| ⟨afs_truncate#(m2, m2 / VFS_PAGE_SIZE; buf-opt, inode, isdir, err, dirs, files1, asynced)⟩ (buf-opt = buf-opt0 ∧ inode = inode0 ∧ (isdir ↔ isdir0) ∧ err = ESUCCESS ∧ dirs = dirs0 ∧ files1 = files0 ∧ (asynced ↔ asynced0)), files1 -- m = files0 -- m, files1[m] = mkfile(m2, md0, # links(m, dirs), content0), of1[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m2, md0, # links(m, dirs), content), buf-opt = none, err = ESUCCESS, err0 = ESUCCESS, content.stream from m2 = σ⊥, ino3 = m2, inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), inode0 = mkinode(m, md0, false, # links(m, dirs), 0, m2), n = n1, of = of1, content0.stream to m2 = content.stream to m2, afs-cons(dirs, files1), of-cons(of1, dirs, files1), write-inv(m0, m0 + n1, mkinode(m, md0, false, # links(m, dirs), 0, m2), buf, 0, dirs0, files0, files0), write-inv(m0, m0 + n1, mkinode(m, md0, false, # links(m, dirs), 0, m2), buf, ino, dirs0, files0, files), files1 ~ files0, m ∈ files, m ∈ files1, fd ∈ of1, n1 ≤ # buf, ino = 0 → files = files0, err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ [n := ino, ino1 := of1[fd].pos + ino; if ino ≠ 0 ∧ ino3 < ino1 then {inode0 := mkinode(m, md0, false, # links(m, dirs), 0, ino1); afs_check_commit#(dirs0, files; err0; asynced1); if err0 = ESUCCESS then afs_write_inode#(inode0; err0, dirs0, files; asynced1)}; ino2 := of1[fd].pos; if err0 ≠ ESUCCESS then n := (ino2 ≤ ino3 ⊃ ino3 - ino2;0), err0 := ESUCCESS; of[fd].pos := ino2 + n] (err0 = ESUCCESS ⊃ (files[m].content.stream to files[m].size).buf = splice(buf, 0, (content0.stream to m2).buf, m0, n) ∧ of = of1[fd, of1[fd].pos:= (m0 + n)] ∧ n ≤ n1 ∧ m ∈ files ∧ files[m].meta = md0 ∧ files -- m = files1 -- m ∧ (mode = MODE_W ∨ mode = MODE_RW) ;files ~ files1 ∧ of1 = of ∧ (err0 = EBADFD ∧ (fd ∈ of → of[fd].mode ≠ MODE_W ∧ of[fd].mode ≠ MODE_RW) ∨ ⌊err0⌋ ) ), ino = 0, n1 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW |
⟨afs_truncate#(m2, m2 / VFS_PAGE_SIZE; buf-opt, inode, isdir, err, dirs, files1, asynced)⟩ (buf-opt = buf-opt0 ∧ inode = inode0 ∧ (isdir ↔ isdir0) ∧ err = ESUCCESS ∧ dirs = dirs0 ∧ files1 = files0 ∧ (asynced ↔ asynced0)), files1 -- m = files0 -- m, files0[m] = mkfile(m2, md0, # links(m, dirs), content), of1[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m2, md0, # links(m, dirs), content0), buf-opt = none, err = ESUCCESS, err0 = ESUCCESS, content.stream from m2 = σ⊥, ino1 = of1[fd].pos + ino, ino3 = m2, inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), inode0 = mkinode(m, md0, false, # links(m, dirs), 0, m2), n = ino, n0 = n1, of = of1, content0.stream to m2 = content.stream to m2, afs-cons(dirs, files1), of-cons(of1, dirs, files1), write-inv(m0, m0 + n1, mkinode(m, md0, false, # links(m, dirs), 0, m2), buf, ino, dirs0, files0, files), write-inv(m0, m0 + n1, mkinode(m, md0, false, # links(m, dirs), 0, m2), buf, 0, dirs0, files0, files0), files1 ~ files0, m ∈ files1, m ∈ files, fd ∈ of1, n1 ≤ # buf, ino = 0 → files = files0, err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ [if ino ≠ 0 ∧ ino3 < ino1 then {inode0 := mkinode(m, md0, false, # links(m, dirs), 0, ino1); afs_check_commit#(dirs0, files; err0; asynced1); if err0 = ESUCCESS then afs_write_inode#(inode0; err0, dirs0, files; asynced1)}; ino2 := of1[fd].pos; if err0 ≠ ESUCCESS then n := (ino2 ≤ ino3 ⊃ ino3 - ino2;0), err0 := ESUCCESS; of[fd].pos := ino2 + n] (err0 = ESUCCESS ⊃ (files[m].content.stream to files[m].size).buf = splice(buf, 0, (content0.stream to m2).buf, m0, n) ∧ of = of1[fd, of1[fd].pos:= (m0 + n)] ∧ n ≤ n1 ∧ m ∈ files ∧ files[m].meta = md0 ∧ files -- m = files1 -- m ∧ (mode = MODE_W ∨ mode = MODE_RW) ;files ~ files1 ∧ of1 = of ∧ (err0 = EBADFD ∧ (fd ∈ of → of[fd].mode ≠ MODE_W ∧ of[fd].mode ≠ MODE_RW) ∨ ⌊err0⌋ ) ), ino = 0, n1 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW