Terminating general recursion
- Bengt Nordström
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In Martin-Löf's type theory, general recursion is not available. The only iterating constructs are primitive recursion over natural numbers and other inductive sets. The paper describes a way to allow a general recursion operator in type theory (extended with propositions). A proof rule for the new operator is presented. The addition of the new operator will not destroy the property that all well-typed programs terminate. An advantage of the new program construct is that it is possible to separate the termination proof of the program from the proof of other properties.
Dedicated to Peter Naur on the occasion of his 60:th birthday.
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- Terminating general recursion
BIT Numerical Mathematics
Volume 28, Issue 3 , pp 605-619
- Cover Date
- Print ISSN
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- Kluwer Academic Publishers
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- well-founded induction
- programming logic
- fixed point
- termination proof
- Industry Sectors
- Bengt Nordström (1)
- Author Affiliations
- 1. Department of Computer Science, Chalmers University of Technology and the University of Göteborg, S-41296, Göteborg, Sweden