Sentence examples for structure of proofs from inspiring English sources

Many difficult research results in logic become just exercises through the control over the structure of proofs that the G3-calculi permit.

Exploiting the hierarchical structure of proofs as done in (Denney 2006) is a step in this direction but more work along these lines is needed.

It is the specification of these clerks and experts that provide a formal definition of the structure of proof evidence.

The classical proofs are intuitionistically not acceptable because of the way they depend on PEM; the intuitionistic proofs are classically not acceptable because they depend on reflection on the structure of mental proofs.

Proof theory can be described as the study of the general structure of mathematical proofs, and of arguments with demonstrative force as encountered in logic.

For Gentzen, the aims were, along with those of Hilbert, to understand the structure of mathematical proofs.

Their argument for this reading is based on Vasubandhu's argumentative strategy rather than the logical structure of individual proofs.

For completeness and self-contained structure of the proofs of Theorems 1.1 and 1.2, we need the following result of [13].

And various physical theories can be objectively compared with respect to the structure of the proofs they contain.

The structure of the proof is similar to proof of the previous lemma: if there is a solution to a graph with cycles, then one can solve the well-known set agreement problem [14], which has been proved to be unsolvable (see [21]).

Intuitively, y is a concrete analogue of the abstract notion of a construction constituting the meaning of F. The proof is by induction on the structure of the proof of F in intuitionistic first order arithmetic.