[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 18 from proof inv-io-save (previous step)

zh[r] = mkznode(r0, zbrar, boolvar, true, m0), adr = adr0, ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, gstore3 = gstore2, ind = save(mkznode(r0, zbrar, boolvar, true, m0)), istore = istore2, istore0 = istore3, istore1 = istore3, maxino = maxino0, pstate = index(m), pstate0 = index(m), remove-refsize0(gstore1) = gstore1, remove-refsize0(istore2) = istore2, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, ((btree(rp, r, adr1, height, dirty, ri, nodes(istore3), as, alladrs, ok) * P))(zh), btree-sub-clean(r, m0, zh), inv(gstore2 \ ginval2), inv(gstore1), inv(istore3), inv(istore2), refsize-cons(istore3, as0 ∪ as), r ∈ zh, m ∈ istore3, n ≤ LEB_SIZE, as0 ⊆ dom nodes(istore3), alladrs ⊆ dom nodes(istore3), as ⊆ dom nodes(istore3), as ⊆ alladrs, istore2 ⊑ istore3, height = 0 → as = ∅ ⊦ ⟪if n < ind.flashsize then {apersistence_sync#(adr0, istore3, istore2, ginval2, gstore0, gstore1, nx, maxino0, ginval; pstate, syn; err); if err = ESUCCESS then apersistence_allocate_ind#(adr0, istore2, ginval2, gstore0, gstore1, nx, maxino0, ginval, syn; istore3, pstate; err)} else err := ESUCCESS; adr := adr1; if err = ESUCCESS then {apersistence_add_ind#(ind, adr0, istore2, ginval2, gstore0, gstore1, nx, maxino0, ginval; adr, istore3, pstate, syn; err); if err = ESUCCESS then let maxino = 0 in {apersistence_get_iblock_refsize# (adr.lnum, adr0, istore3, istore2, ginval2, gstore0, gstore1, nx, maxino0, ginval, pstate, syn; ; maxino); apersistence_set_iblock_refsize# (adr.lnum, maxino + adr.size, adr0, istore2, ginval2, gstore0, gstore1, nx, maxino0, ginval, pstate, syn; istore3)}}; if err = ESUCCESS then zh[r].dirty := false⟫ ( refsize-cons(istore3, as0 ∪ (err = ESUCCESS ⊃ as ++ adr;as)) ∧ inv(istore3) ∧ istore2 ⊑ istore3 ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2) ∧ (pstate.index? → pstate.lnum ∈ istore3) ∧ (pstate = unbuffered → syn) ∧ istore1 ⊑ istore3 ∧ r ∈ zh ∧ (err = ESUCCESS → ¬ adr ∈ as) ∧ dom nodes(istore3) = dom nodes(istore1) ∪ (err = ESUCCESS ⊃ ∅ ++ adr;∅) ∧ (err = ESUCCESS → ¬ adr ∈ istore1) ∧ (( btree (rp, r, (err = ESUCCESS ⊃ adr;adr1), height, err ≠ ESUCCESS, ri, nodes(istore3), (err = ESUCCESS ⊃ as ++ adr;as), (err = ESUCCESS ⊃ (alladrs -- adr1) ++ adr;alladrs), ok) * P) )(zh) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → pstate.index? ∧ ¬ zh[r].dirty)), dups(nx), adr1 ∈ as

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

Additional information