| root[q].dir? ↔ ino1 ∈ dirs, dent = negdentry((q + str ').last), err = ESUCCESS, err1 = ESUCCESS, err2 = err1, ino = ino1, inode = getinode(ino, dirs, files), root.dir?, inode.directory, 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), pre-iget(ino, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), psynced → asynced, ¬ px(user, inode.meta) ∨ ¬ pw(user, inode.meta) ⊦ [err1 := EACCESS; 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); err0, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)), q + str ' = ε |
root[q].dir? ↔ ino1 ∈ dirs, dent = negdentry((q + str ').last), err = ESUCCESS, err1 = EACCESS, err2 = err3, err3 = ESUCCESS, ino = ino1, inode = getinode(ino, dirs, files), root.dir?, inode.directory, 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), pre-iget(ino, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), psynced → asynced, ¬ px(user, inode.meta) ∨ ¬ pw(user, inode.meta) ⊦ [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); err0, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)), q + str ' = ε