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Descriptive Complexity of Infinite Domain Constraint Satisfaction Problems

Objective

The constraint satisfaction problem (CSP) is a computational problem where the instance consists of a finite set of variables and a finite set of constraints, and the goal is to decide if there is a mapping from the variables to elements of some fixed domain of values satisfying all the constraints. Such problems are ubiquitous in different areas of computer science, including artificial intelligence, scheduling, computational linguistics, computational biology, and combinatorial optimisation. InfCSP will use mathematical tools to study the descriptive complexity of infinite domain constraint satisfaction problems.

The main purpose of InfCSP is to understand the power of generic logic-based algorithms for CSPs with infinite domains of values. More precisely, we will analyse the class of CSPs parametrised by the type of constraints allowed in the instance in order to determine for which problems in this class the set of YES instances can be captured by a logical formula. The logics of interest will be Datalog and the first-order logic extended by a fixed-point operator, widely studied in the context of constraint satisfaction. The classifications will be obtained using methods from descriptive complexity, universal algebra and model theory. InfCSP will constitute a major step forward in understanding which infinite domain CSPs can be solved in polynomial time and developing new universal-algebraic tools for infinite domain CSP.

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MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2017

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Coordinator

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 195 454,80
Address
TRINITY LANE THE OLD SCHOOLS
CB2 1TN CAMBRIDGE
United Kingdom

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Region
East of England East Anglia Cambridgeshire CC
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 195 454,80
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