[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 14 from proof inv-write_inode (previous step)

afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), asynced → synced(files, icache, pcache), asynced ∨ boolvar, m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar ⊦ [afs_write_inode#(mkinode(m, md, boolvar, m0, m1, m2); err, dirs, files; asynced1)] ( afs-cons(dirs, files) → ⟪asynced0 := false; inode := mkinode(m, md, boolvar, m0, m1, m2); asynced3 := false; if err = ESUCCESS then icache_get#(inode.ino, icache; asynced3, inode1, err); if err = ESUCCESS ∧ asynced3 then {inode1.meta := inode.meta; if ¬ inode.directory then inode1.size := inode.size; icache_set#(inode1, asynced0; err, icache)} else if asynced0 then err := EFAIL⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ 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 15:
inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), asynced2 → synced(files, icache, pcache), m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar, asynced2 ∨ boolvar ⊦ [if pre-write-inode(inode, dirs, files) then { {if inode.directory then dirs[inode.ino].meta := inode.meta else {files[inode.ino].meta := inode.meta; files[inode.ino].size := inode.size}; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort] ( afs-cons(dirs, files) → ⟪asynced0 := false; inode := mkinode(m, md, boolvar, m0, m1, m2); asynced3 := false; if err = ESUCCESS then icache_get#(inode.ino, icache; asynced3, inode1, err); if err = ESUCCESS ∧ asynced3 then {inode1.meta := inode.meta; if ¬ inode.directory then inode1.size := inode.size; icache_set#(inode1, asynced0; err, icache)} else if asynced0 then err := EFAIL⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache))))

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_write_inode#(INODE; ERR, DIRS, FILES; ASYNCED) {if pre-write-inode(INODE, DIRS, FILES) then { {if INODE.directory then DIRS[INODE.ino].meta := INODE.meta else {FILES[INODE.ino].meta := INODE.meta; FILES[INODE.ino].size := INODE.size}; ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ?} else abort };