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Termination and confluence in infinitary term rewriting

Published online by Cambridge University Press:  12 March 2014

P. H. Rodenburg*
Affiliation:
Programming Research Group, University of Amsterdam, E-mail: pietr@wins.uva.nl

Abstract

The basic notions of the theory of term rewriting are defined for terms that may involve function letters of infinite arity. A sufficient condition for completeness is derived, and its use demonstrated by the example of abstract clones over infinitary signatures.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1998

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References

REFERENCES

[1] Huet, G., Confluent reductions: Abstract properties and applications to term rewriting systems, Journal of the ACM, vol. 27 (1980), pp. 797821.Google Scholar
[2] Kennaway, J. R., Klop, J. W., Sleep, M. R., and de Vries, F. J., Transfinite reductions in orthogonal term rewriting systems, Information and Computation, vol. 119 (1995), pp. 1838.Google Scholar
[3] Klop, J. W., Term rewriting systems, Handbook of logic in computer science (Abramsky, S., Gabbay, D. M., and Maibaum, T. S. E., editors), vol. 2, Cambridge, 1985, pp. 1116.Google Scholar
[4] Lambek, J. and Scott, R J., Introduction to higher order categorical logic, Cambridge, 1986.Google Scholar
[5] Meseguer, J. and Goguen, J. A., Initiality, induction and computability, Algebraic methods in semantics (Nivat, M. and Reynolds, J. C., editors), Cambridge, 1985, pp. 459541.Google Scholar