Cost Recurrences for DML Programs

Bernd Grobauer

BRICS International PhD School, Aarhus Universitet, Denmark

Abstract: A cost recurrence describes an upper bound for the running time of a program in terms of the size of its input. Finding cost recurrences is a frequent intermediate step in complexity analysis, and this step requires an abstraction from data to data size. In this talk, we show how to use information contained in dependent types to achieve such an abstraction: Dependent ML (DML), a conservative extension of ML, provides dependent types that can be used to associate data with size information, thus describing a possible abstraction. We automatically extract cost recurrences from first-order DML programs, guiding the abstraction from data to data size with information contained in DML type derivations.

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Marieke Huisman

Last modified: Tue Apr 3 2001