| asynced ↔ asynced0, afs_asynced ↔ cache_asynced, asynced3 ↔ cache_asynced, asynced4 ↔ asynced, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, m1, content), afs_dirs = cache_dirs, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, buf-opt = none, dirs = cache_dirs, err = err0, files = cache_files, icache = cache_icache, inode = mkinode(m, md, false, m1, 0, m2), pageno = m2 / VFS_PAGE_SIZE, pcache = cache_pcache, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), 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), m ∈ cache_files, datakey(m, m2 / VFS_PAGE_SIZE) ∈ cache_pcache, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪abort⟫ ⟨buf-opt0 := none; inode0 := mkinode(m, md, false, m1, 0, m2); afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, inode0, asynced0, err0, afs_dirs, afs_files, afs_asynced)⟩ ( afs_dirs = dirs ∧ afs_files = (files ⊕ pcache) ⊕ icache ∧ (afs_asynced ↔ asynced3) ∧ buf-opt = buf-opt0 ∧ inode = inode0 ∧ (asynced4 ↔ asynced0) ∧ err = err0), VFS_PAGE_SIZE = 0, pre-truncate(inode, n, pageno, buf-opt, dirs, files) |
asynced4 ↔ asynced, asynced3 ↔ cache_asynced, afs_asynced ↔ cache_asynced, asynced ↔ asynced0, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, m1, content), afs_dirs = cache_dirs, afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, buf-opt = none, dirs = cache_dirs, err = err0, files = cache_files, icache = cache_icache, inode = mkinode(m, md, false, m1, 0, m2), pageno = m2 / VFS_PAGE_SIZE, pcache = cache_pcache, 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), datakey(m, m2 / VFS_PAGE_SIZE) ∈ cache_pcache, m ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ VFS_PAGE_SIZE = 0, pre-truncate(inode, n, pageno, buf-opt, dirs, files)