| # lpt1 = # avol, # lpt0 = # avol, isbuf ↔ isbuf1, lpt1[nobuffer.leb] = mklp(m0, m5, lpf, m4), adr = adr0, gstore = gstore1, gstore0 = gstore2, isbuf1, istore = istore1, istore0 = istore2, keyset(gch) = gc-heap(lpt1, log1), log = log1, maxino = m, ns = ns0, pstate = unbuffered, remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, ginval < # avol, abs-gstore(avol, lpt1, gstore2, ginval), abs-istore(avol, lpt1, istore2), awbuf-inv(avol, nobuffer), bin-heap-inv(gch, lpt1), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt1, freelist), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval), log-group-block(log1, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log1), synced(avol), istore1 ⊑ istore2 ⊦ ⟨if pstate = readonly then err := EROFS else if pstate = unbuffered then err := ESUCCESS else {fail_or_success#(; ; err); isbuf := err = ESUCCESS; skip or pstate := readonly}⟩ (pstate = unbuffered ∧ ESUCCESS = err), dups(log1) |
# lpt0 = # avol, # lpt1 = # avol, isbuf ↔ isbuf1, lpt1[nobuffer.leb] = mklp(m0, m5, lpf, m4), adr = adr0, gstore = gstore1, gstore0 = gstore2, isbuf1, istore = istore1, istore0 = istore2, keyset(gch) = gc-heap(lpt1, log1), log = log1, maxino = m, ns = ns0, pstate = unbuffered, remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, elems log1 ∩ ginval = ∅, dom gstore1 ∪ elems log1 = dom gstore2 ∪ ginval, ginval < # avol, abs-gstore(avol, lpt1, gstore2, ginval), abs-istore(avol, lpt1, istore2), awbuf-inv(avol, nobuffer), bin-heap-inv(gch, lpt1), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt1, freelist), inv(gstore2 \ ginval), inv(gstore1), inv(istore2), inv(istore1), log-group-block(log1, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log1), synced(avol), istore1 ⊑ istore2 ⊦ ⟨if pstate = unbuffered then err := ESUCCESS else {fail_or_success#(; ; err); isbuf := err = ESUCCESS; skip or pstate := readonly}⟩ (pstate = unbuffered ∧ ESUCCESS = err), dups(log1)
Used simplifier rules: ⊦ unbuffered ≠ readonly; (s)