Catalog description: Introduction to deductive logic. Topics include: basic concepts of deductive logic; techniques of formal proof in propositional and predicate logic. 3 units. Prerequisites: No ...

This article, the second in a series of three, deals with the classical logics which will give rise to mathematical logic at the end of the 19th century. The logic of propositions is first presented, ...

Predicate logic Definition (first-order predicate logic). First-order predicate logic or sentential logic or statement logic is a branch of logic that deals with quantified variables, so that rather ...

We study predicate logic that is interpreted in Kripke models similarly to intuitionistic logic except that the accessibility relation of each model is not necessarily reflexive. Unlike in ...

But until now only methods yielding completeness results for propositional languages have been developed. In view of philosophical applications, analogous results with respect to languages of ...

This field harnesses formal logics – from classical propositional and predicate logics to nonmonotonic frameworks such as answer set programming – to enable rigorous inference, update, and ...

This paper looks into the writings of Jürgen Rödig (1942–1975) on legal logic with the aim of identifying those results which still appear to be essential contributions to legal theory. Of particular ...

The paper introduces a predicate version of two-layered fuzzy probability logic, extending the known propositional probability logic based on the infinite-valued logic of Lukasiewicz. The proposed ...