| # lpt = # avol, lpt[n1] = mklp(m, m0, LP_GROUP_NODES, m1), keyset(gch) = gc-heap(lpt, log0), remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems log0 ∩ ginval = ∅, dom gstore1 ∪ elems log0 = dom gstore2 ∪ ginval, n1 < # avol, ginval < # avol, abs-gstore(avol, lpt, gstore2, ginval), abs-istore(avol, lpt, istore2), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate = readonly, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt, freelist), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval), log-group-block(log0, lpt), lpt-free-unref(lpt), istore1 ⊑ istore2, pstate = unbuffered → isbuf, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → log0 ≠ [] ∧ pstate.lnum = log0.last ∧ pstate.lnum ∈ gstore2, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate = unbuffered → bleb = nobuffer, isbuf → synced(avol) ⊦ n1 ∈ gstore2 ∧ ¬ n1 ∈ log0 ∧ ⟨n0 := n1; err := ESUCCESS⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ n1 = n0 ∧ ESUCCESS = err), (¬ n ∈ gstore2 ∨ n ∈ log0) ∧ ⟨err := ENOSPC⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ n1 = n0 ∧ ESUCCESS = err), dups(log0), n1 ∈ log0 |
# lpt = # avol, lpt[n1] = mklp(m, m0, LP_GROUP_NODES, m1), keyset(gch) = gc-heap(lpt, log0), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, elems log0 ∩ ginval = ∅, dom gstore1 ∪ elems log0 = dom gstore2 ∪ ginval, ginval < # avol, n1 < # avol, abs-gstore(avol, lpt, gstore2, ginval), abs-istore(avol, lpt, istore2), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate = readonly, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), flash-lpt-cons(lpt0, istore1, gstore1), freelist-cons(lpt, freelist), inv(gstore2 \ ginval), inv(gstore1), inv(istore2), inv(istore1), log-group-block(log0, lpt), lpt-free-unref(lpt), istore1 ⊑ istore2, ¬ dups(log0), ¬ n1 ∈ log0, isbuf → synced(avol), pstate = unbuffered → bleb = nobuffer, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate.journal? → log0 ≠ [] ∧ pstate.lnum = log0.last ∧ pstate.lnum ∈ gstore2, pstate.index? → pstate.lnum ∈ istore2, pstate = unbuffered → isbuf ⊦ (¬ n ∈ gstore2 ∨ n ∈ log0) ∧ ⟨err := ENOSPC⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ n1 = n0 ∧ ESUCCESS = err), n1 ∈ gstore2 ∧ ⟨n0 := n1; err := ESUCCESS⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ n1 = n0 ∧ ESUCCESS = err)