Formal Aspects of Computing

, Volume 29, Issue 1, pp 97–124 | Cite as

Constraint logic programming with a relational machine

  • Emilio Jesús Gallego AriasEmail author
  • James Lipton
  • Julio Mariño
Original Article


We present a declarative framework for the compilation of constraint logic programs into variable-free relational theories which are then executed by rewriting. This translation provides an algebraic formulation of the abstract syntax of logic programs. Logic variables, unification, and renaming apart are completely elided in favor of manipulation of variable-free relation expressions. In this setting, term rewriting not only provides an operational semantics for logic programs, but also a simple framework for reasoning about program execution. We prove the translation sound, and the rewriting system complete with respect to traditional SLD semantics.


Logic programming Constraint programming Relation algebra Rewriting Semantics 


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Copyright information

© British Computer Society 2016

Authors and Affiliations

  • Emilio Jesús Gallego Arias
    • 1
    Email author
  • James Lipton
    • 2
  • Julio Mariño
    • 3
  1. 1.CRI, Mines ParisTechSeine-et-MarneFrance
  2. 2.Department of Mathematics and Computer ScienceMiddleTownUSA
  3. 3.ETSI InformáticosUniversidad Politécnica de MadridBoadilla del MonteSpain

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