| # lpt2 = # avol, # lpt1 = # avol, bleb = nobuffer, err = ESUCCESS, ¬ isbuf, keyset(gch) = gc-heap(lpt2, log1), awbuf-inv(avol, bleb), awbuf-inv(avol, bleb0), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(isbuf, bleb0, lpt2, avol), bufs-log-only(bleb0, log1, lpt2), freelist-cons(lpt2, freelist), log-group-block(log1, lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt1), lpt-leb-size(lpt2), lpt-leb-size(lpt1), lpt-ram-flash(lpt2, lpt1, log1), synced(avol) ⊦ ⟪log := log1; if err = ESUCCESS then awbuf_commit#(lpt2, adr0, m0, avol, bleb; ns0, adr, m, log, lpt1, ns, isbuf; err); if err = ESUCCESS then {persistence_gc_heap_add_log#(; log1, lpt2, gch); persistence_cleanup_lpt#(adr, m, log, lpt1, ns, bleb, isbuf; lpt2, freelist, gch, avol)}⟫ ( lpt-free-unref(lpt2) ∧ lpt-free-unref(lpt1) ∧ freelist-cons(lpt2, freelist) ∧ log1 = log ∧ bin-heap-inv(gch, lpt2) ∧ keyset(gch) = gc-heap(lpt2, log) ∧ bufs-log-only(bleb, log, lpt2) ∧ # lpt2 = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt2) ∧ buf-ro-rw-mode(isbuf, bleb, lpt2, avol) ∧ lpt-leb-size(lpt2) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt2, lpt1, log) ∧ awbuf-inv(avol, bleb) ∧ # lpt1 = # avol ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → bleb = nobuffer) ∧ (err = ESUCCESS ↔ ¬ isbuf)), dups(log1) |
# lpt1 = # avol, # lpt2 = # avol, bleb = nobuffer, err = ESUCCESS, ¬ isbuf, keyset(gch) = gc-heap(lpt2, log1), log = log1, awbuf-inv(avol, bleb0), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(isbuf, bleb0, lpt2, avol), bufs-log-only(bleb0, log1, lpt2), freelist-cons(lpt2, freelist), log-group-block(log1, lpt2), lpt-free-unref(lpt1), lpt-free-unref(lpt2), lpt-leb-size(lpt1), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt1, log1), synced(avol) ⊦ ⟪if err = ESUCCESS then awbuf_commit#(lpt2, adr0, m0, avol, bleb; ns0, adr, m, log, lpt1, ns, isbuf; err); if err = ESUCCESS then {persistence_gc_heap_add_log#(; log1, lpt2, gch); persistence_cleanup_lpt#(adr, m, log, lpt1, ns, bleb, isbuf; lpt2, freelist, gch, avol)}⟫ ( lpt-free-unref(lpt2) ∧ lpt-free-unref(lpt1) ∧ freelist-cons(lpt2, freelist) ∧ log1 = log ∧ bin-heap-inv(gch, lpt2) ∧ keyset(gch) = gc-heap(lpt2, log) ∧ bufs-log-only(bleb, log, lpt2) ∧ # lpt2 = # avol ∧ ¬ dups(log) ∧ log-group-block(log, lpt2) ∧ buf-ro-rw-mode(isbuf, bleb, lpt2, avol) ∧ lpt-leb-size(lpt2) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt2, lpt1, log) ∧ awbuf-inv(avol, bleb) ∧ # lpt1 = # avol ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → bleb = nobuffer) ∧ (err = ESUCCESS ↔ ¬ isbuf)), dups(log1)