| asynced0 ↔ asynced, ((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), dirs = cache_dirs, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, inode = mkinode(m, md, false, # links(m, cache_dirs), 0, m2), (cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0 = (cache_files ⊕ cache_pcache) ⊕ cache_icache, afs-cons(cache_dirs, cache_files0), afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files0), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache0, cache_dirs, cache_files0), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache0, cache_dirs, cache_files0), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache0, cache_pcache0), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, cache_sync → synced(cache_files0, cache_icache0, cache_pcache0), cache_sync → synced(cache_files, cache_icache, cache_pcache), err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ ⟨abort⟩ ((asynced ↔ cache_asynced) ∧ err1 = err), valid-file-inode(inode, dirs, files) |
asynced0 ↔ asynced, cache_files[m] = mkfile(m3, md1, # links(m, cache_dirs), content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m0, md0, # links(m, cache_dirs), content), dirs = cache_dirs, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, inode = mkinode(m, md, false, # links(m, cache_dirs), 0, m2), (cache_files0 ⊕ cache_pcache0) ⊕ cache_icache0 = (cache_files ⊕ cache_pcache) ⊕ cache_icache, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, cache_files0), dcache-cons(cache_dcache, cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files0), icache-cons(cache_icache, cache_dirs, cache_files), icache-cons(cache_icache0, cache_dirs, cache_files0), pcache-cons(cache_pcache, cache_dirs, cache_files), pcache-cons(cache_pcache0, cache_dirs, cache_files0), synced(cache_dirs, cache_icache, cache_pcache), synced(cache_dirs, cache_icache0, cache_pcache0), m ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache), cache_sync → synced(cache_files0, cache_icache0, cache_pcache0), err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ valid-file-inode(inode, dirs, files)