| asynced ↔ cache_asynced, dirs = cache_dirs, err = err1, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, inode = inode0, inode1 = inode0, 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), ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), ino ∈ cache_dirs ∨ ino ∈ cache_files ⊦ ⟨if pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort⟩ (inode1 = inode ∧ err0 = err), ino ∈ cache_icache |
asynced ↔ cache_asynced, dirs = cache_dirs, err = err1, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, inode = inode0, inode1 = inode0, 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), pre-iget(ino, dirs, files), synced(cache_dirs, cache_icache, cache_pcache), ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), ino ∈ cache_dirs ∨ ino ∈ cache_files ⊦ ⟨{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)⟩ (inode1 = inode ∧ err0 = err), ino ∈ cache_icache
asynced ↔ cache_asynced, dirs = cache_dirs, err = err1, files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, inode = inode0, inode1 = inode0, 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), ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), ino ∈ cache_dirs ∨ ino ∈ cache_files ⊦ ⟨abort⟩ (inode1 = inode ∧ err0 = err), pre-iget(ino, dirs, files), ino ∈ cache_icache