—also called predicate logic, predicate calculus, quantificational logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses ...

Propositional logic includes sentence letters (A, B, C, etc), which are assigned truth values, and logical connectives (AND, OR, NOT, IMPLICATION, EQUIVALENCE), but not quantifiers. This is also ...

This is a preview. Log in through your library . Abstract We prove the following surprising property of Heyting's intuitionistic propositional calculus, IpC. Consider the collection of formulas, φ, ...

An introduction to symbolic logic. Symbolic logic provides a framework of formal reasoning with applications in mathematics, cognitive science, computer science and philosophy. Topics include ...

We investigate and classify the notion of final derivability of two basic inconsistency-adaptive logics. Specifically, the maximal complexity of the set of final consequences of decidable sets of ...

The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to establishing ...