| # avol = # avol0, # lpt1 = # avol0, # lpt3 = # avol0, isbuf ↔ false, adr = adr2, bleb = nobuffer, keyset(gch1) = gc-heap(lpt1, log2), log = log2, lpt = lpt3, m = m4, ns = ns2, awbuf-inv(avol0, bleb1), bin-heap-inv(gch1, lpt1), buf-ro-rw-mode(isbuf1, bleb1, lpt1, avol0), bufs-log-only(bleb1, log2, lpt1), freelist-cons(lpt1, log5), log-group-block(log2, lpt1), lpt-free-unref(lpt3), lpt-free-unref(lpt1), lpt-leb-size(lpt3), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt3, log2), synced(avol0), synced(avol), avol ↓ avol0 ⊦ ⟪let log1 = log2 in {lpt1 := lpt3; lpt0 := lpt3; persistence_replay_log#(LEB_SIZE; log1, lpt3)}; persistence_replay_lpt#(log2, LEB_SIZE, adr2, m4, log2, lpt1, ns2, nobuffer, false; lpt3, avol); persistence_create_freelist#(lpt3; freelist); persistence_create_gcheap#(log2; lpt3, gch)⟫ ( lpt-free-unref(replay-lpt(replay-log(lpt0, log2), log2, # avol0)) ∧ lpt-free-unref(lpt0) ∧ freelist-cons(replay-lpt(replay-log(lpt0, log2), log2, # avol0), freelist) ∧ bin-heap-inv(gch, lpt3) ∧ keyset(gch) = gc-heap(replay-lpt(replay-log(lpt0, log2), log2, # avol0), log2) ∧ # lpt3 = # avol ∧ log-group-block(log2, lpt3) ∧ lpt-leb-size(replay-lpt(replay-log(lpt0, log2), log2, # avol0)) ∧ lpt-leb-size(lpt0) ∧ lpt-ram-flash(lpt3, lpt0, log2) ∧ LEB_SIZE = LEB_SIZE ∧ awbuf-inv(avol, nobuffer) ∧ # lpt0 = # avol ∧ # avol = # avol0 ∧ lpt1 = lpt0 ∧ id-idx(replay-lpt(replay-log(lpt0, log2), log2, # avol0), lpt3)), dups(log2) |
# lpt3 = # avol0, # lpt1 = # avol0, # avol = # avol0, isbuf ↔ false, adr = adr2, bleb = nobuffer, keyset(gch1) = gc-heap(lpt1, log2), log = log2, log1 = log2, lpt = lpt3, m = m4, ns = ns2, awbuf-inv(avol0, bleb1), bin-heap-inv(gch1, lpt1), buf-ro-rw-mode(isbuf1, bleb1, lpt1, avol0), bufs-log-only(bleb1, log2, lpt1), freelist-cons(lpt1, log5), log-group-block(log2, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt3), lpt-leb-size(lpt1), lpt-leb-size(lpt3), lpt-ram-flash(lpt1, lpt3, log2), synced(avol), synced(avol0), avol ↓ avol0 ⊦ ⟪lpt1 := lpt3; lpt0 := lpt3; persistence_replay_log#(LEB_SIZE; log1, lpt3); persistence_replay_lpt#(log2, LEB_SIZE, adr2, m4, log2, lpt1, ns2, nobuffer, false; lpt3, avol); persistence_create_freelist#(lpt3; freelist); persistence_create_gcheap#(log2; lpt3, gch)⟫ ( lpt-free-unref(replay-lpt(replay-log(lpt0, log2), log2, # avol0)) ∧ lpt-free-unref(lpt0) ∧ freelist-cons(replay-lpt(replay-log(lpt0, log2), log2, # avol0), freelist) ∧ bin-heap-inv(gch, lpt3) ∧ keyset(gch) = gc-heap(replay-lpt(replay-log(lpt0, log2), log2, # avol0), log2) ∧ # lpt3 = # avol ∧ log-group-block(log2, lpt3) ∧ lpt-leb-size(replay-lpt(replay-log(lpt0, log2), log2, # avol0)) ∧ lpt-leb-size(lpt0) ∧ lpt-ram-flash(lpt3, lpt0, log2) ∧ LEB_SIZE = LEB_SIZE ∧ awbuf-inv(avol, nobuffer) ∧ # lpt0 = # avol ∧ # avol = # avol0 ∧ lpt1 = lpt0 ∧ id-idx(replay-lpt(replay-log(lpt0, log2), log2, # avol0), lpt3)), dups(log2)