Titlebook: Semirings for Soft Constraint Solving and Programming; Stefano Bistarelli Book 2004 Springer-Verlag Berlin Heidelberg 2004 CSP.Constraint

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1. Introduction,blems have been studied in Artificial Intelligence starting from the seventies. Systematic use of constraints in programming has started in the eighties. In constraint programming the programming process consists of the generation of requirements (constraints) and solution of these requirements, by specialized constraint solvers.

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1. Introduction,lems especially in areas of planning and scheduling. It has recently emerged as a research area that combines researchers from a number of fields, including Artificial Intelligence, Programming Languages, Symbolic Computing and Computational Logic. Constraint networks and constraint satisfaction pro

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2. Soft Constraint Satisfaction Problems,sfaction, and others can be easily cast. The framework is based on a semiring structure, where the carrier set of the semiring specifies the values to be associated with each tuple of values of the variable domain, and the two semiring operations (+ and ×) model constraint projection and combination

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3. Towards SCSPs Solutions,the semiring operations are satisfied. We show how the SCSP framework can be used to model both old and new constraint solving and optimization schemes, thus allowing one to both formally justify many informally taken choices in existing schemes, and to prove that local consistency techniques can al

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5. Higher Order Semiring-Based Constraints,orities, probabilities, and other soft features. They are based over the notion of a semiring, that is, a set plus two operations. In this chapter we introduce a uniform, abstract presentation of (soft) constraint satisfaction concepts and constructions. Moreover, the soft constraint environment is

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