Matching-Logic-Based Understanding of Polynomial Functors and their Initial/Final Models

TL;DR

This paper explores how matching logic can uniformly specify initial and final models for polynomial functors, enhancing understanding of their categorical properties.

Contribution

It introduces a matching logic framework to characterize initial and final models of polynomial functors, providing a unified approach.

Findings

Matching logic effectively specifies initial models.

Matching logic effectively specifies final models.

Unified specification simplifies categorical analysis.

Abstract

In this paper, we investigate how the initial models and the final models for the polynomial functors can be uniformly specified in matching logic.