| cache_dirs[p_ino] = mkdir(m, md, # links(p_ino, cache_dirs), m1, entries), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), dent0.name ∈ entries, p_ino ∈ cache_dirs, ¬ dentrykey(p_ino, dent0.name) ∈ cache_dcache, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(p_ino, cache_dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟨dent := mkdentry(dent0.name, entries[dent0.name]); err := ESUCCESS⟩ (mkdentry(dent0.name, entries[dent0.name]) = dent ∧ ESUCCESS = err), ⟨fail#(; ; err)⟩ (mkdentry(dent0.name, entries[dent0.name]) = dent0 ∧ ESUCCESS = err) |
cache_dirs[p_ino] = mkdir(m, md, # links(p_ino, cache_dirs), m1, entries), afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), p_ino ∈ cache_dirs, dent0.name ∈ entries, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(p_ino, cache_dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟨err := ESUCCESS⟩ (mkdentry(dent0.name, entries[dent0.name]) = mkdentry(dent0.name, entries[dent0.name]) ∧ ESUCCESS = err), ⟨fail#(; ; err)⟩ (mkdentry(dent0.name, entries[dent0.name]) = dent0 ∧ ESUCCESS = err), dentrykey(p_ino, dent0.name) ∈ cache_dcache