| dirs[entries0[str]] = mkdir(m0, md1, # links(entries0[str], dirs), m2, ∅), dirs[m] = mkdir(m1, md2, # links(m, dirs), m4, entries0), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), entries0[str] ∈ dirs, str ∈ entries0, 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(entries0[str], md0, true, # links(entries0[str], dirs), m2, m0), asynced; err, icache); icache_set#(mkinode(m, md, true, # links(m, dirs), m4, m1), asynced; err, icache); dcache_delete#(m, mkdentry(str, entries0[str]).name; err, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))), entries0[str] = ROOT_INO |
dirs[m] = mkdir(m1, md2, # links(m, dirs), m4, entries0), dirs[entries0[str]] = mkdir(m0, md1, # links(entries0[str], dirs), m2, ∅), 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, str ∈ entries0, entries0[str] ∈ 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(entries0[str], md0, true, # links(entries0[str], dirs), m2, m0), asynced; err0, icache); icache_set#(mkinode(m, md, true, # links(m, dirs), m4, m1), asynced; err0, icache); dcache_delete#(m, mkdentry(str, entries0[str]).name; err0, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache))), entries0[str] = ROOT_INO