| # apebs = # wlar, q.head = eq-entry(m, lref), LEB_SIZE = n1 + n0, apebs0 = apebs, q0 = q, wlar1 = wlar, vtblpnum3 < # vols[v], bflipset-cons(bflipset, wlar), is-aligned(n0, EB_PAGE_SIZE), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ vols, n0 ≤ LEB_SIZE, n0 ≤ # buf ⊦ ∀ vtblpnum, wlar, q, apebs, err. (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err ≠ ESUCCESS → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum4) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum4)) ∧ ubi-io-inv(apebs) ∧ q.lebrefs ⊆ q0.lebrefs ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ ( err = ESUCCESS → vtblpnum < # apebs ∧ wlar[vtblpnum].status = free ∧ (apebs0 = apebs ∧ wlar1 = wlar ∧ q0 = q ∨ id○(apebs0, apebs, vtblpnum) ∧ id○(wlar1, wlar, vtblpnum) ∧ q0 = eq-entry(vtblpnum, lref) ' + q) ∧ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum4) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum4)) → ⟪vols0 := vols; if err = ESUCCESS then ubi_atomic_leb_change#(v, vtblpnum3, vtblpnum, n0, buf, EB_PAGE_SIZE; vols, wlar, q, bflipset, vtblpnum4, sqnum, apebs; err); if err ≠ ESUCCESS then debug#("ubi: change to PEB " + vtblpnum.toString + " failed")⟫ ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum4) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum4) ∧ ubi-io-inv(apebs) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err ≠ ESUCCESS → vols = vols0 ∧ id(apebs, apebs0, mapped-pebs(vols0)) ∧ q.lebrefs ⊆ q0.lebrefs) ∧ ( err = ESUCCESS → v ∈ vols0 ∧ vtblpnum3 < # vols0[v] ∧ q.lebrefs ⊆ q0.lebrefs ++ (v × vtblpnum3) ∧ (vols0[v][vtblpnum3] ≠ unmapped → id(apebs, apebs0, mapped-pebs(vols0) -- vols0[v][vtblpnum3].pnum)) ∧ (vols0[v][vtblpnum3] = unmapped → id(apebs, apebs0, mapped-pebs(vols0))) ∧ (∃ n. vols = vols0[v, vols0[v][vtblpnum3, ⌜n⌝ ]] ∧ apebs[n].data = subarray(buf, 0, n0) + mkempbuf(n1) ∧ apebs[n].fill = align↑(datasize(buf, n0), EB_PAGE_SIZE)))), VTBL_VOLID ∈ vols, vtblpnum4 ∈ q |
# apebs = # wlar, q.head = eq-entry(m, lref), LEB_SIZE = n1 + n0, vtblpnum3 < # vols[v], bflipset-cons(bflipset, wlar), id(apebs1, apebs, mapped-pebs(vols)), is-aligned(n0, EB_PAGE_SIZE), ubi-io-inv(apebs1), ubi-io-inv(apebs), 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, n0 ≤ # buf, n0 ≤ LEB_SIZE, q1.lebrefs ⊆ q.lebrefs, ¬ vtblpnum4 ∈ q, ¬ VTBL_VOLID ∈ vols, err ≠ ESUCCESS → # apebs1 = # wlar0 ∧ unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum) ∧ valid-wl(apebs1, wlar0) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar0, q1) ∧ valid-eraseq(apebs1, q1) ∧ bflipset-cons(bflipset, wlar0) ∧ valid-ebatbl(apebs1, wlar0, vols, vtblpnum4) ∧ valid-vtbl(apebs1, vols, wlar0, vtblpnum4), err = ESUCCESS → vtblpnum < # apebs1 ∧ wlar0[vtblpnum].status = free ∧ (apebs = apebs1 ∧ wlar = wlar0 ∧ q = q1 ∨ id○(apebs, apebs1, vtblpnum) ∧ id○(wlar, wlar0, vtblpnum) ∧ q = eq-entry(vtblpnum, lref) ' + q1) ∧ # apebs1 = # wlar0 ∧ unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum) ∧ valid-wl(apebs1, wlar0) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar0, q1) ∧ valid-eraseq(apebs1, q1) ∧ bflipset-cons(bflipset, wlar0) ∧ valid-ebatbl(apebs1, wlar0, vols, vtblpnum4) ∧ valid-vtbl(apebs1, vols, wlar0, vtblpnum4), err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪vols0 := vols; if err = ESUCCESS then ubi_atomic_leb_change#(v, vtblpnum3, vtblpnum, n0, buf, EB_PAGE_SIZE; vols, wlar0, q1, bflipset, vtblpnum4, sqnum, apebs1; err); if err ≠ ESUCCESS then debug#("ubi: change to PEB " + vtblpnum.toString + " failed")⟫ ( # apebs1 = # wlar0 ∧ unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum) ∧ valid-wl(apebs1, wlar0) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar0, q1) ∧ valid-eraseq(apebs1, q1) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar0) ∧ valid-ebatbl(apebs1, wlar0, vols, vtblpnum4) ∧ valid-vtbl(apebs1, vols, wlar0, vtblpnum4) ∧ ubi-io-inv(apebs1) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err ≠ ESUCCESS → vols = vols0 ∧ id(apebs1, apebs, mapped-pebs(vols0)) ∧ q1.lebrefs ⊆ q.lebrefs) ∧ ( err = ESUCCESS → v ∈ vols0 ∧ vtblpnum3 < # vols0[v] ∧ q1.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3) ∧ (vols0[v][vtblpnum3] ≠ unmapped → id(apebs1, apebs, mapped-pebs(vols0) -- vols0[v][vtblpnum3].pnum)) ∧ (vols0[v][vtblpnum3] = unmapped → id(apebs1, apebs, mapped-pebs(vols0))) ∧ (∃ n. vols = vols0[v, vols0[v][vtblpnum3, ⌜n⌝ ]] ∧ apebs1[n].data = subarray(buf, 0, n0) + mkempbuf(n1) ∧ apebs1[n].fill = align↑(datasize(buf, n0), EB_PAGE_SIZE))))