| isdir1 ↔ true, root[q].dir? ↔ ino1 ∈ dirs, isdir ↔ true, isdir0 ↔ isdir, dent = negdentry(str), err = err0, 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), px-parent(user, q, ROOT_INO, dirs, files), ⌊err0⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ [if isdir1 ∧ ¬ isdir0 then err := ENOTDIR; if ¬ isdir1 ∧ isdir0 then err := EISDIR; err1 := err; if err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); fs := abs-files(files); if err1 = ESUCCESS then {afs_rmdir#(; inode, p_inode, dent, err1, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err1, dirs, files)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_rmdir#(q + str ', user, fs, abs-of(of); err2, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err2)) |
isdir0 ↔ isdir, isdir ↔ true, root[q].dir? ↔ ino1 ∈ dirs, isdir1 ↔ true, dent = negdentry(str), err = err0, 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), px-parent(user, q, ROOT_INO, dirs, files), ⌊err0⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ [skip; if ¬ isdir1 ∧ isdir0 then err := EISDIR; err1 := err; if err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); fs := abs-files(files); if err1 = ESUCCESS then {afs_rmdir#(; inode, p_inode, dent, err1, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err1, dirs, files)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_rmdir#(q + str ', user, fs, abs-of(of); err2, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err2))