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arXiv · 1911.04588

Recurrence Extraction for Functional Programs through Call-by-Push-Value (Extended Version)

G. A. Kavvos·Edward Morehouse·Daniel R. Licata·Norman Danner
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Abstract

The main way of analyzing the complexity of a program is that of extracting and solving a recurrence that expresses its running time in terms of the size of its input. We develop a method that automatically extracts such recurrences from the syntax of higher-order recursive functional programs. The resulting recurrences, which are programs in a call-by-name language with recursion, explicitly compute the running time in terms of the size of the input. In order to achieve this in a uniform way that covers both call-by-name and call-by-value evaluation strategies, we use Call-by-Push-Value (CBPV) as an intermediate language. Finally, we use domain theory to develop a denotational cost semantics for the resulting recurrences.

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G. A. Kavvos, Edward Morehouse, Daniel R. Licata, Norman Danner. 2019-11-11. Recurrence Extraction for Functional Programs through Call-by-Push-Value (Extended Version). https://doi.org/10.1145/3371083

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