| dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err0 = EACCESS, root.dir?, root[q].dir?, 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), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ ⟨if err0 = ESUCCESS then let fid = root[q + str '].fid in root[path'] := fnode(fid); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0), path' = ε, px(user, md) |
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err0 = EACCESS, root[q].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(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ ⟨skip; psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0), path' = ε, px(user, md)
Used simplifier rules: ⊦ ESUCCESS ≠ EACCESS; (s)