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Constrained equational deduction

  • John Darlington
  • Yike Guo
Chapter 7 Extension Of Unification And Narrowing Techniques
Part of the Lecture Notes in Computer Science book series (LNCS, volume 516)

Abstract

In the areas of automated deduction, algebraic specification and declarative programming, symbolic computation is always required to cooperate with computation in concrete mathematical systems. Therefore, to design a deduction mechanism within equational programming logic camp, symbolic equational deduction should be extended to exploit the semantic information behind abstract symbols. In this paper, we propose constrained equational deduction as a framework for such an extension within a general constraint equational logic programming setting. Constrained equational deduction takes advantage of the hierarchical constraint information within the equations and establishs a smooth link between symbolic equational deduction and various constraint solving mechanisms. We present a constructive approach to combine a constraint system in the domain of discourse with the symbolic equational constraints in the term space to establish the constraint equational logic programming paradigm. Constrained equational deduction models are then presented to be the computational model of the paradigm.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • John Darlington
    • 1
  • Yike Guo
    • 1
  1. 1.Department of ComputingImperial CollegeLondonU.K.

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