Sentence examples for order logic for from inspiring English sources

Propositional functions of type are often called "first order"; hence the name "first order logic" for the familiar logic where the variables only range over arguments of first order functions.

Second-order logic, for example, is not axiomatizable on its most natural interpretation.

In the usual formulations of first-order logic, for instance, there are "existential presuppositions" present to the effect that none of the singular terms employed is without a bearer (as "Pegasus" is).

Instead of mining frequent itemsets from customer transactions, the new algorithm discovers new neurofuzzy agents and mines agent associations in first-order logic for coordination that was once considered impossible in traditional data mining.

This paper surveys the virtues of simple type theory and attempts to show that simple type theory is an attractive alternative to first-order logic for practical-minded scientists, engineers, and mathematicians.

Using first-order logic for specifying formal semantics, the output relation can be seen as a set of (ground) sentences obtained from the query formula by suitable substitutions of free variables by constants.

It featured a KB of axioms (in first-order logic) for 128 important physical laws, manually coded with the aid of a reference text.

We take up clausal logic here and assume that the reader is familiar with the rudiments of first-order logic; for the typed λ-calculus the reader may want to check Church 1940.

(By the completeness theorem for first-order logic, for which see the entry on classical logic, a theory is complete if and only if it is maximal syntactically consistent).

We answer a wide range of control problems for nondeterministic discrete-event systems, relying on recent works based on a second order logic approach for deterministic systems.

(We can ignore the unhelpful 'Something exists' which is allowed by standard first order logic purely for convenience as few would need to apply logic to discourse about an empty universe for which in any case there are separate rules for determining validity or otherwise).