| # lpt0 = # avol, # lpt = # avol, # indx = # lax, istore[m2] = indexblock(indx, lax, m), lpt[m2] = mklp(m, m0, LP_INDEX_NODES, m1), avol[m2] = mapped(buf), keyset(gch) = gc-heap(lpt, log1), remove-refsize0(istore0) = istore0, remove-refsize0(gstore0) = gstore0, elems log1 ∩ ginval = ∅, dom gstore0 ∪ elems log1 = dom gstore ∪ ginval, m2 < # avol, ginval < # avol, abs-gstore(avol, lpt, gstore, ginval), abs-nodes(buf, indx, lax, m0 = LEB_SIZE), awbuf-inv(avol, buffered(m2)), bin-heap-inv(gch, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(istore0), inv(istore), inv(gstore0), inv(gstore \ ginval), inv(indexblock(indx, lax, m)), 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), m2 ∈ istore, # buf ≤ LEB_SIZE, istore0 ⊑ istore, m0 ≠ LEB_SIZE → m0 = # buf, isbuf → synced(avol), buffered(m2).isbuf? → buffered(m2).leb < # lpt ∧ (false ∧ lpt[buffered(m2).leb].size = LEB_SIZE ∨ lpt[buffered(m2).leb].size = # avol[buffered(m2).leb].data) ⊦ dups(log1), is-aligned(# buf, 2 * NODE_HEADER_SIZE) ∧ m0 = # buf |
# indx = # lax, # lpt = # avol, # lpt0 = # avol, avol[m2] = mapped(buf), lpt[m2] = mklp(m, # buf, LP_INDEX_NODES, m1), istore[m2] = indexblock(indx, lax, m), 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, m2 < # avol, abs-gstore(avol, lpt, gstore, ginval), abs-nodes(buf, indx, lax, # buf = LEB_SIZE), awbuf-inv(avol, buffered(m2)), bin-heap-inv(gch, lpt), flash-lpt-cons(lpt0, istore0, gstore0), freelist-cons(lpt, freelist), inv(indexblock(indx, lax, m)), inv(gstore \ ginval), inv(gstore0), inv(istore), inv(istore0), 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), m2 ∈ istore, # buf ≤ LEB_SIZE, istore0 ⊑ istore, isbuf → synced(avol) ⊦ dups(log1), is-aligned(# buf, 2 * NODE_HEADER_SIZE)
Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ mklp(n2, n3, lpf, m).size = n3; (s)% ⊦ buffered(m).leb = m; (s)% ⊦ buffered(m).isbuf?; (s)