Institute of Mathematics for Industry

Seminar



List All(846) Today and tomorrow's seminars(3)

From proof theory to universal algebra and back: a toy example of lattices.


Hold Date 2018-04-17 12:00~2018-04-17 13:00

Place Lecture Room S W1-C-503, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Tomasz Kowalski (Department of Mathematics and Statistics, La Trobe University)

Abstract:
Proof theory is rarely thought of algebraically. Thinking of universal algebra proof theoretically is even rarer. Using the theory of lattices as an example, I will show:
(1) How to prove algebraically a quintessentially proof theoretic result, known as the cut elimination theorem.
(2) How to prove proof theoretically, two important properties of free lattices, known as the Whitman condition and semidistributivity.