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Proof step 2 from proof fsync-keep-abs (previous step)

files0 = (files ⊕ pcache) ⊕ icache, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache) ⊦ [cache_fsync#(inode, bv, bv0; dirs, files, icache, pcache, asynced; err)] (files0 = (files ⊕ pcache) ⊕ icache)

User applied rule call right

And obtained the following new goals

Proof step 3:
asynced1 ↔ bv, asynced0 ↔ bv0, files0 = (files ⊕ pcache) ⊕ icache, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache) ⊦ [if valid-file-inode(inode, dirs, files) then {err := ESUCCESS; if ¬ asynced0 then {cache_fsync-pages#(inode, dirs; err, files, pcache, asynced); if err = ESUCCESS ∧ ¬ asynced1 then cache_fsync-inode#(; inode, err, dirs, files, icache, asynced); if err = ESUCCESS then afs_fsync#(inode, asynced1, dirs, files; ; asynced, err)}} else abort] (files0 = (files ⊕ pcache) ⊕ icache)

Rule argument

pos: right 1

Additional information

Used simplifier rules: cache_fsync# (INODE, ISDATASYNC, SYNC; DIRS, FILES, ICACHE, PCACHE, ASYNCED; ERR) {if valid-file-inode(INODE, DIRS, FILES) then {ERR := ESUCCESS; if ¬ SYNC then {cache_fsync-pages# (INODE, DIRS; ERR, FILES, PCACHE, ASYNCED); if ERR = ESUCCESS ∧ ¬ ISDATASYNC then cache_fsync-inode# (; INODE, ERR, DIRS, FILES, ICACHE, ASYNCED); if ERR = ESUCCESS then afs_fsync# (INODE, ISDATASYNC, DIRS, FILES; ; ASYNCED, ERR)}} else abort };