[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 9 from proof inv-commit (previous step)

remove-refsize0(gstore1) = gstore1, dom remove-refsize0(gstore2) ∩ jro0 = ∅, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro2 < jmaxino, p_os < pmaxino, fi1.inos < jmaxino, fi2.inos < pmaxino, inv(gstore2 \ jro0), inv(gstore1), refsize-cons(gstore2, range fi1), refsize-cons(gstore1, range fi2), ri-inj(fi1), ri-inj(fi2), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore2, fi2.lebs ⊆ dom gstore1, fi1.lebs ⊆ dom remove-refsize0(gstore2), jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ ⟪choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; if err = ESUCCESS then jvalid := true else jvalid := ?; if err = ESUCCESS then let jro1 = jro2 in index_commit#(jmaxino, fi1, jvalid; jro1, jro0, gstore2, fi2, gstore1, nx, pmaxino, p_os; err)⟫ ( p_os < pmaxino ∧ pmaxino ≤ jmaxino ∧ fi2.inos < pmaxino ∧ pmaxino ≠ 0 ∧ (jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0)) ∧ fi1.lebs ⊆ dom gstore2 ∧ fi2.lebs ⊆ dom gstore1 ∧ refsize-cons(gstore2, range fi1) ∧ refsize-cons(gstore1, range fi2) ∧ inv(gstore2 \ jro0) ∧ inv(gstore1) ∧ elems nx ∩ jro0 = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0 ∧ remove-refsize0(gstore1) = gstore1 ∧ ri-inj(fi2)), jmaxino = 0, pmaxino = 0, dups(nx)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

Additional information