| asynced ↔ bv, dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = err0, err2 = ESUCCESS, fs = abs-files(files), root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries, ino1 ∈ dirs, entries[str] ∈ files, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [skip] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_unlink#(q + str ', user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1)), err = ESUCCESS, root[q + str '].dir?, entries[str] ∈ dirs |
asynced ↔ bv, dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = err0, err2 = ESUCCESS, fs = abs-files(files), root[q].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), entries[str] ∈ files, ino1 ∈ dirs, str ∈ entries, psynced → asynced0, ⌊err0⌋ ∨ err0 = ESUCCESS, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨posix_unlink#(q + str ', user, abs-of(of); err1, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1), err = ESUCCESS, root[q + str '].dir?, entries[str] ∈ dirs