| ⟨afs_truncate_internal#(n, pageno; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)⟩ (buf-opt = buf-opt0 ∧ inode = inode0 ∧ (isdir ↔ bv0) ∧ err = err0 ∧ dirs = dirs0 ∧ files = files0 ∧ (asynced ↔ asynced0)), isdir ↔ bv, files1[ino1] = mkfile(m, md0, # links(ino1, dirs), content), buf-opt = none, files = files1, ino = 0, ino0 = 0, inode = mkinode(ino1, md0, false, # links(ino1, dirs), 0, m), n = m, pageno = m / VFS_PAGE_SIZE, afs-cons(dirs0, files0), afs-cons(dirs, files1), pre-truncate(inode, n, pageno, buf-opt, dirs, files), files1 ~ files0, ino1 ∈ files1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ VFS_PAGE_SIZE = 0, (err0 = ESUCCESS ⊃ files0[ino1].content.stream from m = σ⊥ ∧ (n0 ≤ # buf → ino1 ∈ files0 ∧ files0[ino1].size = m) ∧ files1 -- ino1 = files0 -- ino1 ;⌊err0⌋ ) ∧ inode0 = mkinode(ino1, md0, false, # links(ino1, dirs), 0, m) |
⟨afs_truncate_internal#(n, pageno; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)⟩ ( inode = inode1 ∧ buf-opt = buf-opt1 ∧ ino0 = ino2 ∧ ino = ino3 ∧ (isdir ↔ isdir0) ∧ err = err1 ∧ dirs = dirs1 ∧ files = files2 ∧ (asynced ↔ asynced1)), isdir ↔ bv, isdir0 ↔ bv0, asynced1 ↔ asynced0, files1[ino1] = mkfile(m, md0, # links(ino1, dirs), content), buf-opt = none, buf-opt1 = buf-opt0, dirs1 = dirs0, err1 = err0, files = files1, files2 = files0, ino = 0, ino0 = 0, inode = mkinode(ino1, md0, false, # links(ino1, dirs), 0, m), inode1 = inode0, n = m, pageno = m / VFS_PAGE_SIZE, afs-cons(dirs, files1), afs-cons(dirs0, files0), pre-truncate(inode, n, pageno, buf-opt, dirs, files), files1 ~ files0, ino1 ∈ files1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ VFS_PAGE_SIZE = 0, (err0 = ESUCCESS ⊃ files0[ino1].content.stream from m = σ⊥ ∧ (n0 ≤ # buf → ino1 ∈ files0 ∧ files0[ino1].size = m) ∧ files1 -- ino1 = files0 -- ino1 ;⌊err0⌋ ) ∧ inode0 = mkinode(ino1, md0, false, # links(ino1, dirs), 0, m)