[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 8 from proof inv-commit (previous step)

# buf = EB_PAGE_SIZE, # lpt0 = # avol, # lpt = # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ ⟪apersistence_io_commit#(lpt0, adr0, m0, avol; ns0, adr, m, plog, lpt, ns; err); if err ≠ ESUCCESS then rofs := true⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ # lpt = # avol)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 9:
# lpt = # avol, # lpt0 = # avol, # buf = EB_PAGE_SIZE, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs) ⊦ ⟪if # lpt0 = # avol then {fail_or_success#(; ; err); if err = ESUCCESS then {adr := adr0; m := m0; plog := []; lpt := lpt0; ns := ns0}; ns0 := ?} else abort; if err ≠ ESUCCESS then rofs := true⟫ ((bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs)) ∧ # lpt = # avol)

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_io_commit# (LPT, PROOTADR0, PMAXINO0, PVOL ; ORPHANS, PROOTADR, PMAXINO, PLOG, PLPT, PORPHANS ; ERR ) {if # LPT = # PVOL then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then {PROOTADR := PROOTADR0; PMAXINO := PMAXINO0; PLOG := []; PLPT := LPT; PORPHANS := ORPHANS}; ORPHANS := ?} else abort };