| # lpt = # avol, adr = adr0, m = m2, m1 = m3, ns = ns0, nx = nx0, awbuf-inv(avol, bleb), synced(avol0), avol0 ↓ avol, bleb = buffered(m3) ∨ (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟨if bleb = buffered(m1) ∨ (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m1 < # avol ∧ avol[m1].mapped? ∧ m0 = # avol[m1].data then {fail_or_success#(; ; err); if err = ESUCCESS then bleb := buffered(m1)} else abort⟩ true |
# lpt = # avol, adr = adr0, m = m2, m1 = m3, ns = ns0, nx = nx0, awbuf-inv(avol, bleb), synced(avol0), avol0 ↓ avol, bleb ≠ buffered(m1) → (bleb ≠ nobuffer → avol[bleb.leb].mapped? ∧ bleb.leb < # avol ∧ bleb.isbuf?) ∧ ( bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE) → m1 < # avol → m1 < # avol ∧ (avol[m1].mapped? → avol[m1].mapped? ∧ m1 < # avol)), bleb = buffered(m1) ∨ (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m1 < # avol ∧ avol[m1].mapped? ∧ m0 = # avol[m1].data, bleb = buffered(m3) ∨ (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then bleb := buffered(m1)⟩ true
# lpt = # avol, adr = adr0, m = m2, m1 = m3, ns = ns0, nx = nx0, awbuf-inv(avol, bleb), synced(avol0), avol0 ↓ avol, bleb ≠ buffered(m1) → (bleb ≠ nobuffer → avol[bleb.leb].mapped? ∧ bleb.leb < # avol ∧ bleb.isbuf?) ∧ ( bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE) → m1 < # avol → m1 < # avol ∧ (avol[m1].mapped? → avol[m1].mapped? ∧ m1 < # avol)), bleb = buffered(m3) ∨ (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟨abort⟩ true, bleb = buffered(m1), (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m1 < # avol ∧ avol[m1].mapped? ∧ m0 = # avol[m1].data
# lpt = # avol, adr = adr0, m = m2, m1 = m3, ns = ns0, nx = nx0, awbuf-inv(avol, bleb), synced(avol0), avol0 ↓ avol, bleb = buffered(m3) ∨ (bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE)) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ bleb = buffered(m1), (bleb ≠ nobuffer → avol[bleb.leb].mapped? ∧ bleb.leb < # avol ∧ bleb.isbuf?) ∧ ( bleb = nobuffer ∨ is-aligned(# avol[bleb.leb].data, EB_PAGE_SIZE) → m1 < # avol → m1 < # avol ∧ (avol[m1].mapped? → avol[m1].mapped? ∧ m1 < # avol))