Sentence examples for concise proofs from inspiring English sources

This allowed us to give concise proofs of type soundness, erasure and simulation theorems.

This section presents concrete mathematical analysis results on unique existence and comparative statics on τ * with concise proofs.

Their formulation and presentation of the trust (lambda )-calculus adopt a small-step semantics and a Church style type system, supporting concise proofs of type soundness, erasure and simulation theorems.

Proof We give only a concise proof.

gThis concise proof is based on Uzawa's proof.

Proof We give again only a concise proof.

A concise proof of the First Theorem can also be found in [38].

As we use the eigenvalues in the sequel, we present a concise proof.

In Section 4, we give a concise proof for an L p extension of Theorem 1 of [15].

In the following, we will give a concise proof for the multiplicity of T-periodic solutions independent of Theorem 4.2.

To provide a concise proof, the following brief graph-theoretical summary of the problem defined in Definition 1 is used.