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Hu Yunfa, Wolfgang Bibel. Reduction of Cycle Unification of Type Cpg+r[J]. Journal of Computer Science and Technology, 1998, 13(1): 18-24.
Citation: Hu Yunfa, Wolfgang Bibel. Reduction of Cycle Unification of Type Cpg+r[J]. Journal of Computer Science and Technology, 1998, 13(1): 18-24.

Reduction of Cycle Unification of Type Cpg+r

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  • Published Date: January 09, 1998
  • In this paper a class of cycle unification problems called type Cpg+r is studied, and an intuitive representation method, called the position supergraph, is presented to analyze or reduce the cycle problem. A typical case of Cpg+r problems is considered and an algorithm is given, which transforms the original problem of Cpg+r that is of the exponential complexity into a new one that is of the linear complexity when using SLD resolution method. These results are of importance for practice and theory.
  • [1]
    Bibel W, Holldobler S, Murtz J. Cycle unification. In Proc. the Conference on Automated Deduction, Springer, Berlin, 1992, pp.94-108.
    [2]
    Bruning Stefan. Techniques for avoiding redundancy. In Theorem Proving Based on the Connection Method, Doctor's Thesis D17, TH Darmstadt, 1994.
    [3]
    Eder E. Properties of substitutions and unifications. Journal of Symbolic Computation, 1985, 1: 31-46. ……….
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