| ino = ROOT_INO, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ [vfs_walk#(p, user, dirs, files, asynced; ino, err)] ( ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p, ROOT_INO, ino, dirs, files) ∧ px-parent(user, p, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p ≠ ε ∧ (∃ p'. p' ⊑ parent(p) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files)) → ⟪if err = ESUCCESS then choose inode with true in {afs_iget#(ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if pr(user, inode.meta) then {md := inode.meta, ino0 := inode.size; if inode.directory then ino1 := inode.nsubdirs + 2 else ino1 := inode.nlink} else err := EACCESS}⟫ true) |
ino = ROOT_INO, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ ∀ ino, err. ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p, ROOT_INO, ino, dirs, files) ∧ px-parent(user, p, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p ≠ ε ∧ (∃ p'. p' ⊑ parent(p) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files)) → ⟪if err = ESUCCESS then choose inode with true in {afs_iget#(ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if pr(user, inode.meta) then {md := inode.meta, ino0 := inode.size; if inode.directory then ino1 := inode.nsubdirs + 2 else ino1 := inode.nlink} else err := EACCESS}⟫ true