Mathematical induction is a proof technique used to establish properties of natural numbers. One shows that the property holds for 0 (the base case), and that if it holds for a number n, then it also holds for its successor n + 1 (the induction step).

The intuition is akin to a row of dominoes: if the first one falls, and each falling domino causes the next to fall, then all of them will fall.

#MathematicalInduction #Logic #Mathematics #KnowledgeRepresentation

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#introduction #logic #KnowledgeRepresentation #AI

Robbe Van den Eede shares insights on #proofs and their role in #logic-based languages for #KnowledgeRepresentation, discussing the paper “A Sequent Calculus for Generalized Inductive Definitions”, co-authored with Robbe Van Biervliet and Marc Denecker, which received the Best Paper Award at LPNMR 2024.

https://blogic.ink/p/a-sequent-calculus-for-general-inductive-definitions/

A Sequent Calculus for General Inductive Definitions

Robbe Van den Eede

bLogic.ink

Yesterday, our colleague @joerg was presenting our research for Semantic Interoperability based on the PMDcore ontology at the MaterialDigital General Assembly 2025 in Berlin, hosted by @BAMResearch

PMDco ontology: https://materialdigital.github.io/core-ontology/index-de.html

#materialsscience #digitalisation #ai #ontologies #llms #deeplearning #knowledgerepresentation #semanticweb #knowledgegraphs @KIT_Karlsruhe @fiz_karlsruhe

This article explains how to formally verify a simple vehicle controller using IDP, a first-order logic knowledge base system.

https://blogic.ink/p/simple-vehicle-controller/

This article supplements the book Demystifying Artificial Intelligence (https://www.degruyterbrill.com/document/doi/10.1515/9783111426143/html).

#logic #KnowledgeRepresentation #FormalVerification #AI

Simple vehicle controller

Đorđe Marković, Bart Bogaerts

bLogic.ink

In spite of the ample evidence of my passing, in just under 3 hours I am going to be talking about #knowledgeRepresentation with the esteemed doctor of knowledge @shizamura about my multi-cognitive-agent #GUI + #gameOfLife #automata in #commonLisp in #eev in #emacs for #emacsconf . Questions or comments for the good doctor or sincerely yours welcome. Please boost for visibility since I was AWOL this week.

Sunday-Morning-in-Europe #peertube #live https://toobnix.org/w/gXLXQqxf5MYg1NDF2Ua6oA (every) 9am UTC.

Call for Posters: DiTraRe Symposium 2025 on the Digitalization of research.
deadline: Oct 17, 2025
CfP: https://easychair.org/cfp/DiTraRe2025

Topics:
- #KnowledgeRepresentation and #AI
- Ethical and legal challenges
- #Research #Infrastructures
- Impact on #Science and #Society
- #SmartData acquisition
- AI-based knowledge realms
- Publication cultures

#digitalization #knowledgegraphs #cfp ##ditrare #aiethics #society #digitalhumanities @fiz_karlsruhe @KIT_Karlsruhe @ITAS @AnnaJacyszyn @Feelix @lysander07

#bookstodon #bookReview #knowledgeRepresentation actually a chapter review.

My notes after Chapter 1: Classical Logic of The Handbook of Knowledge Representation.

https://screwlisp.small-web.org/books/handbook-of-kr-ch1-logic/

#lisp #acl2 #prolog #logic

Book review Chapter 1: Classical Logic in the Handbook of Knowledge Representation

#Orgdown is better than #markdown Karl Voit #interview #programming #knowledgeRepresentation #lispyGopherClimate #emacs

https://communitymedia.video/w/i7G3W41S91Z1DyoQuoMswF

#Orgdown is better than #markdown Karl Voit #interview #programming #knowledgeRepresentation #lispyGopherClimate #emacs

PeerTube