My *next* talk in this spring/summer of research combines some longstanding interests of mine (Graham Priest’s Logic of Paradox) and more recent interests (natural deduction and the sequent calculus). I bet you didn’t think that you could creatively apply Gentzen’s thoroughly standard rules of natural deduction to give you a sound and complete calculus for Priest’s LP, but it turns out that you can.

https://consequently.org/presentation/2026/lp-subst-arche/

#prooftheory #NaturalDeduction #paradox #philosophy

The Logic of Paradox as a substructural logic — consequently.org

I don't understand the ∀-intro and ∃-elim rules.

I asked here - if you can help, please do!

https://cs.stackexchange.com/questions/173607/help-understanding-quantifier-rules-for-natural-deduction

#logic #maths #naturaldeduction

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

https://github.com/xamidi/pmGenerator/releases/tag/1.2.2

Release pmGenerator 1.2 (patch 2) · xamidi/pmGenerator

pmGenerator-1.2.2-win.7z contains Windows binaries only. Compiled by GCC 11.3.0, binaries from winlibs-x86_64-posix-seh-gcc-11.3.0-llvm-14.0.3-mingw-w64msvcrt-10.0.0-r3 Used oneTBB 2021.9.0-1, lib...

GitHub

@emondb @hochstenbach @bblfish @josd

Hi Bruno,

I took a course & independent study on #AutomaticTheoremProving with David #Plaisted when he was still at #UIUC in 84–85. It was mostly about #ResolutionUnification & #NaturalDeduction provers but I was already on a different path by then as I had been working on #Peirce's & #SpencerBrown's versions of #LogicalGraphs in a computational vein since the late 60s. I'll discuss the differences that make a difference between those paradigms as we go.