[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 80 from proof write-loop-0 (previous step)

VFS_PAGE_SIZE = n0 + (ino2 + ino5) % VFS_PAGE_SIZE, files[m] = mkfile(m3, md0, m4, content), buf = copy(buf0, ino5, zeropage, (ino2 + ino5) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino5, n0)), err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = (ino2 + ino5) / VFS_PAGE_SIZE, m ∈ files, (ino2 + ino5) % VFS_PAGE_SIZE + min(ino1 - ino2 + ino5, n0) ≤ # zeropage, (ino2 + ino5) % VFS_PAGE_SIZE + min(ino1 - ino2 + ino5, n0) ≤ VFS_PAGE_SIZE, ino2 + ino5 ≤ ino1, ino5 + min(ino1 - ino2 + ino5, n0) ≤ # buf0, ino1 ≥ ino2 + ino5, ino5 = 0 → files = files1 ⊦ [if pre-writepage(inode, pageno, buf, dirs, files) then {{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort; n := min(ino1 - ino2 + ino5, n0); if err = ESUCCESS then ino5 := ino5 + n] (ino5 = 0 → files = files1), VFS_PAGE_SIZE = 0, min(ino1 - ino2 + ino5, n0) = 0, (ino2 + ino5) / VFS_PAGE_SIZE ∈ content

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 81:
VFS_PAGE_SIZE = n0 + (ino2 + ino5) % VFS_PAGE_SIZE, files[m] = mkfile(m3, md0, m4, content), buf = copy(buf0, ino5, zeropage, (ino2 + ino5) % VFS_PAGE_SIZE, min(ino1 - ino2 + ino5, n0)), err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), pageno = (ino2 + ino5) / VFS_PAGE_SIZE, m ∈ files, ino5 + min(ino1 - ino2 + ino5, n0) ≤ # buf0, ino2 + ino5 ≤ ino1, (ino2 + ino5) % VFS_PAGE_SIZE + min(ino1 - ino2 + ino5, n0) ≤ VFS_PAGE_SIZE, (ino2 + ino5) % VFS_PAGE_SIZE + min(ino1 - ino2 + ino5, n0) ≤ # zeropage, ino1 ≥ ino2 + ino5, ino5 = 0 → files = files1 ⊦ [{files[inode.ino].content[pageno] := buf; err := ESUCCESS} or fail#(; ; err); asynced := ?; n := min(ino1 - ino2 + ino5, n0); if err = ESUCCESS then ino5 := ino5 + n] (ino5 = 0 → files = files1), VFS_PAGE_SIZE = 0, min(ino1 - ino2 + ino5, n0) = 0, (ino2 + ino5) / VFS_PAGE_SIZE ∈ content

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ pre-writepage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)% ⊦ # zeropage = VFS_PAGE_SIZE; (s)