| root[q].dir? ↔ ino1 ∈ dirs, err = err0, err1 = err, 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 err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); fs := abs-files(files); if err1 = ESUCCESS then {dent := negdentry((q + str ').last); afs_create#(md; inode, c_inode, dent, err1, dirs, files; asynced)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err2)) |
root[q].dir? ↔ ino1 ∈ dirs, err = err0, err1 = err, 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; fs := abs-files(files); if err1 = ESUCCESS then {dent := negdentry((q + str ').last); afs_create#(md; inode, c_inode, dent, err1, dirs, files; asynced)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err2))
Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)