Sentence examples for constructing proof from inspiring English sources

These results provide a strong case for constructing proof trees in a backwards fashion; indeed, by working this way a refutation in cut-free LK gets increasingly simpler as it progresses since subformulas are simpler than their parent formulas.

Protocol verification involves searching for attacks on protocols, or constructing proofs that no attacks exist.

Indeed, the provable security approach should be taken when designing PAKEs; and furthermore our results highlight that extra cautions still be exercised when defining models and constructing proofs in this direction.

Immersions are nonetheless a useful conceptual stepping stone for constructing proofs about embeddings, since all embeddings are necessarily immersions.

"Inelegant" describes a poorly constructed proof in mathematics.

Hierarchy constructors are defined in the type system to construct proof terms capturing hierarchical structure.

In order to make the writing of complex proofs easier, Coq provides tactics, which are commands that can be used to construct proof terms in a more user friendly way.

As shown in Figure 1, WS can catalyze the formation of FAEEs (as in biodiesel) from ethanol and fatty acyl-CoA, and here this strategy was used to construct proof of principle biodiesel microbial cell factories that could ultimately form the basis for large-scale commercial biodiesel production and result in a fully sustainable fuel [ 3, 16, 23].

Starting with infinite series expansions for sine, cosine, and π that had been introduced into China (without, however, knowledge of the calculus used to derive these series), Minggantu constructed proofs for these formulas and also derived series for some of the inverse trigonometric functions (arc sine and arc cosine).

The creative subject was conceived as a kind of idealized mathematician for whom time is divided into discrete sequential stages, during each of which he may test various propositions, attempt to construct proofs, and so on.

The major effort in constructing this proof was uncovering a chain of conceptual links between various fields and viewing them through a common lens".