Advertisement

Abstract

First-order programs are desired in a variety of settings and for a variety of reasons. Their coming into existence in first-order form may be unplanned or it could be the deliberate result of a form of “firstification” such as closure conversion, (super)combinator conversion, or defunctionalization. In the latter case, they are higher-order programs in disguise, just as iterative programs with accumulators are often recursive programs in disguise.

This talk is about Reynolds’s defunctionalization [1, 2]. Over the last few years, we have observed that a number of existing first-order programs turn out to be in the range of defunctionalization, and therefore they directly correspond to higher-order programs, even though they were designed independently of any higher-order representation. Not all first-order programs, however, are in defunctionalized form.

The goal of this talk is to refine our earlier characterization of what it means to be in defunctionalized form [3], and to investigate how one can tease a first-order program into defunctionalized form. On the way, we present a variety of independently known programs that are in (or can be teased into) defunctionalized form, and we exhibit their functional counterpart—a process we refer to as ‘refunctionalization’ since it is a left inverse of defunctionalization.

Keywords

Software Engineer Formal Language Left Inverse Recursive Program Declarative Programming 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Reynolds, J.C.: Definitional interpreters for higher-order programming languages. In: Proc.of 25th ACM Nat. Conf., pp. 717–740. ACM Press, New York (1972); Reprinted in Higher-Order and Symb. Comput. 11(4), 363–397 (1998)Google Scholar
  2. 2.
    Reynolds, J.C.: Definitional interpreters revisited. Higher-Order and Symb. Comput. 11(4), 355–361 (1998)MATHCrossRefGoogle Scholar
  3. 3.
    Danvy, O., Nielsen, L.R.: Defunctionalization at work. In: Proc. of 3rd Int. ACM SIGPLAN Conf. on Principles and Practice of Declarative Programming PPDP 2001, pp. 162–174. ACM Press, New York (2001)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Olivier Danvy
    • 1
  1. 1.BRICS, Department of Computer ScienceUniversity of AarhusAarhus NDenmark

Personalised recommendations