| # buf0 = # buf1, files[mkinode(m3, md, false, m2, 0, m1).ino].size = mkinode(m3, md, false, m2, 0, m1).size, files[m3] = mkfile(m1, md, m2, content), of[fd] = mkfile(m3, mode0, m4), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), read-inv(m4, m4 + n, mkinode(m3, md, false, m2, 0, m1), buf0, buf0, 0, dirs, files), read-inv(m4, m4 + n, buf0, buf1, 0, files[mkinode(m3, md, false, m2, 0, m1).ino].content), fd ∈ of, mkinode(m3, md, false, m2, 0, m1).ino ∈ files, n ≤ # buf0, m4 ≤ m1, m4 + 0 ≤ m4 + n, m4 + 0 ≤ mkinode(m3, md, false, m2, 0, m1).size, m4 + n - m4 ≤ # buf0, ⌊err1⌋ , psynced → asynced ⊦ buf1 = buf0, mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW |
# buf0 = # buf1, files[m3] = mkfile(m1, md, # links(m3, dirs), content), of[fd] = mkfile(m3, mode0, m4), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), read-inv(m4, m4 + n, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf0, 0, dirs, files), read-inv(m4, m4 + n, buf0, buf1, 0, content), fd ∈ of, m3 ∈ files, m4 ≤ m1, n ≤ # buf1, ⌊err1⌋ , psynced → asynced ⊦ buf1 = buf0, mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW
Used simplifier rules: ⊦ mkfile(m, md, m0, content).content = content; (s)% ⊦ mkfile(m, md, m0, content).size = m; (s)%afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base% ⊦ m ≤ m + n; (s)% ⊦ n + 0 = n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n - m = n; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)