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Dynamic term rewriting calculus and its application to inductive equational reasoning

  • Su Feng
  • Toshiki Sakabe
  • Yasuyoshi Inagaki
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 722)

Abstract

Dynamic Term Rewriting Calculus (DTRC) is a new computation model proposed by the authors for the purpose of formal description and verification of algorithms treating Term Rewriting Systems (TRSs). The computation of DTRC is basically term rewriting. The characteristic features of DTRC are dynamic change of rewriting rules during computation and hierarchical declaration of not only function symbols and variables but also rewriting rules. These features allow us to program meta-computation of TRSs in DTRC, i.e., we can implement in DTRC in a natural way those algorithms which manipulate TRSs as well as those procedures which verify such algorithms. We show here that we can use DTRC to represent the proof of an inductive theorem of an equational axiom system, i.e., we can translate the statements of base and induction steps in the proof of the inductive theorem into a DTRC term. The translation reduces the proof of the statements into the evaluation of the DTRC term.

Keywords

Normal Form Function Symbol Operational Semantic Reduction Sequence Structural Induction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Su Feng
    • 1
  • Toshiki Sakabe
    • 1
  • Yasuyoshi Inagaki
    • 1
  1. 1.Department of Information Engineering, Faculty of EngineeringNagoya UniversityNagoyaJapan

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