Sentence examples for inference relation from inspiring English sources

Paraconsistency is a property of an inference relation whereas dialetheism is a view about truth.

Thus, if ⊨ is paraconsistent, then even if we are in certain circumstances where the available information is inconsistent, the inference relation does not explode into triviality.

Beyond the basic, definitional requirement that a paraconsistent inference relation be non-explosive, there is a huge divergence of paraconsistent logics.

In this perspective, the set of defaults, considered as a knowledge base, together with its induced inference relation is treated as an expert system.

The resulting inference relation is free from the undesirable and counterintuitive results that can be encountered in the Z-system, Lex-system or W-system.

For this purpose, we introduce the notion of stratification for a set of defaults, and prove that stratified sets are exactly those that induce a rational inference relation.

Unification is also based on information-theoretic transfer or inference relations.

Orderings and inference relations can be successfully used to model the behavior of a rational agent.

We introduce logical formalisms of production and causal inference relations based on input/output logics of Makinson and Van der Torre [J. Philos. Logic 29 (2000) 383–408].

These inference relations will be assigned, however, both standard semantics (giving interpretation to their rules), and natural nonmonotonic semantics based on the principle of explanation closure.

Specifically, we provide several theorems that show that the most useful bilattice-valued logics can actually be characterized as four-valued inference relations.