Algebra vs Logic over Generalized Words
Centre International de Rencontres Mathématiques via YouTube
Overview
Explore a conference talk on the relationship between algebra and logic in the context of generalized words. Delve into finite and algebraic words, language definitions, and universal algebra concepts. Examine starfree expressions, Green's relations, and logical perspectives including First Order and Second Order Logic. Investigate binary trees, Sheila-Pan Pera, and algebraic viewpoints. Consider open questions in first-order logic and draw insights from this comprehensive discussion on discrete mathematics and logic, bridging mathematical and computer science domains.
Syllabus
Introduction
Finite words
Algebraic words
What is a language
Low universal algebra
Starfree expressions
Greens relation
Logician
First Order Logic
Second Order Logic
Binary Tree
Sheila
Pan Pera
Algebraic point of view
Open questions
First order
Conclusion
Taught by
Centre International de Rencontres Mathématiques