We have seen that the language of propositional logic allows us to build up expressions from propositional variables A, B, C, \ldots using propositional connectives like \to, \wedge, \vee, and \neg.

Natural Deduction for Propositional Logic Reflecting on the arguments in the previous chapter, we see that, intuitively speaking, some inferences are valid and some are not. For example, if, in a ...

For a sneak preview of CS 313H, take a look at the class website. One of the things you'll find there is the email address of the 313H teaching assistant, Brittany Middleton. She is happy to answer ...

Studia Logica: An International Journal for Symbolic Logic, Vol. 42, No. 2/3, Proceedings of the Finnish-Polish-Soviet Logic Conference (1983), pp. 173-177 (5 pages) We prove that each proper ideal in ...

Studia Logica: An International Journal for Symbolic Logic, Vol. 48, No. 4 (1989), pp. 449-459 (11 pages) We prove that the intuitionistic sentential calculus is Ł-decidable (decidable in the sense of ...

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 ...

Abstract: Classical logic is usually interpreted as the logic of propositions. But from Boole's original development up to modern categorical logic, there has always been the alternative ...

ABSTRACT: Based on the analysis of the properties of Γ-conclusion by means of deduction theorems, completeness theorems and the theory of truth degree of formulas, the present papers introduces the ...