Representation theorems in modal logic using algebraic logic

TL;DR

This paper establishes representation theorems for infinitary predicate modal logic, connecting modal logic with algebraic structures to deepen understanding of its semantics.

Contribution

It introduces new algebraic representation theorems specifically tailored for infinitary predicate modal logic, expanding the theoretical framework.

Findings

Proved several key representation theorems

Enhanced the algebraic understanding of infinitary modal logic

Bridged modal logic with algebraic structures

Abstract

We prove several representation theorems for infinitary predicate modal logic