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 ...

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 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: We describe a new formalism and special proof methods for a novel generalization of propositional logic, which is especially suitable for solving the satisfiability problem (SAT). A ...

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 ...

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 ...