[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 47 from proof truncate-inv (previous step)

⟨files1[ino2].content := content2 upto ino0; let new_inode = inode in {new_inode.size := m0; afs_inode_sync#(new_inode; dirs, files1)}; inode := getinode(inode.ino, dirs, files1); err := ESUCCESS⟩ ( ino = ino1 ∧ ino0 = ino3 ∧ (isdir ↔ isdir0) ∧ pageno1 = pageno0 ∧ buf-opt0 = buf-opt1 ∧ files1 = files0 ∧ dirs = dirs0 ∧ inode = inode0 ∧ err = ESUCCESS), ⟨if isdir then {pageno := m0 / VFS_PAGE_SIZE; if buf-opt.some? then buf := buf-opt.buf else buf := files1[ino2].content[pageno]; buf := fill(buf, zero, ino, VFS_PAGE_SIZE - ino); content[pageno] := buf; buf-opt := some(buf)}⟩ (pageno = pageno1 ∧ buf = buf0 ∧ content = content2 ∧ buf-opt = buf-opt0), isdir ↔ inode.size ≤ m0 ∧ ino ≠ 0 ∧ (m0 / VFS_PAGE_SIZE ∈ content ∨ buf-opt.some?), files0[ino4] = mkfile(m, md0, m1, content1), files1[ino4] = mkfile(m0, md, # links(ino4, dirs), content0), buf-opt = none, content = files1[inode.ino].content, ino = inode.size % VFS_PAGE_SIZE, ino0 = min(m0, inode.size), ino2 = inode.ino, ino5 = 0, ino6 = 0, inode = mkinode(ino4, md, false, # links(ino4, dirs), 0, m0), afs-cons(dirs, files1), afs-cons(dirs0, files0), files1 ~ files0, ino4 ∈ files1, inode.size ≤ m0 → ino ≠ 0 → VFS_PAGE_SIZE ≠ 0 ⊦ VFS_PAGE_SIZE = 0, content1.stream from m0 = σ⊥

Heuristic symbolic execution applied rule assign left

And obtained the following new goals

Rule argument

Additional information