[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 9 from proof inv-readpage (previous step)

# buf = VFS_PAGE_SIZE, ¬ asynced0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, asynced → synced(files, icache, pcache) ⊦ ⟪pcache_get#(m, pageno, pcache; asynced0, buf, err); if ¬ asynced0 ∨ err ≠ ESUCCESS then {afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, dirs, files, asynced1; buf, err); if err = ESUCCESS ∧ buf ≠ zeropage then let asynced = false in pcache_set#(m, pageno, buf, asynced; err, pcache)}⟫ (pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache)))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 10:
# buf = VFS_PAGE_SIZE, asynced ↔ asynced0, ¬ asynced0, ino = m, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, asynced2 → synced(files, icache, pcache) ⊦ ⟪let key = datakey(ino, pageno) in if key ∈ pcache then let pe = pcache[key] in {buf := pe.page; asynced := true} else asynced := false; err := ESUCCESS; if ¬ asynced ∨ err ≠ ESUCCESS then {afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), pageno, dirs, files, asynced1; buf, err); if err = ESUCCESS ∧ buf ≠ zeropage then let asynced = false in pcache_set#(m, pageno, buf, asynced; err, pcache)}⟫ (pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Rule argument

pos: right 1

Additional information

Used simplifier rules: pcache_get#(INO, PAGENO, PCACHE; HIT, BUF, ERR) {let KEY = datakey(INO, PAGENO) in if KEY ∈ PCACHE then let PE = PCACHE[KEY] in {BUF := PE.page; HIT := true} else HIT := false; ERR := ESUCCESS };