| dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, # entries), strings = strings1, strings0 = strings, root.dir?, root[path].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [strings0 := dom dirs[inode.ino].entries; err := ESUCCESS] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err0)⟩ ((psynced → asynced) ∧ strings0 = strings1 ∧ err = err0) |
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, # entries), strings = strings1, strings0 = strings, root[path].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [err := ESUCCESS] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err0)⟩ ((psynced → asynced) ∧ dom dirs[inode.ino].entries = strings1 ∧ err = err0)