[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 120 from proof inv-store (previous step)

jvalid ↔ jvalid0, gstore3[@(m0, m1, m2)] = mkgnode(nd, m, boolvar, boolvar0), gstore3[m0] = groupblock(gndx, lax, m3), fi = fi1, fi0 = fi2[key, @(m0, m1, m2)], gstore = gstore3, gstore0 = gstore2, gstore1 = gstore3, jro = jro0, lnum = m0, n = m3 + m2, remove-refsize0(gstore2) = gstore2, elems nx ∩ jro0 = ∅, dom gstore2 ∪ elems nx = dom gstore3 ∪ jro0, jro1 < jmaxino, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore3 \ jro0), inv(gstore2), key-cons(key, nd), refsize-cons(gstore3, range fi2), refsize-cons(gstore2, range fi1), ri-inj(fi2), ri-inj(fi2[key, @(m0, m1, m2)]), ri-inj(fi1), @(m0, m1, m2) ∈ gstore3, m0 ∈ gstore3, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore3, fi1.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore3, jro0) ⊦ [if lnum ∈ gstore then gstore[lnum].ref-size := n else abort] ( inv(gstore \ jro0) ∧ dom gstore2 ∪ elems nx = dom gstore ∪ jro0 → ⟪jmaxino := max(key.ino + 1, jmaxino)⟫ ( jro1 < jmaxino ∧ pmaxino ≤ jmaxino ∧ fi2.inos ∪ (key.inode? ⊃ ∅ ++ key.ino;∅) < jmaxino ∧ jmaxino ≠ 0 ∧ (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0)) ∧ fi2.lebs ++ m0 ⊆ dom gstore ∧ refsize-cons(gstore, range fi2 ++ @(m0, m1, m2)) ∧ gstore =○refsize gstore1)), jmaxino = 0, pmaxino = 0, dups(nx), @(m0, m1, m2) ∈ fi2, key ∈ fi2

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Rule argument

Additional information