[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 179 from proof inv-commit (previous step)

zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), zh[rp] = mkznode(r, zbrar, boolvar, true, m), istore2[m0] = indexblock(indx, lax, m3), err1 = ESUCCESS, err1 = err, ginval0 = ginval4, gstore = gstore1, gstore0 = gstore2, istore = istore1, istore0 = remove-refsize0(istore2), nx = [], remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, dom remove-refsize0(gstore2) ∩ ginval4 = ∅, elems nx0 ∩ ginval4 = ∅, dom gstore1 ∪ elems nx0 = dom gstore2 ∪ ginval4, btree-inv(rp, adr, istore2[m0, indexblock(indx, lax, m3 - m2)], istore1, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri, fi), btree-inv(rp, @(m0, m1, m2), istore2, istore2, zh0, ri, ri), btree-inv(rp, adr, istore3, istore1, zh, ri, fi), btree-inv(rp, adr, istore3[n, indexblock([], [], 0)], istore1, zh, ri, fi), inv(istore2), inv(gstore2 \ ginval4), inv(gstore1), inv(istore3), inv(istore1), inv(istore3[n, indexblock([], [], 0)]), rp ∈ zh, istore3[n, indexblock([], [], 0)] ⊑ istore2, istore1 ⊑ istore3, istore1 ⊑ istore3[n, indexblock([], [], 0)], istore1 ⊑ istore2, pstate1.journal? → nx0 ≠ [] ∧ pstate1.lnum = nx0.last ∧ pstate1.lnum ∈ gstore2, pstate1.index? → pstate1.lnum ∈ istore2, ⌊err⌋ ∨ err = ESUCCESS ⊦ [ginval0 := ?] ( inv(remove-refsize0(gstore0) \ ∅) ∧ inv(remove-refsize0(gstore0)) ∧ elems nx ∩ ∅ = ∅ ∧ ¬ dups(nx) ∧ dom remove-refsize0(gstore0) ∪ elems nx = dom remove-refsize0(gstore0) ∪ ∅ ∧ remove-refsize0(remove-refsize0(gstore0)) = remove-refsize0(gstore0) ∧ inv(istore0) ∧ inv(istore0) ∧ istore0 ⊑ istore0 ∧ remove-refsize0(istore0) = istore0 ∧ (unbuffered.journal? → nx ≠ [] ∧ unbuffered.lnum = nx.last ∧ unbuffered.lnum ∈ remove-refsize0(gstore0)) ∧ (unbuffered.index? → unbuffered.lnum ∈ istore0) → ⟪adr0 := @(m0, m1, m2); syn1 := true; pstate1 := unbuffered, maxino2 := maxino0, gstore1 := remove-refsize0(gstore0), gstore2 := remove-refsize0(gstore0), ginval4 := ∅, istore1 := istore0; if err1 = ESUCCESS then adr := @(m0, m1, m2) else if true then {zh0[rp].dirty := true; let maxino = 0 in {apersistence_get_iblock_refsize# (m0, adr0, istore0, istore1, ginval4, gstore2, gstore1, nx, maxino2, ginval1, pstate1, syn1; ; maxino); apersistence_set_iblock_refsize# (m0, maxino - m2, adr0, istore1, ginval4, gstore2, gstore1, nx, maxino2, ginval1, pstate1, syn1; istore0)}}⟫ ( (∃ ri, fi. btree-inv(rp, adr0, istore0, istore1, zh0, ri, fi)) ∧ inv(istore0) ∧ istore1 ⊑ istore0 ∧ (pstate1.journal? → nx ≠ [] ∧ pstate1.lnum = nx.last ∧ pstate1.lnum ∈ gstore2) ∧ (pstate1.index? → pstate1.lnum ∈ istore0) ∧ (pstate1 = unbuffered → syn1))), pstate1 = readonly, pstate1 = unbuffered, dups(nx0), n ∈ istore3

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information