[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 73 from proof fsync-dirs (previous step)

asynced ↔ false, dirs0[m3] = mkdir(m4, md1, m5, m6, entries), files0[m] = mkfile(m0, md0, m1, content), icache[m] = mkientry(true, mkinode(m3, md, true, m5, m6, m4)), err = ESUCCESS, ino = m, m ∈ icache, m ∈ files0, m3 ∈ dirs0, m2 ≤ n * VFS_PAGE_SIZE ⊦ [if ino ∈ icache then icache[ino].dirty := asynced else err := EFAIL; dirs := dirs0[m3, mkdir(m4, md, m5, m6, entries)]; if err = ESUCCESS then afs_fsync#(mkinode(m3, md, true, m5, m6, m4), false, dirs, files; ; asynced2, err)] (dirs = dirs0)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 74:
asynced ↔ false, icache[m] = mkientry(true, mkinode(m3, md, true, m5, m6, m4)), files0[m] = mkfile(m0, md0, m1, content), dirs0[m3] = mkdir(m4, md1, m5, m6, entries), err = ESUCCESS, ino = m, m3 ∈ dirs0, m ∈ files0, m ∈ icache, m2 ≤ n * VFS_PAGE_SIZE ⊦ [icache[ino].dirty := asynced; dirs := dirs0[m3, mkdir(m4, md, m5, m6, entries)]; if err = ESUCCESS then afs_fsync#(mkinode(m3, md, true, m5, m6, m4), false, dirs, files; ; asynced2, err)] (dirs = dirs0)

Rule argument

pos: right 1

Proof step 73 from proof fsync-dirs (previous step)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Rule argument

Additional information