[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 211 from proof inv-mkdir (previous step)

dirs[m] = mkdir(m0, md, # links(m, dirs), m2, entries0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, ⌊err0⌋ , asynced1 → synced(files, icache, pcache), links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ [err := err0; asynced := ?] ⟪if err = ESUCCESS then let asynced = false in {icache_set#(mkinode(m, md0, true, # links(m, dirs), m2, m0), asynced; err, icache); icache_set#(c_inode, asynced; err, icache); dcache_set#(m, str, negdentry(str); err, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))), str ∈ entries0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 212:
dirs[m] = mkdir(m0, md, # links(m, dirs), m2, entries0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ dirs, ⌊err0⌋ , asynced1 → synced(files, icache, pcache), links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ [asynced := ?] ⟪if err0 = ESUCCESS then let asynced = false in {icache_set#(mkinode(m, md0, true, # links(m, dirs), m2, m0), asynced; err0, icache); icache_set#(c_inode, asynced; err0, icache); dcache_set#(m, str, negdentry(str); err0, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))), str ∈ entries0

Proof step 211 from proof inv-mkdir (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information