| asynced ↔ cache_asynced, dirs = cache_dirs, files = cache_files, 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) ⊦ ⟪choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; asynced := err = ESUCCESS⟫ ⟨afs_sync#(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache; ; afs_asynced, err0)⟩ ((afs_asynced ↔ asynced) ∧ err = err0) |
asynced ↔ cache_asynced, dirs = cache_dirs, files = cache_files, 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 ⊦ ⟪err := err0; asynced := err = ESUCCESS⟫ ⟨afs_sync#(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache; ; afs_asynced, err1)⟩ ((afs_asynced ↔ asynced) ∧ err = err1)
asynced ↔ cache_asynced, dirs = cache_dirs, files = cache_files, 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⌋ ∨ err0 = ESUCCESS