The pdf of the extended abstract (more readable than the pics in the original post) is here👇🏼 too:
drive.google.com/file/d/1evKU...
Thanks again for your comments and suggestions.
#Computability #ProofTheory
4/

Anybody familiar with Troelstra & Schwintenberg’s book “Basic Proof Theory”?

#mathsky #mathematics #prooftheory

hcommons.social:

Tomorrow, I get to give the last of my three talks on inferentialism. It’s time to buckle up your λs, and join in the search for some unicorns…https://consequently.org/presentation/2025/whl-a/#prooftheory #semantics #linguistics

https://hcommons.social/@consequently/11533...

Tomorrow, I get to give the last of my three talks on inferentialism. It’s time to buckle up your λs, and join in the search for some unicorns…

https://consequently.org/presentation/2025/whl-a/

#prooftheory #semantics #linguistics

Screw it. I’m just gonna use the pdf. This thread will contain notes on Jean-Yves Girard’s Proofs and Types.

I suppose passages will be indexed by (§, pX), where X is the page number.

#mathsky #logic #prooftheory #Girard

In this week's #blog I write briefly about a 2001 paper on designing lambda calculi for intuitionistic modal logic. https://blogs.fediscience.org/the-updated-scholar/2025/08/15/discussing-extended-curry-howard-correspondence-for-a-basic-constructive-modal-logic/ #logic #ModalLogic #ProofTheory […]

I am going to make an attempt to #blog a bit again, reading and writing about papers and books, old and new, that are cited by recent work in my area. This week, we look at a #ProofTheory #logic textbook. https://blogs.fediscience.org/the-updated-scholar/2025/08/08/discussing-basic-proof-theory/

#ProofTheory / simple #typetheory question: I'm reading Troelstra & Schwichtenberg's 'Basic Proof Theory' and they discuss 'simplification contractions' on natural deductions, which cover cases where an auxiliary premise of an elimination rule does not use the local variable it is given.

e.g.if […]

Readings shared July 12, 2025. jaalonso.github.io/vestigium/po... #ASP #ATP #CLP #CategoryTheory #CoqProver #Emacs #FunctionalProgramming #Haskell #ITP #IsabelleHOL #LLMs #LeanProver #Logic #LogicProgramming #Math #Prolog #ProofTheory #Prover9

Proof theory and logic programming: Computation as proof search. ~ Dale Miller. www.lix.polytechnique.fr/Labo/Dale.Mi... #Logic #ProofTheory #LogicProgramming

New: pmGenerator, since version 1.2.2, can
- compress Hilbert-style proofs via exhaustive search on user-provided proof data
- convert Fitch-style natural deduction proofs into any sufficiently explored Hilbert system

#Logic #HilbertSystems #NaturalDeduction #FormalMethods #ProofTheory #Mathematics

Mathematician Adam Kucharski: ‘Our concepts of what we can prove are shifting’ #Science #Mathematics #ProofTheory #AdamKucharski

Lean has pretty nice tooling and support. That's why I used it rather than an alternative to implement a small proof-of-concept D-proof verifier for my research tool: github.com/xamidi/pmGen...
(click "a small program in Lean 4" to see what I mean)

#lean #logic #prooftheory

It’s a cloudy and cold Tuesday, and I’m inside writing about refinement.

At least I *think* I understand what I’m doing a bit better than Mark S and his team of macrodata refiners do.

(That’s an inappropriate #Severance, #prooftheory #ModalLogic and […]

[Original post on hcommons.social]

Another week, another research presentation. Coming up on Saturday, I’ll be hanging out in Munich, talking about free logic and rules for quantifiers. https://consequently.org/presentation/2024/defining-quantifiers-mcmp/

#logic #prooftheory

An explanation of what axioms and mathematical proofs really are. With a reference to my tool that helps exploring some of them.

#Logic #Axioms #Mathematics #ProofTheory #HilbertSystems #ModalLogic #Research #Software