| # avol2 = # avol0, # lpt2 = # avol0, # avol = # avol0, # lpt4 = # avol0, # lpt = # avol0, gstore = crash(gstore1, gstore2, ns3, log3), istore = remove-refsize0(crash(istore1, istore2)), keyset(gch1) = gc-heap(lpt2, log3), keyset(gch) = gc-heap(replay-lpt(replay-log(lpt4, log3), log3, # avol0), log3), remove-refsize0(istore2) = istore2, remove-refsize0(gstore2) = gstore2, elems log3 ∩ ns3 = ∅, dom gstore2 ∪ elems log3 = dom gstore1 ∪ ns3, ns3 < # avol0, abs-gstore(avol0, lpt2, gstore1, ns3), abs-istore(avol0, lpt2, istore1), avol-replay-lpt-unchanged(avol, avol2, replay-log(lpt4, log3), log3), awbuf-inv(avol0, bleb1), awbuf-inv(avol2, nobuffer), bin-heap-inv(gch1, lpt2), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate0 = readonly, bleb1, lpt2, avol0), bufs-log-only(bleb1, log3, lpt2), flash-lpt-cons(lpt4, istore2, gstore2), freelist-cons(lpt2, log4), freelist-cons(replay-lpt(replay-log(lpt4, log3), log3, # avol0), freelist), id-idx(replay-lpt(replay-log(lpt4, log3), log3, # avol0), lpt), inv(istore2), inv(istore1), inv(gstore2), inv(gstore1 \ ns3), log-group-block(log3, lpt2), log-group-block(log3, lpt), lpt-free-unref(lpt2), lpt-free-unref(lpt4), lpt-leb-size(lpt2), lpt-leb-size(lpt4), lpt-leb-size(replay-lpt(replay-log(lpt4, log3), log3, # avol0)), lpt-ram-flash(lpt2, lpt4, log3), lpt-ram-flash(lpt, lpt4, log3), synced(avol), synced(avol0), synced(avol2), valid-indices(lpt4, log3), avol ↓ avol0, istore2 ⊑ istore1, pstate0 = unbuffered → isbuf0, pstate0.index? → pstate0.lnum ∈ istore1, pstate0.journal? → log3 ≠ [] ∧ pstate0.lnum = log3.last ∧ pstate0.lnum ∈ gstore1, pstate0 ≠ unbuffered ∧ pstate0 ≠ readonly → bleb1 = buffered(pstate0.lnum), pstate0 = unbuffered → bleb1 = nobuffer ⊦ ⟨ns0 := ns2; m0 := m2; log0 := log3; adr0 := adr1; log := log3; apersistence_recover#(; adr4, m5, log6, ns6, adr1, log3, m2, ns2, istore, istore2, ns3, gstore, gstore2; pstate, isbuf0, err1)⟩ ( abs-istore(avol2, replay-lpt(replay-log(lpt4, log), log, # avol0), istore) ∧ abs-gstore(avol2, replay-lpt(replay-log(lpt4, log), log, # avol0), gstore, ns3) ∧ adr1 = adr4 ∧ m2 = m5 ∧ log3 = log6 ∧ ns3 < # avol0 ∧ ns2 = ns6 ∧ flash-lpt-cons(lpt4, istore2, gstore2) ∧ pstate = unbuffered ∧ adr0 = adr4 ∧ m0 = m5 ∧ log0 = log6 ∧ ns0 = ns6 ∧ ESUCCESS = err1), dups(log3) |
# lpt = # avol0, # lpt4 = # avol0, # avol = # avol0, # lpt2 = # avol0, # avol2 = # avol0, gstore = crash(gstore1, gstore2, ns3, log3), istore = remove-refsize0(crash(istore1, istore2)), keyset(gch) = gc-heap(replay-lpt(replay-log(lpt4, log3), log3, # avol0), log3), keyset(gch1) = gc-heap(lpt2, log3), ns0 = ns2, remove-refsize0(gstore2) = gstore2, remove-refsize0(istore2) = istore2, elems log3 ∩ ns3 = ∅, dom gstore2 ∪ elems log3 = dom gstore1 ∪ ns3, ns3 < # avol0, abs-gstore(avol0, lpt2, gstore1, ns3), abs-istore(avol0, lpt2, istore1), avol-replay-lpt-unchanged(avol, avol2, replay-log(lpt4, log3), log3), awbuf-inv(avol2, nobuffer), awbuf-inv(avol0, bleb1), bin-heap-inv(gch, lpt), bin-heap-inv(gch1, lpt2), buf-ro-rw-mode(pstate0 = readonly, bleb1, lpt2, avol0), bufs-log-only(bleb1, log3, lpt2), flash-lpt-cons(lpt4, istore2, gstore2), freelist-cons(replay-lpt(replay-log(lpt4, log3), log3, # avol0), freelist), freelist-cons(lpt2, log4), id-idx(replay-lpt(replay-log(lpt4, log3), log3, # avol0), lpt), inv(gstore1 \ ns3), inv(gstore2), inv(istore1), inv(istore2), log-group-block(log3, lpt), log-group-block(log3, lpt2), lpt-free-unref(lpt4), lpt-free-unref(lpt2), lpt-leb-size(replay-lpt(replay-log(lpt4, log3), log3, # avol0)), lpt-leb-size(lpt4), lpt-leb-size(lpt2), lpt-ram-flash(lpt, lpt4, log3), lpt-ram-flash(lpt2, lpt4, log3), synced(avol2), synced(avol0), synced(avol), valid-indices(lpt4, log3), avol ↓ avol0, istore2 ⊑ istore1, pstate0 = unbuffered → bleb1 = nobuffer, pstate0 ≠ unbuffered ∧ pstate0 ≠ readonly → bleb1 = buffered(pstate0.lnum), pstate0.journal? → log3 ≠ [] ∧ pstate0.lnum = log3.last ∧ pstate0.lnum ∈ gstore1, pstate0.index? → pstate0.lnum ∈ istore1, pstate0 = unbuffered → isbuf0 ⊦ ⟨m0 := m2; log0 := log3; adr0 := adr1; log := log3; apersistence_recover#(; adr4, m5, log6, ns6, adr1, log3, m2, ns2, istore, istore2, ns3, gstore, gstore2; pstate, isbuf0, err1)⟩ ( abs-istore(avol2, replay-lpt(replay-log(lpt4, log), log, # avol0), istore) ∧ abs-gstore(avol2, replay-lpt(replay-log(lpt4, log), log, # avol0), gstore, ns3) ∧ adr1 = adr4 ∧ m2 = m5 ∧ log3 = log6 ∧ ns3 < # avol0 ∧ ns2 = ns6 ∧ flash-lpt-cons(lpt4, istore2, gstore2) ∧ pstate = unbuffered ∧ adr0 = adr4 ∧ m0 = m5 ∧ log0 = log6 ∧ ns0 = ns6 ∧ ESUCCESS = err1), dups(log3)