = pcf(t := pc)) ∨ (∃ l. a = globalPSCPERSIST_W(l) ∧ firstPersistW(gs.p(l)) < # gs.p(l) ∧ gs0 = (gs.mem:= gs.mem(l := gs.p(l)[firstPersistW(gs.p(l))].val)).p:= gs.p(l := gs.p(l) -p firstPersistW(gs.p(l))) ∧ lsf0 = lsf ∧ pcf0 = pcf) ∨ (∃ l. a = globalPSCPERSIST_FO(l) ∧ (∃ n. isPersistFO(n, gs.p(l))) ∧ ⟨p := gs.p; PSCPERSIST_FO(l; p); gs.p := p⟩ (gs0 = gs ∧ lsf0 = lsf ∧ pcf0 = pcf)) ∨ a = globalPSCCRASH ∧ ⟨p := gs.p, ctr := gs.ctr, writers := gs.writers, readers := gs.readers; PSCCRASH(; p, ctr, writers, readers, pcf); gs := (((gs.p:= p).ctr:= ctr).writers:= writers).readers:= readers⟩ (gs0 = gs ∧ lsf0 = lsf ∧ pcf0 = pcf)