Sentence examples for pair of formulas from inspiring English sources

If a contrary pair of formulas is defined as a pair of formulas that cannot both be true but can both fail to be true, Kleene negation gives rise to contrary pairs.

A famous example of a pair of formulas that have no common instance is A → A and A → A → B.

Therefore, it is important to note that the situations are not maximally consistent theories, rather they are theories possessing the property that for any pair of formulas they contain a formula that implies both of them.

Notice that it is always possible to choose substitution instances of a pair of formulas so that the sets of their propositional variables are disjoint, because formulas are finite objects.

Look at the pair of formulas as a transform, rather than as a series expansion.

Equations 169 and 173 exactly match with the results obtained in[14], known as Hilbert's pair of formulae.

A full theoretical description of machines mounted at multiple points requires the evaluation of many terms, but the method can be simplified to yield a pair of formulae, one giving the mean emission and the other the standard deviation.

These pairs of formulas are not logically equivalent in intuitionistic propositional logic (IPL).

A Hilbert consequence relation is a relation between pairs of formulas, a Tarski relation is a relation between sets of formulas (possibly infinite) and individual formulas, and a Scott relation is a relation between two sets of formulas.

Based on an example from the domain of pervasive computing, we show how a system undergoing reconfigurations can be verified to satisfy a global assume-guarantee contract expressed as a pair of reMitl formulas.

Their technique is based on the compilation of a propositional formula into a pair of Horn formulae: a Horn Greatest Lower Bound (GLB) and a Horn Least Upper Bound (LUB).