# (Integer) Linear Programming and Fragments of First-Order Logic

**Date**: Wednesday 10 May 2017, 16:00 – 17:30**Location**: Mathematics Level 8, MALL 1 & 2, School of Mathematics**Type**: Pure Mathematics seminars, Algebra, logic and algorithms seminars, Logic seminars, Seminar series**Cost**: Free

#### Ian Pratt-Hartmann, University of Manchester. Part of the algebra, logic and algorithms seminar series.

The last two-and-a-half decades have witnessed remarkable progress in the development of decision procedures for various fragments of first-order logic. One of the most powerful tools employed in this area is the reduction of logical satisfiability problems to linear programming or to linear integer programming. The purpose of this talk is to survey some of the results that have been obtained in this way and to explain the connections between the structure of polyhedra and the structure of models for the logical fragments in question.

**Ian Pratt-Hartmann,** *University of Manchester*