| dirs[ino2] = mkdir(m7, md4, # links(ino2, dirs), m12, entries2), entries1[str] = entries2[str], dirs[ino1] = mkdir(m5, md2, # links(ino1, dirs), m10, entries1), entries[str] = entries2[str], dirs[ino0] = mkdir(m2, md1, # links(ino0, dirs), m8, entries), entries0[str] = entries2[str], files[entries2[str]] = mkfile(m0, md6, # links(entries2[str], dirs), content0), dirs[m] = mkdir(m1, md5, # links(m, dirs), m9, entries3), dirs[ino] = mkdir(m4, md3, # links(ino, dirs), m6, entries0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), str ∈ entries2, ino2 ∈ dirs, str ∈ entries1, ino1 ∈ dirs, str ∈ entries, ino0 ∈ dirs, ino ∈ dirs, str ∈ entries0, m ∈ dirs, entries2[str] ∈ files, ⌊err0⌋ , asynced1 → synced(files, icache, pcache), links(ino2, dirs) ≠ ∅ ∨ ino2 = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ [asynced := ?] ⟪if err0 = ESUCCESS then let asynced = false in {icache_set#(mkinode(m, md, true, # links(m, dirs), m9, m1), asynced; err0, icache); icache_set#(mkinode(entries1[str], md0, false, # links(entries1[str], dirs), 0, m3), asynced; err0, icache); dcache_set#(m, str0, negdentry(str0); err0, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))), str0 ∈ entries3 |
dirs[ino] = mkdir(m4, md3, # links(ino, dirs), m6, entries0), dirs[m] = mkdir(m1, md5, # links(m, dirs), m9, entries3), files[entries2[str]] = mkfile(m0, md6, # links(entries2[str], dirs), content0), entries0[str] = entries2[str], dirs[ino0] = mkdir(m2, md1, # links(ino0, dirs), m8, entries), entries[str] = entries2[str], dirs[ino1] = mkdir(m5, md2, # links(ino1, dirs), m10, entries1), entries1[str] = entries2[str], dirs[ino2] = mkdir(m7, md4, # links(ino2, dirs), m12, entries2), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), entries2[str] ∈ files, m ∈ dirs, str ∈ entries0, ino ∈ dirs, ino0 ∈ dirs, str ∈ entries, ino1 ∈ dirs, str ∈ entries1, ino2 ∈ dirs, str ∈ entries2, ⌊err0⌋ , asynced1 → synced(files, icache, pcache), links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino2, dirs) ≠ ∅ ∨ ino2 = ROOT_INO ⊦ ⟪if err0 = ESUCCESS then let asynced = false in {icache_set#(mkinode(m, md, true, # links(m, dirs), m9, m1), asynced; err0, icache); icache_set#(mkinode(entries1[str], md0, false, # links(entries1[str], dirs), 0, m3), asynced; err0, icache); dcache_set#(m, str0, negdentry(str0); err0, dcache)}⟫ (icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))), str0 ∈ entries3