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What and Who

Solving linear arithmetic by conflict resolution and bound propagation

Konstantin Korovin
University of Manchester
Talk
AG 1, AG 2, AG 3, AG 4, AG 5, SWS, RG1, MMCI  
Public Audience
English

Date, Time and Location

Wednesday, 23 October 2013
15:00
45 Minutes
E1 4
019
Saarbrücken

Abstract

Reasoning methods based on resolution and DPLL have enjoyed many success stories 
in real-life applications. One of the challenges is whether we
can go beyond and extend this technology to other domains such as arithmetic.
In our recent work we introduced two methods for solving systems of 
linear inequalities called conflict resolution (CR) 
and bound propagation (BP) which aim to address this challenge. 
In particular, conflict resolution can be seen as a refinement 
of resolution and bound propagation is analogous to DPLL 
with constraint propagation, backjumping and lemma learning.
There are non-trivial issues when considering arithmetic constraints such as  
termination, dynamic variable ordering and dealing with large coefficients. 
In this talk I will overview our approach for solving linear arithmetic and related work.
This is a joint work with Ioan Dragan, Laura Kovacs, Nestan Tsiskaridze and Andrei Voronkov.

Contact

Jennifer Müller
2900
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Jennifer Müller, 10/21/2013 09:10 -- Created document.