Set Theory and Logic

Inference Operators

Authors: A. Zelmer
Comments: 40 Pages. (Note by viXra Admin: Please cite listed scientific reference and submit article written with AI assistance to ai.viXra.org)

Certainly the beauty of mathematics also lies in the precision of mathematical sentences, as well as in the proofs of theorems. However, this can only be fully achieved by formalizing sentences and proofs.Our computer-assisted proving system, which we have called "Logic", contains two fundamental modules: the sentence editor and the proof module. We presented the sentence editor in Mathematical Sentences as Matrices. The proof module of the "Logic" system is based on certain primitive functions that we have called inference operators. In this paper we present what inference operators are and how they can be used in formalized mathematical proofs.
Category: Set Theory and Logic