Automatically introducing tail recursion in CakeML
Paper in proceedings, 2018

We describe and implement an optimizing compiler transformation which turns non–tail-recursive functions into equivalent tail-recursive functions in an intermediate language of the CakeML compiler. CakeML is a strongly typed functional language based on Standard ML with call-by-value semantics and a fully verified compiler. We integrate our implementation into CakeML compiler, and provide a machine-checked proof verifying that the observational semantics of programs is preserved under the transformation. To the best of our knowledge, this is the first fully verified implementation of this transformation in any modern compiler. Moreover, our verification efforts uncover surprising drawbacks in some of the verification techniques employed in several parts of the CakeML compiler. We provide a work-around for these drawbacks, and compare it to potential alternatives.


Oskar Abrahamsson

Chalmers, Computer Science and Engineering (Chalmers), Formal methods

Magnus Myreen

Chalmers, Computer Science and Engineering (Chalmers), Formal methods

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

Vol. 10788 118-134

18th International Symposium on Trends in Functional Programming, TFP 2017
Canterbury, United Kingdom,

Subject Categories

Language Technology (Computational Linguistics)

Computer Systems

Mathematical Analysis



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