| asynced ↔ false, cache_dirs[m1] = mkdir(m0, md1, # links(m1, cache_dirs), m4, entries), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, icache = cache_icache, inode = mkinode(m1, md2, true, # links(m1, cache_dirs), m4, m0 + 1), 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), m1 ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m1, cache_dirs) ≠ ∅ ∨ m1 = ROOT_INO ⊦ ⟪icache[inode.ino] := mkientry(asynced, inode); icache_set# (getinode (mkdentry(str, ino0).ino, cache_dirs[m1, (m1 ∈ cache_dirs ⊃ mkdir(m0 + 1, md1, # links(m1, cache_dirs), m4, entries[str, ino0]);cache_dirs[m1]).meta:= md2], (cache_files ++ ino0)[ino0, mkfile(0, md, 1, ∅)]), false ; err, icache); dcache_set#(m1, str, mkdentry(str, ino0); err, cache_dcache)⟫ ⟨dent0 := negdentry(str); p_inode0 := mkinode(m1, md2, true, # links(m1, cache_dirs), m4, m0); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; afs_create#(md; p_inode0, p_inode1, dent0, err0, cache_dirs, afs_files; afs_asynced)⟩ ( cache_dirs = cache_dirs2[m1, (m1 ∈ cache_dirs2 ⊃ mkdir(m0 + 1, md1, # links(m1, cache_dirs2), m4, entries[str, ino0]);cache_dirs2[m1]).meta:= md2] ∧ afs_files = ((cache_files ++ ino0)[ino0, mkfile(0, md, 1, ∅)] ⊕ cache_pcache) ⊕ icache ∧ (afs_asynced ↔ asynced0) ∧ (m1 ∈ cache_dirs2 ⊃ mkinode(m1, md2, true, # links(m1, cache_dirs2), m4, m0 + 1) ;mkinode (m1, (m1 = ino0 ⊃ mkfile(0, md, 1, ∅);(cache_files ++ ino0)[m1]).meta, false, (m1 = ino0 ⊃ mkfile(0, md, 1, ∅);(cache_files ++ ino0)[m1]).nlink, 0, (m1 = ino0 ⊃ mkfile(0, md, 1, ∅);(cache_files ++ ino0)[m1]).size) ) = p_inode0 ∧ (ino0 ∈ cache_dirs3 ⊃ mkinode (ino0, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).meta, true, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).nlink, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).nsubdirs, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).size) ;mkinode(ino0, md, false, 1, 0, 0) ) = p_inode1 ∧ mkdentry(str, ino0) = dent0 ∧ err = err0), ino0 = 0, str ∈ entries, ino0 ∈ cache_files, ino0 ∈ cache_dirs |
asynced ↔ false, cache_dirs[m1] = mkdir(m0, md1, # links(m1, cache_dirs), m4, entries), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, icache = icache0[inode.ino, mkientry(asynced, inode)], icache0 = cache_icache, inode = mkinode(m1, md2, true, # links(m1, cache_dirs), m4, m0 + 1), 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), m1 ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m1, cache_dirs) ≠ ∅ ∨ m1 = ROOT_INO ⊦ ⟪icache_set# (getinode (mkdentry(str, ino0).ino, cache_dirs[m1, (m1 ∈ cache_dirs ⊃ mkdir(m0 + 1, md1, # links(m1, cache_dirs), m4, entries[str, ino0]);cache_dirs[m1]).meta:= md2], (cache_files ++ ino0)[ino0, mkfile(0, md, 1, ∅)]), false ; err, icache); dcache_set#(m1, str, mkdentry(str, ino0); err, cache_dcache)⟫ ⟨dent0 := negdentry(str); p_inode0 := mkinode(m1, md2, true, # links(m1, cache_dirs), m4, m0); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; afs_create#(md; p_inode0, p_inode1, dent0, err0, cache_dirs, afs_files; afs_asynced)⟩ ( cache_dirs = cache_dirs2[m1, (m1 ∈ cache_dirs2 ⊃ mkdir(m0 + 1, md1, # links(m1, cache_dirs2), m4, entries[str, ino0]);cache_dirs2[m1]).meta:= md2] ∧ afs_files = ((cache_files ++ ino0)[ino0, mkfile(0, md, 1, ∅)] ⊕ cache_pcache) ⊕ icache ∧ (afs_asynced ↔ asynced0) ∧ (m1 ∈ cache_dirs2 ⊃ mkinode(m1, md2, true, # links(m1, cache_dirs2), m4, m0 + 1) ;mkinode (m1, (m1 = ino0 ⊃ mkfile(0, md, 1, ∅);(cache_files ++ ino0)[m1]).meta, false, (m1 = ino0 ⊃ mkfile(0, md, 1, ∅);(cache_files ++ ino0)[m1]).nlink, 0, (m1 = ino0 ⊃ mkfile(0, md, 1, ∅);(cache_files ++ ino0)[m1]).size) ) = p_inode0 ∧ (ino0 ∈ cache_dirs3 ⊃ mkinode (ino0, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).meta, true, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).nlink, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).nsubdirs, (ino0 = m1 ⊃ mkdir(m0 + 1, md2, # links(m1, cache_dirs3), m4, entries[str, m1]);cache_dirs3[ino0]).size) ;mkinode(ino0, md, false, 1, 0, 0) ) = p_inode1 ∧ mkdentry(str, ino0) = dent0 ∧ err = err0), ino0 = 0, ino0 ∈ cache_dirs, ino0 ∈ cache_files, str ∈ entries