| # lpt2 = # avol, # lpt1 = # avol, isbuf ↔ pstate = readonly, adr = adr0, bleb0 = bleb1, keyset(gch) = gc-heap(lpt2, log1), log = log1, lpt = lpt1, ns = ns0, remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, abs-gstore(avol, lpt2, gstore, ginval), abs-istore(avol, lpt2, istore), awbuf-inv(avol, bleb1), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(pstate = readonly, bleb1, lpt2, avol), bufs-log-only(bleb1, log1, lpt2), flash-lpt-cons(lpt1, istore0, gstore0), freelist-cons(lpt2, freelist), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), 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), istore0 ⊑ istore, isbuf0 → synced(avol), pstate = unbuffered → bleb1 = nobuffer, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb1 = buffered(pstate.lnum), pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore, pstate = unbuffered → isbuf0 ⊦ ⟪n := LEB_SIZE - lpt2[bleb0.leb].size⟫ ⟨apersistence_get_block_free_size#(adr0, istore, istore0, ginval, gstore, gstore0, log1, m, ns0, pstate, isbuf0; ; n0)⟩ ( (isbuf0 → synced(avol)) ∧ (pstate = unbuffered → bleb1 = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb1 = buffered(pstate.lnum)) ∧ n = n0), bleb0 = nobuffer, dups(log1) |
# lpt1 = # avol, # lpt2 = # avol, isbuf ↔ pstate = readonly, adr = adr0, bleb0 = bleb1, keyset(gch) = gc-heap(lpt2, log1), log = log1, lpt = lpt1, ns = ns0, remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, bleb0.isbuf?, bleb0.leb < # lpt2, ginval < # avol, abs-gstore(avol, lpt2, gstore, ginval), abs-istore(avol, lpt2, istore), awbuf-inv(avol, bleb1), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(pstate = readonly, bleb1, lpt2, avol), bufs-log-only(bleb1, log1, lpt2), flash-lpt-cons(lpt1, istore0, gstore0), freelist-cons(lpt2, freelist), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), 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), LEB_SIZE ≥ lpt2[bleb0.leb].size, istore0 ⊑ istore, pstate = unbuffered → isbuf0, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb1 = buffered(pstate.lnum), pstate = unbuffered → bleb1 = nobuffer, isbuf0 → synced(avol) ⊦ ⟨apersistence_get_block_free_size#(adr0, istore, istore0, ginval, gstore, gstore0, log1, m, ns0, pstate, isbuf0; ; n0)⟩ ( (isbuf0 → synced(avol)) ∧ (pstate = unbuffered → bleb1 = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb1 = buffered(pstate.lnum)) ∧ LEB_SIZE - lpt2[bleb0.leb].size = n0), bleb0 = nobuffer, dups(log1)
# lpt1 = # avol, # lpt2 = # avol, isbuf ↔ pstate = readonly, adr = adr0, bleb0 = bleb1, keyset(gch) = gc-heap(lpt2, log1), log = log1, lpt = lpt1, ns = ns0, remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, abs-gstore(avol, lpt2, gstore, ginval), abs-istore(avol, lpt2, istore), awbuf-inv(avol, bleb1), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(pstate = readonly, bleb1, lpt2, avol), bufs-log-only(bleb1, log1, lpt2), flash-lpt-cons(lpt1, istore0, gstore0), freelist-cons(lpt2, freelist), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), 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), istore0 ⊑ istore, pstate = unbuffered → isbuf0, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb1 = buffered(pstate.lnum), pstate = unbuffered → bleb1 = nobuffer, isbuf0 → synced(avol) ⊦ bleb0 = nobuffer, dups(log1), LEB_SIZE ≥ lpt2[bleb0.leb].size ∧ bleb0.leb < # lpt2 ∧ bleb0.isbuf?