Variable ranges in linear constraints

  • Authors:
  • Salvatore Ruggieri;Fred Mesnard

  • Affiliations:
  • Università di Pisa, Italy;Università de la Réunion, France

  • Venue:
  • Proceedings of the 2010 ACM Symposium on Applied Computing
  • Year:
  • 2010

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Abstract

We introduce an extension of linear constraints, called linear- range constraints, which allows for (meta-)reasoning about the approximation width of variables. Semantics for linear- range constraints is provided in terms of parameterized linear systems. We devise procedures for checking satisfiability and for entailing the maximal width of a variable. An extension of the constraint logic programming language CLP(R) is proposed by admitting linear-range constraints.