| # lpt2 = # avol, # lpt1 = # avol, keyset(gch) = gc-heap(lpt2, log0), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, dom remove-refsize0(gstore2) ∩ ginval = ∅, elems log0 ∩ ginval = ∅, dom gstore1 ∪ elems log0 = dom gstore2 ∪ ginval, ginval < # avol, abs-gstore(avol, lpt2, gstore2, ginval), abs-istore(avol, lpt2, istore2), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(true, bleb, lpt2, avol), bufs-log-only(bleb, log0, lpt2), flash-lpt-cons(lpt1, istore1, gstore1), freelist-cons(lpt2, freelist), inv(gstore2 \ ginval), inv(gstore1), inv(istore2), inv(istore1), log-group-block(log0, lpt2), lpt-free-unref(lpt1), lpt-free-unref(lpt2), lpt-leb-size(lpt1), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt1, log0), synced(avol), istore1 ⊑ istore2 ⊦ ⟨choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; ns := ns4; maxino := m0; log := log0; adr := adr3; if err = ESUCCESS then {istore2 := remove-refsize0(istore2); istore1 := istore2; gstore2 := remove-refsize0(gstore2); gstore1 := gstore2; ginval := ∅; adr := adr0; ns := ns2; log := []; maxino := m; pstate := unbuffered} else pstate := readonly; ns0 := ?⟩ ( abs-istore(avol, lpt2, istore2) ∧ abs-gstore(avol, lpt2, gstore2, ginval) ∧ adr = adr3 ∧ maxino = m0 ∧ log = log0 ∧ ginval < # avol ∧ ns = ns4 ∧ flash-lpt-cons(lpt1, istore1, gstore1) ∧ pstate = readonly ∧ ns2 = ns0 ∧ EROFS = err), dups(log0) |
# lpt1 = # avol, # lpt2 = # avol, keyset(gch) = gc-heap(lpt2, log0), remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems log0 ∩ ginval = ∅, dom remove-refsize0(gstore2) ∩ ginval = ∅, dom gstore1 ∪ elems log0 = dom gstore2 ∪ ginval, ginval < # avol, abs-gstore(avol, lpt2, gstore2, ginval), abs-istore(avol, lpt2, istore2), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(true, bleb, lpt2, avol), bufs-log-only(bleb, log0, lpt2), flash-lpt-cons(lpt1, istore1, gstore1), freelist-cons(lpt2, freelist), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval), log-group-block(log0, lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt1), lpt-leb-size(lpt2), lpt-leb-size(lpt1), lpt-ram-flash(lpt2, lpt1, log0), synced(avol), istore1 ⊑ istore2 ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; ns := ns4; maxino := m0; log := log0; adr := adr3; if err = ESUCCESS then {istore2 := remove-refsize0(istore2); istore1 := istore2; gstore2 := remove-refsize0(gstore2); gstore1 := gstore2; ginval := ∅; adr := adr0; ns := ns2; log := []; maxino := m; pstate := unbuffered} else pstate := readonly; ns0 := ?⟩ ( abs-istore(avol, lpt2, istore2) ∧ abs-gstore(avol, lpt2, gstore2, ginval) ∧ adr = adr3 ∧ maxino = m0 ∧ log = log0 ∧ ginval < # avol ∧ ns = ns4 ∧ flash-lpt-cons(lpt1, istore1, gstore1) ∧ pstate = readonly ∧ ns2 = ns0 ∧ EROFS = err), dups(log0)