Equivariant ZFA with Choice: a position paper

TL;DR

This paper introduces Equivariant ZFA with Choice, a new foundational framework for nominal techniques that balances strength and flexibility, aiming to improve automated reasoning methods.

Contribution

It proposes a novel set-theoretic foundation that is stronger than ZFC but weaker than FM, tailored for nominal techniques and automation.

Findings

Defines Equivariant ZFA with Choice as a foundation.

Explains advantages for automated reasoning.

Positions the framework between ZFC and FM.

Abstract

We propose Equivariant ZFA with Choice as a foundation for nominal techniques that is stronger than ZFC and weaker than FM, and why this may be particularly helpful in the context of automated reasoning.