| # links(ino1, dirs0) = m0, dirs0[ino1] = mkdir(# entries0, md1, # links(ino1, dirs0), m1, entries0), dent = negdentry(str), err = ESUCCESS, fs = abs-files(files), p_ino = ino1, root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs0), afs-cons(dirs0, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs0, files), of-cons(of, dirs0, files), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs0, files), ino1 ∈ dirs0, dirs ≡ dirs1[p_ino, dirs1[p_ino].size:= (dirs1[p_ino].size + 1)], dirs1 ≡ dirs0[p_ino, dirs0[p_ino].entries:= dirs0[p_ino].entries[dent.name, ino]], psynced → asynced0, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [files := (files ++ ino)[ino, mkfile(0, md, 1, ∅)]; dent := mkdentry(dent.name, ino); err := ESUCCESS; afs_inode_sync#(mkinode(ino1, md1, true, m0, m1, # entries0); dirs, files); inode := (ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); c_inode := getinode(dent.ino, dirs, files); asynced := ?] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err2)), ino = 0, str ∈ entries0, ino ∈ files, ino ∈ dirs0 |
# links(ino1, dirs0) = m0, dirs0[ino1] = mkdir(# entries0, md1, # links(ino1, dirs0), m1, entries0), dent = negdentry(str), err = ESUCCESS, files = (files0 ++ ino)[ino, mkfile(0, md, 1, ∅)], fs = abs-files(files0), p_ino = ino1, root[q].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs0), afs-cons(dirs0, files0), fids-cons(root, abs-files(files0), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs0, files0), of-cons(of, dirs0, files0), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs0, files0), ino1 ∈ dirs0, dirs1 ≡ dirs0[p_ino, dirs0[p_ino].entries:= dirs0[p_ino].entries[dent.name, ino]], dirs ≡ dirs1[p_ino, dirs1[p_ino].size:= (dirs1[p_ino].size + 1)], psynced → asynced0, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [dent := mkdentry(dent.name, ino); err := ESUCCESS; afs_inode_sync#(mkinode(ino1, md1, true, m0, m1, # entries0); dirs, files); inode := (ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); c_inode := getinode(dent.ino, dirs, files); asynced := ?] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err2)), ino = 0, ino ∈ dirs0, ino ∈ files0, str ∈ entries0