Logic is the study of argument. In the West, Aristotle is credited with codifying its rules but modern logic was the child of Gottlob Frege who's program of logicism attempted to reduce mathematics to ...

Propositional logic, also known as sentential logic or Boolean logic, is the branch of logic that studies ways of joining and/or modifying entire propositions, statements or sentences to form more ...

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 ...

In this lecture we complete our discussion of Dyckhoff's contraction free sequent calculus and the decision procedure for intuitionistic propositional logic it generates. We then discuss how to define ...

We attempt to define the classical propositional logic by use of appropriate derivability conditions called Cn-definitions. The conditions characterize basic properties of propositional connectives.

This is a preview. Log in through your library . Abstract We conducted a computer-based psychological experiment in which a random mix of 40 tautologies and 40 non-tautologies were presented to the ...

We begin with another example: the encoding of validity for quantified boolean formulas (QBF) in linear logic. This yields the PSPACE-hardness of the decision problem for MALL (multiplicative, ...

Abstract: As legal systems become increasingly complex and the demand for automated decision-making grows, there is a pressing need for tools that can assist legal professionals in applying legal ...