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Details of Grant 

EPSRC Reference: EP/C54384X/1
Title: Combining Approaches in Classifying Complexity of Constraints
Principal Investigator: Krokhin, Professor A
Other Investigators:
Researcher Co-Investigators:
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Department: Computer Science
Organisation: Durham, University of
Scheme: Standard Research (Pre-FEC)
Starts: 15 September 2005 Ends: 14 September 2008 Value (£): 205,575
EPSRC Research Topic Classifications:
Fundamentals of Computing Logic & Combinatorics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
22 Mar 2005 EURYI Central Panel Deferred
13 Apr 2005 ICT Fellowships 2005 Interview Panel Deferred
11 Mar 2005 ICT Fellowships Sift Panel 2005 Deferred
Summary on Grant Application Form
The proposed research concerns constraint satisfaction problems (CSPs). The aim in a constraint satisfaction problem is to find an assignment of values to a given set of variables, subject to constraints on the values which can be assigned to certain specified subsets of variables. This general setting allows one to express, in a natural way, a wide variety of problems encountered in Artificial Intelligence, Combinatorial Optimisation, Graph Theory, Logic Programming, Database Theory and elsewhere.The two main directions of research in CSP are as follows: one is Al-oriented and comprises modelling other problems as CSPs, empirical studies and constraint programming, while the other is Theoretical Computer Science-oriented and studies the structure and the complexity of fragments of CSP and its many variants. In this proposal, we follow the second direction.Solving constraint satisfaction problems in full generality is difficult, and it is very unlikely that general efficient algorithms for these problems exist. We propose to study which restrictions on the type of constraints allow one to efficiently solve four different useful versions of such problems. Due to the many ways in which constraint satisfaction problems can be viewed, many methods can be used to evaluate the complexity of these problems. We plan to combine methods from algebra, logic and combinatorics in our research.
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