Sentence examples for consequence relation from inspiring English sources

These two ways of defining a supraclassical consequence relation are intimately related, but we will verify below that they do not coincide in all cases.

Preference semantics raises an opportunity for formulating and proving representation theorems relating conditions over preference relations to properties of the abstract consequence relation.

Let ⊢ be the classical consequence relation.

A preferential consequence relation that satisfies Rational Monotonicity is called a rational consequence relation.

A consequence relation, called forcing, [⊢, is defined as follows.

where Cn is the consequence relation of CL.

Any consequence relation that fails this condition is nonmonotonic.

The resulting defeasible consequence relation is a preferential relation.

Hence the linear logical consequence relation is resource-sensitive.

A consequence relation is a mathematical relation that models what follows logically from what.

Thus a congruential consequence relation is one for which any equivalent formulas are synonymous.