Reference : Generic Solution Construction in Valuation-Based Systems
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Computer science
Engineering, computing & technology : Multidisciplinary, general & others
Generic Solution Construction in Valuation-Based Systems
Pouly, Marc [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SnT) >]
Advances in Artificial Intelligence
Butz, Cory
Lingras, Pawan
Lecture Notes in Computer Science, 6657
335 - 346
24th Canadian Conference on Artificial Intelligence
25-27 May 2011
St. John's, NL
[en] Valuation algebras abstract a large number of formalisms for automated reasoning and enable the definition of generic inference procedures. Many of these formalisms provide some notions of solutions. Typical examples are satisfying assignments in constraint systems, models in logics or solutions to linear equation systems. Contrary to inference, there is no general algorithm to compute solutions in arbitrary valuation algebras. This paper states formal requirements for the presence of solutions and proposes a generic algorithm for solution construction based on the results of a previously executed inference scheme. We study the application of generic solution construction to semiring constraint systems, sparse linear systems and algebraic path problems and show that the proposed method generalizes various existing approaches for specific formalisms in the literature.

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