Formal Aspects of Computing

, Volume 1, Issue 1, pp 320–338 | Cite as

Term rewriting and beyond — theorem proving in Isabelle

  • Tobias Nipkow


The subject of this paper is theorem proving based on rewriting and induction. Both principles are implemented as tactics within the generic theorem prover Isabelle. Isabelle's higher-order features enable us to go beyond first-order rewriting and express rewriting with conditionals, induction schemata, higher-order functions and program transformers. Applications include the verification and transformation of functional versions of insertion sort and quicksort.

Key words

Theorem proving Term rewriting Isabelle Quicksort 


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Copyright information

© BCS 1989

Authors and Affiliations

  • Tobias Nipkow
    • 1
  1. 1.Computer LaboratoryUniversity of CambridgeCambridgeUK

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