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Seminars

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.