Abstract: This paper extend the α-resolution principle based on classical logic system. An α-generalized resolution method is presented in Linguistic Truth-Valued lattice-valued propositional logic ...

Forbes contributors publish independent expert analyses and insights. Dr. Lance B. Eliot is a world-renowned AI scientist and consultant.

Large Language Models (LLMs) have made significant strides in various Natural Language Processing tasks, yet they still struggle with mathematics and complex logical reasoning. Chain-of-Thought (CoT) ...

Abstract: In the present paper, based on lattice implication algebra, a kind of linguistic truth-valued propositional logic is constructed with some logic properties regarding reasoning being provided ...

Logic and logical thinking are present and play an important role in most of the disciplines at the university level but in different ways. In our research, which has been ongoing for several years, ...

Charles S. Peirce; Logic; Many-valued logics; Paraconsistency; Three-valued logic Our focus here will be mainly on the formal aspects of the subject. This article aims to provide a new approach to ...

In this lecture, we will consider the relationship of (first-order) modal logic and propositional modal logic to classical first-order logic by reducing first-order modal logic to classical ...

If we define the judgment "A is true" without the use of hypothetical judgments we arrive at an axiomatic system in the style of Hilbert. If we start from the judgment "A entails B" without the use of ...

OpenPAS consists of a library, a script runtime, and an interactive console that is capable of probabilistic argumentation and propositional logic operations. OpenPAS contains a full implementation of ...