| # lpt0 = # avol, # lpt = # avol, # gndx1 = # lax0, # buf1 = 2 * NODE_HEADER_SIZE + gnd2.alignedsize, # gndx0 = # lax1, avol[m0] = mapped(buf0 + buf1 + buf2), gstore[m0] = groupblock(gndx0 + gnd2 ' + gndx1, lax1 + @(# buf0, # buf1) ' + lax0, m3), lpt[m0] = mklp(m3, m4, LP_GROUP_NODES, m5), gnd = gnd0, keyset(gch) = gc-heap(lpt, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, m0 < # avol, ginval < # avol, abs-istore(avol, lpt, istore), abs-node(buf1, gnd2), abs-nodes(buf0 + buf1 + buf2, gndx0 + gnd2 ' + gndx1, lax1 + @(# buf0, # buf1) ' + lax0, m4 = LEB_SIZE), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate = readonly, bleb, lpt, avol), bufs-log-only(bleb, log1, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(groupblock(gndx0 + gnd2 ' + gndx1, lax1 + @(# buf0, # buf1) ' + lax0, m3)), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), log-group-block(log1, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log1), m0 ∈ gstore, istore0 ⊑ istore, pstate = unbuffered → isbuf, pstate.index? → pstate.lnum ∈ istore, pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate = unbuffered → bleb = nobuffer, isbuf → synced(avol), m4 ≠ LEB_SIZE → m4 = # buf0 + # buf1 + # buf2 ⊦ ∀ gnd, err. (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → gnd2 = gnd) → ⟨apersistence_read_gnd# (@(m0, # buf0, # buf1), adr1, istore, istore0, ginval, gstore, gstore0, log1, m, ns0, pstate, isbuf; gnd0; err0)⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ gnd = gnd0 ∧ err = err0), dups(log1), m0 ∈ ginval |
# gndx0 = # lax1, # buf1 = 2 * NODE_HEADER_SIZE + gnd2.alignedsize, # gndx1 = # lax0, # lpt = # avol, # lpt0 = # avol, lpt[m0] = mklp(m3, m4, LP_GROUP_NODES, m5), gstore[m0] = groupblock(gndx0 + gnd2 ' + gndx1, lax1 + @(# buf0, # buf1) ' + lax0, m3), avol[m0] = mapped(buf0 + buf1 + buf2), keyset(gch) = gc-heap(lpt, log1), remove-refsize0(gstore0) = gstore0, remove-refsize0(istore0) = istore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, ginval < # avol, m0 < # avol, abs-istore(avol, lpt, istore), abs-node(buf1, gnd2), abs-nodes(buf0 + buf1 + buf2, gndx0 + gnd2 ' + gndx1, lax1 + @(# buf0, # buf1) ' + lax0, m4 = LEB_SIZE), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(pstate = readonly, bleb, lpt, avol), bufs-log-only(bleb, log1, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), inv(groupblock(gndx0 + gnd2 ' + gndx1, lax1 + @(# buf0, # buf1) ' + lax0, m3)), log-group-block(log1, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log1), m0 ∈ gstore, istore0 ⊑ istore, ¬ dups(log1), ¬ m0 ∈ ginval, err = ESUCCESS → gnd2 = gnd1, m4 ≠ LEB_SIZE → m4 = # buf0 + # buf1 + # buf2, isbuf → synced(avol), pstate = unbuffered → bleb = nobuffer, pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum), pstate.journal? → log1 ≠ [] ∧ pstate.lnum = log1.last ∧ pstate.lnum ∈ gstore, pstate.index? → pstate.lnum ∈ istore, pstate = unbuffered → isbuf, err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟨apersistence_read_gnd#(@(m0, # buf0, # buf1), adr1, istore, istore0, ginval, gstore, gstore0, log1, m, ns0, pstate, isbuf; gnd0; err0)⟩ ( (isbuf → synced(avol)) ∧ (pstate = unbuffered → bleb = nobuffer) ∧ (pstate ≠ unbuffered ∧ pstate ≠ readonly → bleb = buffered(pstate.lnum)) ∧ gnd1 = gnd0 ∧ err = err0)