| err = ESUCCESS, mode = MODE_R, afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p0, ROOT_INO, ino0, dirs, files) ∧ px-parent(user, p0, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p0, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p0 ≠ ε ∧ p' ⊑ parent(p0) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪isdir := true; choose inode with true in {vfs_may_open#(ino0, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)}⟫ true |
isdir ↔ true, err = ESUCCESS, mode = MODE_R, afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p0, ROOT_INO, ino0, dirs, files) ∧ px-parent(user, p0, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p0, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p0 ≠ ε ∧ p' ⊑ parent(p0) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪choose inode with true in {vfs_may_open#(ino0, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)}⟫ true