[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 4 from proof inv-store (previous step)

gstore[adr] = mkgnode(nd, m, boolvar, boolvar0), fi1 = fi, gstore1 = gstore, remove-refsize0(gstore0) = gstore0, elems nx ∩ jro0 = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro0, fi0.inos < pmaxino, fi.inos < jmaxino, p_os < pmaxino, jro < jmaxino, inv(gstore0), inv(gstore \ jro0), key-cons(key, nd), refsize-cons(gstore0, range fi0), refsize-cons(gstore, range fi), ri-inj(fi0), ri-inj(fi), adr ∈ gstore, pmaxino ≤ jmaxino, fi0.lebs ⊆ dom gstore0, fi.lebs ⊆ dom gstore, jvalid ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0) ⊦ ⟪gjournal_index_store#(key, adr, fi0, jro0, gstore0, nx, pmaxino, p_os, jvalid0; jmaxino, fi, gstore)⟫ ( jro < jmaxino ∧ pmaxino ≤ jmaxino ∧ fi1.inos ∪ (key.inode? ⊃ ∅ ++ key.ino;∅) < jmaxino ∧ jmaxino ≠ 0 ∧ (jvalid ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0)) ∧ fi1[key, adr].lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi1[key, adr]) ∧ inv(gstore \ jro0) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ jro0 ∧ ri-inj(fi1[key, adr]) ∧ gstore =○refsize gstore1 ∧ fi = fi1[key, adr]), jmaxino = 0, pmaxino = 0, dups(nx), adr ∈ fi

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information