On the Cut Elimination of Weak Intuitionistic Tense Logic

TL;DR

This paper introduces a novel method for proving cut-elimination in weak intuitionistic tense logic, emphasizing the splitting of contraction and cut rules, with potential for broader applications.

Contribution

It presents a new approach to cut-elimination in weak intuitionistic tense logic by focusing on rule splitting, advancing proof theory techniques.

Findings

Successful proof of cut-elimination using the new method

Potential for generalizing the approach to other logics

Foundation for future applications and theories

Abstract

In this paper, we use a new method to prove cut-elimination of weak intuitionistic tense logic. This method focuses on splitting the contraction rule and cut rules. Further general theories and applications of this method shall be developed in the future.