Substitution expressions: Extracting solutions of non-Horn clause proofs

  • K. Aspetsberger
Automated Theorem Proving
Part of the Lecture Notes in Computer Science book series (LNCS, volume 204)


In this paper a parallel proof procedure for non-Horn clauses based on Kowalski's connection graph proof procedure and the L-machine is described. For expressing non deterministic solutions, the new concept of substitution expressions is introduced. Substitution expressions are used in the parallel proof procedure and it is demonstrated by examples, how to extract a solution from a proof for non-Horn clauses using substitution expressions. Finally, a set of simplification rules for substitution expressions is given.


Generalize Substitution Horn Clause Simple Substitution Proof Procedure Actual Graph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • K. Aspetsberger
    • 1
    • 2
  1. 1.Institut für MathematikJoh. Kepler Universität LinzLinz
  2. 2.Institut für InformatikTechnische Universität MünchenMünchen 2

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