[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 55 from proof refine-write (previous step)

# apebs = # wlar, avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n1⌝ , apebs[n1] = mkpeb(aehdr, avhdr, buf2, m0, false), n ≠ 0, avhdr.valid?, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], n1 < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, m ≤ vtblpnum5, n0 + n ≤ # buf, n + n0 ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE, m0 ≤ vtblpnum5, ¬ VTBL_VOLID ∈ vols ⊦ ⟪aubi_io_write_data#(vols[v][vtblpnum3].pnum, vtblpnum5, n0, n, buf; apebs; err); if err ≠ ESUCCESS then {debug#("ubi: failed to write to PEB " + vols[v][vtblpnum3].pnum.toString); let buf1 = mkbuf(vtblpnum5 + n), bitflips = ? in {aubi_io_read_data#(vols[v][vtblpnum3].pnum, 0, 0, vtblpnum5, apebs; buf1; bitflips, err); if err = ESUCCESS then {buf1 := copy(buf, n0, buf1, vtblpnum5, n); debug#("ubi: moving data from PEB " + vols[v][vtblpnum3].pnum.toString); ubi_change#(v, vtblpnum3, vtblpnum5 + n, buf1, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum4, sqnum, apebs; err)} else debug#("ubi: failed to read data from PEB " + vols[v][vtblpnum3].pnum.toString)}}⟫ ⟨ebm_write#(v, vtblpnum3, vtblpnum5, n0, n, buf; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: ubi-asm name: prepost-io-write-data seq: ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1), ubi-io-inv(apebs), n < # apebs, is-aligned(m0, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), apebs[n].fill ≤ m0, m0 + m2 ≤ LEB_SIZE, m1 + m2 ≤ # buf, wlar[n].status = used, n0 ≠ n ⊦ ⟪aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)⟫ ( ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ∧ ubi-io-inv(apebs)) subst: [buf, m2, m1, m0, n, apebs, err, vols, wlar, q, bflipset, n0, n1] → [buf, n, n0, vtblpnum5, vols[v][vtblpnum3].pnum, apebs, err, vols, wlar, q, bflipset, vtblpnum4, sqnum] flags: <all paths>

Additional information