| 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), cache_sync → synced(cache_files, cache_icache, cache_pcache), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [choose bv with true in asynced := bv] ⟨afs_check_commit#(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache; err1; afs_asynced)⟩ ((afs_asynced ↔ asynced) ∧ err0 = err1) |
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), cache_sync → synced(cache_files, cache_icache, cache_pcache), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [asynced := bv] ⟨afs_check_commit#(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache; err1; afs_asynced)⟩ ((afs_asynced ↔ asynced) ∧ err0 = err1)