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The Computer Journal 1997 40(10):640-651; doi:10.1093/comjnl/40.10.640
© 1997 by British Computer Society
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Treating Partiality in a Logic of Total Functions

O. Müller and K. Slind

Institut für Informatik, Technische Universität München, 80290 München, Germany Email: mueller{at}informatik.tu-muenchen.de

The need to use partial functions arises frequently in formal descriptions of computer systems. However, most proof assistants are based on logics of total functions. One way to address this mismatch is to invent and mechanize a new logic. Another is to develop practical workarounds in existing settings. In this paper we take the latter course: we survey and compare methods used to support partiality in a mechanization of a higher order logic featuring only total functions. The techniques we discuss are generally applicable and are illustrated by relatively large examples.

Received December 10, 1996. revised November 17, 1997.


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