A presentation is provided of a structural approach for the concur rent teaching of introductory propositional calculus and set theory. The existence of isomorphism is shown between each law (or ...

Abstract: We define a tableau calculus for solving the Maximum Satisfiability problem of regular propositional logic (Regular MaxSAT), and prove that the proposed calculus is sound and complete.

One of the ways that Pi Mu Epsilon promotes scholarship in mathematics is through the publishing of the Pi Mu Epsilon Journal. The sole purpose of this journal is to present papers and mathematical ...

The idea of this experiment was to learn an embedding of propositional logic expressions wherein applying its axioms is differentiable. In line with Programming with a Differentiable Forth Interpreter ...

Effectively Propositional Logic (EPR), also known as the Bernays-Schoenfinkel class, allows encoding problems that are propositional in nature, but EPR encodings can be exponentially more succinct ...

Abstract: Residuated fuzzy logic calculi are related to continuous t-norms which are used as truth functions for the conjunction connective, and their residua as truth function for the implication. In ...

We give a new proof of the following result (originally due to Linial and Post): it is undecidable whether a given calculus, that is a finite set of propositional formulas together with the rules of ...