On a coalgebraic view on Logic

TL;DR

This paper explores a coalgebraic framework for logic by translating consequence relations into morphisms within a category, providing a new perspective on logical structures.

Contribution

It introduces a coalgebraic approach to logic by formalizing consequence relations as categorical morphisms, bridging different logical perspectives.

Findings

Coalgebraic presentation of logic developed

Consequence relations modeled as morphisms in a category

Provides a unified framework for transitioning between logical perspectives

Abstract

In this paper we present methods of transition from one perspective on logic to others, and apply this in particular to obtain a coalgebraic presentation of logic. The central ingredient in this process is to view consequence relations as morphisms in a category.