[Imprint][Data Privacy Statement][E-Mail]



View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 16 from proof prepost-scan-all (previous step)

ubi-io-inv(apebs), unique-sqns(apebs) ⊦ ⟪wlar := fill(mkwlarray(# apebs), wl-entry(0, free)); recs := ∅; bflipset := ∅; vtblpnum2 := 0; vtblpnum1 := 0; nx := []; q := []; sqnum := 0; err := ESUCCESS; vtblpnum3 := LEB_SIZE; vtblpnum0 := 0; while vtblpnum0 < # apebs ∧ err = ESUCCESS do {/* (prepost-scan-all: invariant scan-all-inv(vtblpnum0, apebs, recs, wlar, q, bflipset, nx, sqnum, err) wfbound # apebs - vtblpnum0) */; let isbad = ? in {aubi_io_isbad#(vtblpnum0, apebs; ; isbad, err); if err = ESUCCESS then if isbad then wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, erroneous) else let aehdr = ?, bitflips = ? in {aubi_io_read_echdr#(vtblpnum0, apebs; aehdr; bitflips, err); if err = ESUCCESS then if ¬ aehdr.valid? then {nx := vtblpnum0 ' + nx; wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, erasing); q := q + eq-entry(vtblpnum0, none) '} else let avhdr = ? in {vtblpnum2 := vtblpnum2 + 1; vtblpnum1 := vtblpnum1 + aehdr.ec; wlar[vtblpnum0].ec := aehdr.ec; aubi_io_read_vidhdr#(vtblpnum0, apebs; avhdr; bitflips, err); if err = ESUCCESS then if avhdr = empty then if bitflips then {wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, erasing); q := q + eq-entry(vtblpnum0, none) '} else wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, free) else if avhdr.valid? then let buf = mkbuf(vtblpnum3) in {if avhdr.size ≠ 0 then let boolvar = ? in {aubi_io_read_data#(vtblpnum0, 0, 0, vtblpnum3, apebs; buf; boolvar, err); bitflips := bitflips ∨ boolvar}; if err = ESUCCESS then let ladr = avhdr.vol × avhdr.leb, n = 0 in {if ladr ∈ recs then n := recs[ladr].sqn; if avhdr.size ≠ 0 → avhdr.size ≤ datasize(buf) ∧ avhdr.checksum = checksum(buf, avhdr.size) then {sqnum := max(sqnum, avhdr.sqn + 1); if n ≤ avhdr.sqn then {wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, used); if bitflips then bflipset := bflipset ++ vtblpnum0; if ladr ∈ recs then let vtblpnum = recs[ladr].pnum in {bflipset := bflipset -- vtblpnum; wlar[vtblpnum] := wl-entry(wlar[vtblpnum].ec, erasing); q := q + eq-entry(vtblpnum, avhdr.vol × avhdr.leb) '}; recs[ladr] := recovery-entry(vtblpnum0, avhdr.sqn)} else {wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, erasing); q := q + eq-entry(vtblpnum0, ladr.vol × ladr.leb) '}} else {wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, erasing); q := q + eq-entry(vtblpnum0, none) '}}} else {wlar[vtblpnum0] := wl-entry(wlar[vtblpnum0].ec, erasing); q := q + eq-entry(vtblpnum0, none) '}}}; vtblpnum0 := vtblpnum0 + 1}}⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err = ESUCCESS → # apebs = # wlar ∧ ¬ dups(nx) ∧ nx < # apebs ∧ indices-erasing(wlar, nx) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-eraseq(wlar, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-eraseq-stronger(apebs, q) ∧ valid-wl(apebs, wlar) ∧ valid-recs-sqns(apebs, recs) ∧ valid-recs(apebs, wlar, recs)))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information