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Journal of Logic and Computation 2000 10(5):721-738; doi:10.1093/logcom/10.5.721
© 2000 by Oxford University Press
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Postponement, conservation and preservation of strong normalization for generalized reduction

F Kamareddine

Department of Computing and Electrical Engineering, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK E-mail: fairouz@cee.hw.ac.uk

Postponement of ßK-contractions and the conservation theorem do not hold for ordinary ß but have been established by de Groote for a mixture of ß with another reduction relation. In this paper, de Groote's results are generalized for a single reduction relation ße which generalizes ß. We show moreover, that ße has the preservation of strong normalization property.

Keywords: generalized ß-reduction, postponement of K-contractions, generalized conservation, preservation of strong normalization


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