Organized in Nov 2024,
at
Vrije Universiteit Amsterdam, The Netherlands.
VvL Essentials talks are relatively high-level and broad overviews, that introduce early-career logicians (specifically PhDs) and logic-adjacent researchers to a field they may not be familiar with. This forms a low-threshold way to broaden their knowledge of the field at large, and encourages collaborations. The talks are hosted at different universities within the Netherlands.
This edition was on Algebraic Logic, with speakers Giuseppe Greco and Apostolos Tzimoulis (VU Amsterdam). Abstract below:
Algebraic logic explores the relationships between algebra and logic, with the primary aim of using algebraic methods to address logical problems, and vice versa in most recent years. In this lecture, we will introduce algebraic logic, briefly covering examples from classical propositional logic, intuitionistic logic, modal logics, relevance logics, and substructural logics. This discussion will naturally lead to the significant general findings by Blok and Pigozzi on algebraizable logics. The bridge between algebra and logic has been used to transfer many interesting properties, for instance interpolation properties corresponding to amalgamation properties or p-morphic images corresponding to subalgebras. After surveying the central ideas and key results in the field, we will focus on recent applications that led to an unexpected connection between correspondence theory and structural proof theory.