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Posts tagged #HilbertSystems

Samiro Discher
Samiro Discher
@xamidi.bsky.social
9 months ago
Preview
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...

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

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Samiro Discher
Samiro Discher
@xamidi.bsky.social
1 year ago
What is the significance of the K-axiom in modal logic S5? In normal modal logic S5, the K axiom says $\square (p \rightarrow q) \rightarrow (\square p \rightarrow \square q)$. First of all, is this an abuse...

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

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