| # lpt = # avol - m5, m5 + # lpt0 = # avol, avol[0] = mapped(buf), avol[m1] = mapped(buf0), avol[m0] = mapped(buf1), avol0 = subarray(avol, m5, # lpt), sb = mksb(adr, m, m0, m1, m3, m4, m5), disk-layout(sb, # lpt0), ebm-vol-inv(subarray(avol, m5, # lpt)), ebm-vol-inv(avol), is-encoded(plog, buf1), is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(sb, buf), is-encoded(lpt0, lebs(avol, m4, lptlebs(# lpt0, LEB_SIZE))), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol, m4, lptlebs(# lpt0, LEB_SIZE)), logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟪persistence_io_add_log_leb#(m2, sb, EB_PAGE_SIZE, LEB_SIZE; logoff, avol; err)⟫ ⟨apersistence_io_add_log_leb#(m2, adr, m, avol0, lpt, orphans; plog; err0)⟩ ( # avol = m5 + (# avol - m5) ∧ avol0 = subarray(avol, m5, # avol - m5) ∧ is-encoded(plog, avol[m0].data) ∧ is-encoded(lpt, lebs(avol, m4, lptlebs(# avol - m5, LEB_SIZE))) ∧ is-encoded-pad(orphans, m3, avol[m1].data) ∧ err = err0) |
# lpt = # avol - m5, m5 + # lpt0 = # avol, avol[m0] = mapped(buf1), avol[m1] = mapped(buf0), avol[0] = mapped(buf), avol0 = subarray(avol, m5, # lpt), disk-layout(mksb(adr, m, m0, m1, m3, m4, m5), # lpt0), ebm-vol-inv(avol), ebm-vol-inv(subarray(avol, m5, # lpt)), is-encoded(lpt0, lebs(avol, m4, lptlebs(# lpt0, LEB_SIZE))), is-encoded(mksb(adr, m, m0, m1, m3, m4, m5), buf), is-encoded(lpt, lebs(avol, m4, lptlebs(# lpt, LEB_SIZE))), is-encoded(plog, buf1), is-encoded-pad(orphans, m3, buf0), mapped-full?(avol, m4, lptlebs(# lpt0, LEB_SIZE)), logoff ≠ LEB_SIZE → # buf1 = logoff ⊦ ⟪persistence_io_add_log_leb#(m2, mksb(adr, m, m0, m1, m3, m4, m5), EB_PAGE_SIZE, LEB_SIZE; logoff, avol; err)⟫ ⟨apersistence_io_add_log_leb#(m2, adr, m, avol0, lpt, orphans; plog; err0)⟩ ( # avol = m5 + (# avol - m5) ∧ avol0 = subarray(avol, m5, # avol - m5) ∧ is-encoded(plog, avol[m0].data) ∧ is-encoded(lpt, lebs(avol, m4, lptlebs(# avol - m5, LEB_SIZE))) ∧ is-encoded-pad(orphans, m3, avol[m1].data) ∧ err = err0)