Type Theory Forall – Details, episodes & analysis

In this episode Pierre-Marie Pédrot, one of the main Coq/Rocq developers joins us to talk about Krivine, Kleene and Gödel Realizability Models, how it relates to the BHK interpretation and CPS Translations, and how it was all already part of Gödel's work in Dialectica!

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

• Pierre-Marie's Website
• Pierre-Marie's PhD Thesis (Very nice read)
• BHK Interpretation
• Type Theory Forall website
• Type Theory Forall discord

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

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

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

In this episode we celebrate 3 years of existence of this podcast by reflecting on the journey so far, what is my philosophy, how do I approach the interviews, my overall goals for the show, and some of our plans for the future.

In order to achieve this, I first take a detour and tell you a little more about my personal history, and my carreer in type theory and programming languages.

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

In this episode we talk with Eduardo Rafael. He is self-thaught programming languages enthusiast, youtuber, twitch streamer, multi-skilled programmer that has worked in different aspects of computer science such as PL, operating systems, blockchain, and many other stuff. In this conversation we talk about his experience as a developer and hacker that didn’t follow the conventional paths of going to school and what are the strategies to navigate the vast ocean of knowledge without guidance of teachers or institutions.

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

• Eduardo's Twitter
• Eduardo's Twitch
• Eduardo's Youtube
• Feynman Algorithm

Andrew Marmaduke is a PhD Candidate from the University of Iowa, he works under Aaron Stump and has been working on revamping the theorem prover Cedille 2. In this episode we tackle fundamental questions about the foundations of the theorem provers, Cedille and Cedille 2.

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

• Andrew's Website
• AndrasKovacs' Smalltt
• Failure of Normalization in Impredicative Type Theory with Proof-Irrelevant Propositional Equality
• Impredicative Encodings of (Higher) Inductive Types

Not satisfied with implementing one of the most popular automated theorem provers, Z3, Leo de Moura also tackles another extremely hard problem in our field and implements a brand new interactive theorem prover from scratch, Lean. In this episode we dive into the mind and philosophy of this man.

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

• Leo's Website
• Lean
• Z3
• The Church of Logic Podcast

In this episode we continue our conversation with Jan de Muijnck-Hughes a Research Associate at Glasgow University. He works using all sorts of fancy type systems mostly targeted for hardware specification, particularly with the aid of the theorem prover Idris. This episode we start by talking a little about Impostor Syndrome in academia and how he has learned to cope with it and then we dive deeper into the technicalities of his research, in particular his philosophy on Type Directed Design of Systems. We talk about Session Types, Graded Types, Quantitative types, etc.

Don't forget to join our new discord channel!

If you like our show please consider donating any amount at ko-fi.

• Jan's website
• Jan's twitter
• Jan's mastodon
• Writing and Speaking with Style
• Artifact Eval
• Andrej Bauer: Formalising Invisible Mathematics
• Hedy language (Felienne Hermans)
• Hermans' Inaugural Lecture on making PL human and inclusive
• Epistemic Injustice
• Richard Eisenberg interview
• 'Software Foundations' but in Agda
• 'System F for Fun & Profit'
• Reviewing

• https://dsbd-appcontrol.github.io/
• https://border-patrol.github.io/

• Rachit Nigam
• Clement Pit-Claudel

• Idris Language
• Biblio

In this episode we have a deep conversation with Jan de Muijnck-Hughes, talks about all the cool research he has done with idris, hardware and different kinds of interesting type systems such as session types, quantitative types and graded types. In the second half we discuss all the different kinds of problems that has been going on in PL academia lately and what we can do as a community to address those issues.

Also, we have a discord channel now, join us!

If you like our show please consider donating any amount at ko-fi.

Errata:

• Jan mentions 'Jeff Foster' when, in fact, he meant Nate Foster
• This is the SIGCOMM 'Call': https://sigcomm.quest/
• Felinne Hermans did her PhD at Eindhoven and not Delft

• Jan's website
• Jan's twitter
• Jan's mastodon
• Writing and Speaking with Style
• Artifact Eval
• Andrej Bauer: Formalising Invisible Mathematics
• Hedy language (Felienne Hermans)
• Hermans' Inaugural Lecture on making PL human and inclusive
• Epistemic Injustice
• Richard Eisenberg interview
• 'Software Foundations' but in Agda
• 'System F for Fun & Profit'
• Reviewing

• https://dsbd-appcontrol.github.io/
• https://border-patrol.github.io/

• Rachit Nigam
• Clement Pit-Claudel

• Idris Language
• Biblio

In this episode we have over Dan Plyukhin, a PhD Candidate from the University of Illinois Urbana-Champaign.

We talk about Dan’s research is in the field of parallelism, more specifically garbage collection in the presence of actors.

Then we also talk about Pedro's research on translating GADTs from OCaml to Coq, and the burnout process that lead him to take 10 months off from his PhD to be with his family back in Brazil.

• Dan's Personal Website
• Twitter: @dplyukhn

Jimmy Koppel, got his PhD at MIT and found the Mirdin Company, where he teaches engineers to write better code! In this interview we talk about how to make better code, how the knowledge of computer science theory and programming languages can help engineers to achieve that, and much more!

• Jimmy's Personal Website
• Jimmy's Twitter
• Mirdin's Website
• Jimmy's Blog
• Lastest blog post
• One CFG-Generator to Rule Them All
• Automatically Deriving Control-Flow Graph Generators from Operational Semantics
• Thiel Fellowship

• Mirdin's Newsletter
• Hillel Wayne's Newsletter
• Eric Normand's Newsletter
• Jeremy Kun's Newsletter