[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 34 from proof refine-truncate-buff-none-cached (previous step)

asynced ↔ asynced1, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, # links(m, cache_dirs), content), cache_files[m] = mkfile(m3, md1, # links(m, cache_dirs), content0), asynced1, buf-opt = none, err = ESUCCESS, err1 = ESUCCESS, ino = m, key = datakey(ino, pageno), pageno = m2 / VFS_PAGE_SIZE, pcache = cache_pcache, pe = pcache[key], afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), key ∈ pcache, datakey(m, m2 / VFS_PAGE_SIZE) ∈ cache_pcache, m ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪buf-opt := some(pe.page); size := m2; inode := mkinode(m, md, false, # links(m, cache_dirs), 0, m2); afs_files := (cache_files ⊕ cache_pcache) ⊕ cache_icache; afs_dirs := cache_dirs; afs_asynced := cache_asynced; asynced := asynced5; m1 := # links(m, cache_dirs); pageno := m2 / VFS_PAGE_SIZE; if err = ESUCCESS then afs_truncate#(n, pageno; buf-opt, inode, asynced, err, cache_dirs, cache_files, cache_asynced); if err = ESUCCESS then let asynced0 = false in {icache_set#(inode, asynced0; err, cache_icache); pcache_truncate#(inode.ino, size, n; err, cache_pcache); if asynced then pcache_set#(inode.ino, pageno, buf-opt.buf, asynced0; err, cache_pcache)}; if ¬ asynced ∨ err ≠ ESUCCESS then buf-opt := none⟫ ⟨buf-opt0 := none; inode0 := mkinode(m, md, false, m1, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, inode0, asynced5, err0, afs_dirs, afs_files, afs_asynced)⟩ ( afs_dirs = cache_dirs ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ cache_asynced) ∧ buf-opt = buf-opt0 ∧ inode = inode0 ∧ (asynced ↔ asynced5) ∧ err = err0), VFS_PAGE_SIZE = 0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information