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I am a postdoctoral researcher in the INRIA research group Deducteam, interested in the foundations and interoperability of automated reasoning tools—particularly bridging set-theoretic and type-theoretic approaches to mathematics.

I build tools that facilitate interoperability between proof assistants, SMT solvers, and other automated reasoning systems. I also maintain the Zed extension for the LambdaPi proof assistant, and an MCP server that allows LLM agents to interact with LambdaPi.

Currently working on two projects on proof system interoperability:

Working Papers and Drafts

Automatically Translating Proof Systems for SMT Solvers to the λΠ-calculus

Ciarán Dunne, Guillaume Burel

2025

Publications

Isabelle/HOL/GST: A Formal Proof Environment for Generalized Set Theories

Ciarán Dunne, J. B. Wells

Conference for Intelligent Computer Mathematics, Tbisili, Georgia (2022)

Generating Custom Set Theories with Non-Set Structured Objects

Ciarán Dunne, J. B. Wells, Fairouz Kamareddine

Conference for Intelligent Computer Mathematics, Timișoara, Romania (2021)

Adding an Abstraction Barrier to ZF Set Theory

Ciarán Dunne, J. B. Wells, Fairouz Kamareddine

Conference for Intelligent Computer Mathematics, Temasora, Italy (2020)

Software

PhD Thesis

Towards a Set-Theoretic Foundation Closer to Mathematical Text

2023