| asynced1 ↔ false, ((cache_files ⊕ cache_pcache0) ⊕ cache_icache)[m3] = mkfile(m0, md0, # links(m3, cache_dirs), content0), cache_files[m3] = mkfile(m1, md2, # links(m3, cache_dirs), content1), afs_files = (cache_files ⊕ cache_pcache0) ⊕ cache_icache, buf-opt = none, buf-opt0 = none, cache_pcache = truncate(ino, min(n, size), pcache), err = ESUCCESS, ino = m3, inode0 = mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m2), inode1 = (m3 ∈ cache_dirs ⊃ mkinode(m3, cache_dirs[m3].meta, true, cache_dirs[m3].nlink, cache_dirs[m3].nsubdirs, cache_dirs[m3].size) ;mkinode (m3, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).meta, false, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).nlink, 0, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).size) ), n = m6, pcache = cache_pcache0, size = m2, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache0) ⊕ 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_pcache0, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache0), m3 ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ pcache → key.data? ⊦ ⟨cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; cache_dirs0 := cache_dirs; afs_truncate#(m6, m2 / VFS_PAGE_SIZE; buf-opt0, inode0, asynced5, err0, cache_dirs, afs_files, cache_asynced)⟩ ( cache_dirs = cache_dirs3 ∧ afs_files = (cache_files[m3, mkfile(m6, md1, # links(m3, cache_dirs2), content1 upto min(m6, m2))] ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md1, false, # links(m3, cache_dirs0), 0, m6))] ∧ ¬ cache_asynced ∧ none = buf-opt0 ∧ inode1 = inode0 ∧ (asynced1 ↔ asynced5) ∧ err = err0), datakey(m3, m2 / VFS_PAGE_SIZE) ∈ cache_pcache0, m2 ≤ m6 ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content1 |
asynced1 ↔ false, cache_files[m3] = mkfile(m1, md2, # links(m3, cache_dirs), content1), ((cache_files ⊕ cache_pcache0) ⊕ cache_icache)[m3] = mkfile(m0, md0, # links(m3, cache_dirs), content0), afs_files = (cache_files ⊕ cache_pcache0) ⊕ cache_icache, buf-opt = none, buf-opt0 = none, cache_dirs2 = cache_dirs, cache_pcache = truncate(ino, min(n, size), pcache), err = ESUCCESS, ino = m3, inode0 = mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m2), inode1 = (m3 ∈ cache_dirs ⊃ mkinode(m3, cache_dirs[m3].meta, true, cache_dirs[m3].nlink, cache_dirs[m3].nsubdirs, cache_dirs[m3].size) ;mkinode (m3, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).meta, false, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).nlink, 0, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).size) ), n = m6, pcache = cache_pcache0, size = m2, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache0) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache0, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache0), m3 ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ pcache → key.data? ⊦ ⟨cache_dirs3 := cache_dirs; cache_dirs0 := cache_dirs; afs_truncate#(m6, m2 / VFS_PAGE_SIZE; buf-opt0, inode0, asynced5, err0, cache_dirs, afs_files, cache_asynced)⟩ ( cache_dirs = cache_dirs3 ∧ afs_files = (cache_files[m3, mkfile(m6, md1, # links(m3, cache_dirs2), content1 upto min(m6, m2))] ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md1, false, # links(m3, cache_dirs0), 0, m6))] ∧ ¬ cache_asynced ∧ none = buf-opt0 ∧ inode1 = inode0 ∧ (asynced1 ↔ asynced5) ∧ err = err0), datakey(m3, m2 / VFS_PAGE_SIZE) ∈ cache_pcache0, m2 ≤ m6 ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content1