[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 25 from proof refine-read-gnd (previous step)

remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr1, istore2, istore1, zh, fi2, fi1), inv(gstore0 \ ginval0), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi2), ri-inj(fi1), @(m, m0, m1) ∈ gstore0, istore1 ⊑ istore2, ¬ dups(nx0), ¬ m ∈ ginval0, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0, pstate.index? → pstate.lnum ∈ istore2, pstate = unbuffered → syn0 ⊦ ⟨err := ESUCCESS; if err = ESUCCESS then gnd := gstore0[@(m, m0, m1)] else gnd := ?⟩ (gstore0[@(m, m0, m1)] = gnd ∧ ESUCCESS = err)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 26:
err = ESUCCESS, remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr1, istore2, istore1, zh, fi2, fi1), inv(istore1), inv(istore2), inv(gstore2), inv(gstore0 \ ginval0), ri-inj(fi1), ri-inj(fi2), @(m, m0, m1) ∈ gstore0, istore1 ⊑ istore2, pstate = unbuffered → syn0, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0 ⊦ ⟨if err = ESUCCESS then gnd := gstore0[@(m, m0, m1)] else gnd := ?⟩ (gstore0[@(m, m0, m1)] = gnd ∧ ESUCCESS = err), dups(nx0), m ∈ ginval0

Proof step 25 from proof refine-read-gnd (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information