[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 41 from proof write-term (previous step)

of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m2, md0, # links(m, dirs), content0), buf-opt = none, dirs0 = dirs, err = ESUCCESS, ino = 0, ino0 = 0, inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), n0 ≠ 0, afs-cons(dirs, files), of-cons(of, dirs, files), m ∈ files, fd ∈ of, n0 ≤ # buf ⊦ [afs_truncate_internal#(m2, m2 / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)] ( afs-cons(dirs, files) → ⟪ino3 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n0, buf, dirs; ino3, err, files, asynced); if ino3 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n0 := ino3, ino1 := m0 + ino3; if ino3 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}⟫ (dirs0 = dirs)), mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 42:
files[m] = mkfile(m2, md0, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), buf-opt = none, dirs0 = dirs, err = ESUCCESS, ino = 0, ino0 = ino, ino1 = ino2, ino2 = 0, inode = mkinode(m, md0, false, # links(m, dirs), 0, m2), n = m2, pageno = m2 / VFS_PAGE_SIZE, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, m ∈ files, n0 ≤ # buf ⊦ [ let ino = inode.ino, content = files[inode.ino].content, buf = ? in {ino1 := inode.size % VFS_PAGE_SIZE, ino0 := min(n, inode.size); isdir := inode.size ≤ n ∧ ino1 ≠ 0 ∧ (pageno ∈ content ∨ buf-opt.some?); if isdir then {if buf-opt.some? then buf := buf-opt.buf else buf := files[ino].content[pageno]; buf := fill(buf, zero, ino1, VFS_PAGE_SIZE - ino1); content[pageno] := buf; buf-opt := some(buf)}; files[ino].content := content upto ino0; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS} or fail#(; ; err); asynced := ?] ( afs-cons(dirs, files) → ⟪ino3 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n0, buf, dirs; ino3, err, files, asynced); if ino3 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n0 := ino3, ino1 := m0 + ino3; if ino3 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}⟫ (dirs0 = dirs)), VFS_PAGE_SIZE = 0, n0 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_truncate_internal# (N, PAGENO ; INODE, PBUF-OPT, OFFSET, SIZE, MODIFIED, ERR, DIRS, FILES ; ASYNCED ) { let INO = INODE.ino, CONTENT = FILES[INODE.ino].content, PBUF = ? in {OFFSET := INODE.size % VFS_PAGE_SIZE, SIZE := min(N, INODE.size); MODIFIED := INODE.size ≤ N ∧ OFFSET ≠ 0 ∧ (PAGENO ∈ CONTENT ∨ PBUF-OPT.some?); if MODIFIED then {if PBUF-OPT.some? then PBUF := PBUF-OPT.buf else PBUF := FILES[INO].content[PAGENO]; PBUF := fill(PBUF, zero, OFFSET, VFS_PAGE_SIZE - OFFSET); CONTENT[PAGENO] := PBUF; PBUF-OPT := some(PBUF)}; FILES[INO].content := CONTENT upto SIZE; let NEW_INODE = INODE in {NEW_INODE.size := N; afs_inode_sync#(NEW_INODE; DIRS, FILES)}; INODE := getinode(INODE.ino, DIRS, FILES); ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ? };