Sentence examples for proof of the completeness from inspiring English sources

This completes the proof of the completeness of ( A, D ).

Gödel's original proof of the completeness theorem is closely related to the second proof above.

There has been outlined above a proof of the completeness of elementary logic without including sentences asserting identity.

Thus this proof of the Completeness Theorem gives also the Löweheim-Skolem Theorem (see below).

The proof of the completeness of (T_1) is divided into four steps and similarly we can prove that (T_2) is completely continuous.

See, e.g., ([4] Appendix A) for the proof of the completeness and see, e.g., [1,2] for details of the Lipschitz distance.

Here, we address this issue by presenting a mathematical proof for the completeness and soundness of the loopless-COBRA method, thereby adding fundamental support and rigorous proof for the constraints presented by Schellenberger et al. [ 17].

We give a proof of the asymptotic completeness of the dynamics in the case of massive fermions.

We give a new proof of the asymptotic completeness in the finite energy and conformal charge space for n=ρ=3.

Segerberg showed that GL is complete even with respect to the more restricted class of finite transitive irreflexive trees, a fact which later turned out to be very useful for Solovay's proof of the arithmetical completeness theorem (see Section 4).

The proof of the NP-completeness of the STRONGLY CHORDAL- 1,1) follows from Proposition 1. □.