In this episode Pierre-Marrie Pédrot who is one of the main Coq/Rocq developers joins us to talk about what is Type Theory, what is Martin-Lof Type Theory, what are the properties we should care about in our type theory and why.

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• Pierre-Marie's Website
• Type Theory Forall website
• Type Theory Forall discord

Mario Carneiro is the creator of Mathlib, Lean4Lean and Metamath0. He is currently doing his Postdoc at Chalmers University working on CakeML. In this episode we talk about foundations of theorem provers, type systems properties, semantics and interoperabilities.

If you enjoy the show please consider supporting us at our ko-fi: https://ko-fi.com/typetheoryforall

• Lean4Lean github
• Metamath
• Metamath0
• Lean Foundations Discussion
• Large Elimination / Singleton Elimination
• Type Theory Forall website
• Type Theory Forall discord

In this episode Eric Bond and Patrick Lafontaine joins us to talk about the life in industry vs the life in academia. Eric is a PhD student at Michigan University under Max New, he works with some pretty cool esoteric cubical agda stuff. Before starting his PhD he has spent some time at the consultancy companies Two Six Technologies and 47 Degrees doing some cool functional programming and formal methods. Before that we were pals doing an internship at Galois, and even before that he finished his masters with Benjamin Delaware at Purdue, Patrick’s current advisor. Patrick has just returned from his internship at AWS in the automated reasoning team. So in this episode we talk about their research, their academic and industry experiences, how’s the industry looking like for opportunities in PL and all that.

If you enjoy the show please consider supporting us at our ko-fi: https://ko-fi.com/typetheoryforall

• Type Theory Forall website
• Type Theory Forall discord