| root[path].dir? ↔ ino0 ∈ dirs, isdir ↔ false, err = err1, err1 = ESUCCESS, ino = ino0, root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ [inode := getinode(ino, dirs, files); err := ESUCCESS; if err = ESUCCESS then if ¬(inode.directory ↔ isdir) then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if (mode = MODE_R ∨ mode = MODE_RW) ∧ ¬ pr(user, inode.meta) ∨ (mode = MODE_W ∨ mode = MODE_RW) ∧ ¬ pw(user, inode.meta) then err := EACCESS; ofh := abs-of(of); fd := ino1; err1 := err; if err1 = ESUCCESS then {of[ino2] := mkfile(ino0, mode, 0); fd := ino2; ino2 := ino2 + 1}] ( of-cons(of, dirs, files) ∧ dom of < ino2 → ⟨posix_open#(path, mode, user, root, abs-files(files); ino1, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err1 = err0)) |
isdir ↔ false, root[path].dir? ↔ ino0 ∈ dirs, err = err1, err1 = ESUCCESS, ino = ino0, root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ [err := ESUCCESS; if err = ESUCCESS then if ¬(getinode(ino, dirs, files).directory ↔ isdir) then err := (getinode(ino, dirs, files).directory ⊃ EISDIR;ENOTDIR) else if (mode = MODE_R ∨ mode = MODE_RW) ∧ ¬ pr(user, getinode(ino, dirs, files).meta) ∨ (mode = MODE_W ∨ mode = MODE_RW) ∧ ¬ pw(user, getinode(ino, dirs, files).meta) then err := EACCESS; ofh := abs-of(of); fd := ino1; err1 := err; if err1 = ESUCCESS then {of[ino2] := mkfile(ino0, mode, 0); fd := ino2; ino2 := ino2 + 1}] ( of-cons(of, dirs, files) ∧ dom of < ino2 → ⟨posix_open#(path, mode, user, root, abs-files(files); ino1, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino1 ∧ err1 = err0))