| # apebs0 = # wlar1, # apebs2 = # wlar0, n2 + m1 = n + n0, q0.head = eq-entry(m4, lref0), LEB_SIZE = (n2 + m0) + m1, LEB_SIZE = (n0 + n) + m0, vols0[v][m] = unmapped, wlar0[vtblpnum1] = wl-entry(m5, free), apebs2[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), lref = v × m, q = q1, vtblpnum = vtblpnum1, wlar = wlar0, aehdr.valid?, vtblpnum < # wlar, n < LEB_SIZE, n < m1, vtblpnum1 < # wlar0, m < # vols0[v], bflipset-cons(bflipset, wlar1), bflipset-cons(bflipset, wlar0), id(apebs2, apebs0, mapped-pebs(vols0)), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), ubi-io-inv(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)]), ubi-io-inv(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)]), ubi-io-inv(apebs0), ubi-io-inv(apebs2), unique-sqns(apebs0), unique-sqns(apebs2), valid-ebatbl(apebs0, wlar1, vols0, vtblpnum2), valid-ebatbl(apebs2, wlar0, vols0, vtblpnum2), valid-eraseq(apebs0, q0), valid-eraseq(wlar1, q0), valid-eraseq(q0), valid-eraseq(q1), valid-eraseq(wlar0, q1), valid-eraseq(apebs2, q1), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs2, sqnum), valid-vtbl(apebs0, vols0, wlar1, vtblpnum2), valid-vtbl(apebs2, vols0, wlar0, vtblpnum2), valid-wl(apebs0, wlar1), valid-wl(apebs2, wlar0), v ∈ vols0, n + m0 ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m2 + n ≤ # buf, m1 ≤ LEB_SIZE, m1 + m2 ≤ # buf, m0 + m1 ≤ LEB_SIZE, q1.lebrefs ⊆ q0.lebrefs, ⌊err0⌋ , apebs0 = apebs2 ∧ wlar1 = wlar0 ∧ q0 = q1 ∨ id○(apebs0, apebs2, vtblpnum1) ∧ id○(wlar1, wlar0, vtblpnum1) ∧ q0 = eq-entry(vtblpnum1, lref0) ' + q1 ⊦ ⟪q := q + eq-entry(vtblpnum, lref); skip⟫ ( # apebs2 = # wlar[vtblpnum, wlar[vtblpnum].status:= erasing] ∧ unique-sqns(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)]) ∧ valid-global-sqn (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], sqnum + 1) ∧ valid-wl (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], wlar[vtblpnum, wlar[vtblpnum].status:= erasing]) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar[vtblpnum, wlar[vtblpnum].status:= erasing], q) ∧ valid-eraseq (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], q) ∧ bflipset-cons(bflipset, wlar[vtblpnum, wlar[vtblpnum].status:= erasing]) ∧ valid-ebatbl (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], wlar[vtblpnum, wlar[vtblpnum].status:= erasing], vols0, vtblpnum2) ∧ valid-vtbl(apebs2, vols0, wlar[vtblpnum, wlar[vtblpnum].status:= erasing], vtblpnum2) ∧ id (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], apebs0, mapped-pebs(vols0)) ∧ q.lebrefs ⊆ q0.lebrefs ++ (v × m)), n0 + m0 = 0, n = 0, vtblpnum2 = vtblpnum1, vtblpnum2 ∈ q1, VTBL_VOLID ∈ vols0, vtblpnum2 ∈ q0 |
# apebs2 = # wlar0, # apebs0 = # wlar1, n2 + m1 = n + n0, q0.head = eq-entry(m4, lref0), LEB_SIZE = (n0 + n) + m0, LEB_SIZE = (n2 + m0) + m1, apebs2[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar0[vtblpnum1] = wl-entry(m5, free), vols0[v][m] = unmapped, lref = v × m, q = q1, vtblpnum = vtblpnum1, wlar = wlar0, aehdr.valid?, m < # vols0[v], vtblpnum1 < # wlar0, n < m1, n < LEB_SIZE, vtblpnum < # wlar, bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar1), id(apebs2, apebs0, mapped-pebs(vols0)), is-aligned(m0, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), ubi-io-inv(apebs2), ubi-io-inv(apebs0), ubi-io-inv(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(LEB_SIZE), 0, false)]), ubi-io-inv(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)]), unique-sqns(apebs2), unique-sqns(apebs0), valid-ebatbl(apebs2, wlar0, vols0, vtblpnum2), valid-ebatbl(apebs0, wlar1, vols0, vtblpnum2), valid-eraseq(apebs2, q1), valid-eraseq(wlar0, q1), valid-eraseq(q1), valid-eraseq(q0), valid-eraseq(wlar1, q0), valid-eraseq(apebs0, q0), valid-global-sqn(apebs2, sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs2, vols0, wlar0, vtblpnum2), valid-vtbl(apebs0, vols0, wlar1, vtblpnum2), valid-wl(apebs2, wlar0), valid-wl(apebs0, wlar1), v ∈ vols0, m0 + m1 ≤ LEB_SIZE, m1 + m2 ≤ # buf, m1 ≤ LEB_SIZE, m2 + n ≤ # buf, m0 ≤ LEB_SIZE, n + m0 ≤ LEB_SIZE, q1.lebrefs ⊆ q0.lebrefs, ⌊err0⌋ , apebs0 = apebs2 ∧ wlar1 = wlar0 ∧ q0 = q1 ∨ id○(apebs0, apebs2, vtblpnum1) ∧ id○(wlar1, wlar0, vtblpnum1) ∧ q0 = eq-entry(vtblpnum1, lref0) ' + q1 ⊦ ⟪skip⟫ ( # apebs2 = # wlar[vtblpnum, wlar[vtblpnum].status:= erasing] ∧ unique-sqns(apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)]) ∧ valid-global-sqn (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], sqnum + 1) ∧ valid-wl (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], wlar[vtblpnum, wlar[vtblpnum].status:= erasing]) ∧ valid-eraseq(q + eq-entry(vtblpnum, lref)) ∧ valid-eraseq(wlar[vtblpnum, wlar[vtblpnum].status:= erasing], q + eq-entry(vtblpnum, lref)) ∧ valid-eraseq (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], q + eq-entry(vtblpnum, lref)) ∧ bflipset-cons(bflipset, wlar[vtblpnum, wlar[vtblpnum].status:= erasing]) ∧ valid-ebatbl (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], wlar[vtblpnum, wlar[vtblpnum].status:= erasing], vols0, vtblpnum2) ∧ valid-vtbl(apebs2, vols0, wlar[vtblpnum, wlar[vtblpnum].status:= erasing], vtblpnum2) ∧ id (apebs2[vtblpnum1, mkpeb(aehdr, avidhdr(v, m, sqnum, 0, 0), mkempbuf(m0) + subarray(buf, m2, n) + mkempbuf(n0), m0 + n, false)], apebs0, mapped-pebs(vols0)) ∧ (q + eq-entry(vtblpnum, lref)).lebrefs ⊆ q0.lebrefs ++ (v × m)), n0 + m0 = 0, n = 0, vtblpnum2 = vtblpnum1, vtblpnum2 ∈ q0, VTBL_VOLID ∈ vols0, vtblpnum2 ∈ q1