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International Symposium on Functional and Logic Programming

FLOPS 2010: Functional and Logic Programming pp 240–256Cite as

Defunctionalized Interpreters for Call-by-Need Evaluation

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6009))

Abstract

Starting from the standard call-by-need reduction for the λ-calculus that is common to Ariola, Felleisen, Maraist, Odersky, and Wadler, we inter-derive a series of hygienic semantic artifacts: a reduction-free stateless abstract machine, a continuation-passing evaluation function, and what appears to be the first heapless natural semantics for call-by-need evaluation. Furthermore we observe that a data structure and a judgment in this natural semantics are in defunctionalized form. The refunctionalized counterpart of this evaluation function is an extended direct semantics in the sense of Cartwright and Felleisen.

Overall, the semantic artifacts presented here are simpler than many other such artifacts that have been independently worked out, and which require ingenuity, skill, and independent soundness proofs on a case-by-case basis. They are also simpler to inter-derive because the inter-derivational tools (e.g., refocusing and defunctionalization) already exist.

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References

  1. Ager, M.S., Danvy, O., Midtgaard, J.: A functional correspondence between call-by-need evaluators and lazy abstract machines. Information Processing Letters 90(5), 223–232 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  2. Ariola, Z.M., Felleisen, M.: The call-by-need lambda calculus. Journal of Functional Programming 7(3), 265–301 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  3. Barendregt, H.: The Lambda Calculus: Its Syntax and Semantics. In: Studies in Logic and the Foundation of Mathematics, revised edn., vol. 103, North-Holland, Amsterdam (1984)

    Google Scholar 

  4. Biernacka, M., Danvy, O.: A syntactic correspondence between context-sensitive calculi and abstract machines. Theoretical Computer Science 375(1-3), 76–108 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  5. Bloo, R., Rose, K.H.: Preservation of strong normalisation in named lambda calculi with explicit substitution and garbage collection. In: CSN 1995: Computer Science in the Netherlands, pp. 62–72 (1995)

    Google Scholar 

  6. Cartwright, R., Felleisen, M.: Extensible denotational language specifications. In: Hagiya, M., Mitchell, J.C. (eds.) TACS 1994. LNCS, vol. 789, pp. 244–272. Springer, Heidelberg (1994)

    Google Scholar 

  7. Danvy, O.: Back to direct style. Science of Computer Programming 22(3), 183–195 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  8. Danvy, O.: Defunctionalized interpreters for programming languages. In: Thiemann, P. (ed.) Proceedings of the 2008 ACM SIGPLAN International Conference on Functional Programming (ICFP 2008), SIGPLAN Notices, Victoria, British Columbia, vol. 43(9), pp. 131–142. ACM Press, New York (2008) (invited talk)

    Google Scholar 

  9. Danvy, O.: From reduction-based to reduction-free normalization. In: Koopman, P., Plasmeijer, R., Swierstra, D. (eds.) AFP 2008. LNCS, vol. 5832, pp. 66–164. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  10. Danvy, O., Lawall, J.L.: Back to direct style II: First-class continuations. In: Clinger, W. (ed.) Proceedings of the 1992 ACM Conference on Lisp and Functional Programming, LISP Pointers, San Francisco, California, vol. V(1), pp. 299–310. ACM Press, New York (1992)

    Chapter  Google Scholar 

  11. Danvy, O., Millikin, K.: On the equivalence between small-step and big-step abstract machines: a simple application of lightweight fusion. Information Processing Letters 106(3), 100–109 (2008)

    Article  MathSciNet  Google Scholar 

  12. Danvy, O., Millikin, K.: Refunctionalization at work. Science of Computer Programming 74(8), 534–549 (2009)

    Article  MATH  Google Scholar 

  13. Danvy, O., Nielsen, L.R.: Defunctionalization at work. In: Søndergaard, H. (ed.) Proceedings of the Third International ACM SIGPLAN Conference on Principles and Practice of Declarative Programming (PPDP 2001), Firenze, Italy, pp. 162–174. ACM Press, New York (2001)

    Chapter  Google Scholar 

  14. Danvy, O., Nielsen, L.R.: Refocusing in reduction semantics. Research Report BRICS RS-04-26, Department of Computer Science, Aarhus University, Aarhus, Denmark (November 2004); A preliminary version appeared in the informal proceedings of the Second International Workshop on Rule-Based Programming (RULE 2001). Electronic Notes in Theoretical Computer Science, vol. 59.4 (2001)

    Google Scholar 

  15. Felleisen, M., Hieb, R.: The revised report on the syntactic theories of sequential control and state. Theoretical Computer Science 103(2), 235–271 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  16. Friedman, D.P., Ghuloum, A., Siek, J.G., Winebarger, L.: Improving the lazy Krivine machine. Higher-Order and Symbolic Computation 20(3), 271–293 (2007)

    Article  MATH  Google Scholar 

  17. Fünfrocken, S.: Transparent migration of Java-based mobile agents. In: Rothermel, K., Hohl, F. (eds.) MA 1998. LNCS, vol. 1477, pp. 26–37. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  18. Garcia, R., Lumsdaine, A., Sabry, A.: Lazy evaluation and delimited control. In: Pierce, B.C. (ed.) Proceedings of the Thirty-Sixth Annual ACM Symposium on Principles of Programming Languages, SIGPLAN Notices, Savannah, GA, vol. 44(1), pp. 153–164. ACM Press, New York (2009)

    Google Scholar 

  19. Henderson, P., Morris Jr., J.H.: A lazy evaluator. In: Graham, S.L. (ed.) Proceedings of the Third Annual ACM Symposium on Principles of Programming Languages, pp. 95–103. ACM Press, New York (1976)

    Google Scholar 

  20. Huet, G.: The zipper. Journal of Functional Programming 7(5), 549–554 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  21. Josephs, M.B.: The semantics of lazy functional languages. Theoretical Computer Science 68, 105–111 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  22. Landin, P.J.: The mechanical evaluation of expressions. The Computer Journal 6(4), 308–320 (1964)

    MATH  Google Scholar 

  23. Launchbury, J.: A natural semantics for lazy evaluation. In: Graham, S.L. (ed.) Proceedings of the Twentieth Annual ACM Symposium on Principles of Programming Languages, Charleston, South Carolina, pp. 144–154. ACM Press, New York (1993)

    Google Scholar 

  24. Loitsch, F.: Scheme to JavaScript Compilation. PhD thesis, Université de Nice, Nice, France (March 2009)

    Google Scholar 

  25. Maraist, J., Odersky, M., Wadler, P.: The call-by-need lambda calculus. Journal of Functional Programming 8(3), 275–317 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  26. Munk, J.: A study of syntactic and semantic artifacts and its application to lambda definability, strong normalization, and weak normalization in the presence of state. Master’s thesis, Department of Computer Science, Aarhus University, Aarhus, Denmark. BRICS research report RS-08-3 (May 2007)

    Google Scholar 

  27. Ohori, A., Sasano, I.: Lightweight fusion by fixed point promotion. In: Felleisen, M. (ed.) Proceedings of the Thirty-Fourth Annual ACM Symposium on Principles of Programming Languages, SIGPLAN Notices, Nice, France, vol. 42(1), pp. 143–154. ACM Press, New York (2007)

    Chapter  Google Scholar 

  28. Pettyjohn, G., Clements, J., Marshall, J., Krishnamurthi, S., Felleisen, M.: Continuations from generalized stack inspection. In: Pierce, B. (ed.) Proceedings of the 2005 ACM SIGPLAN International Conference on Functional Programming (ICFP 2005), SIGPLAN Notices, Tallinn, Estonia, vol. 40(9), pp. 216–227. ACM Press, New York (2005)

    Chapter  Google Scholar 

  29. Reynolds, J.C.: Definitional interpreters for higher-order programming languages. In: Proceedings of 25th ACM National Conference, Boston, Massachusetts, pp. 717–740 (1972); Reprinted in Higher-Order and Symbolic Computation 11(4), 363–397 (1998), with a foreword [30]

    Google Scholar 

  30. Reynolds, J.C.: Definitional interpreters revisited. Higher-Order and Symbolic Computation 11(4), 355–361 (1998)

    Article  MATH  Google Scholar 

  31. Sekiguchi, T., Masuhara, H., Yonezawa, A.: A simple extension of Java language for controllable transparent migration and its portable implementation. In: Ciancarini, P., Wolf, A.L. (eds.) COORDINATION 1999. LNCS, vol. 1594, pp. 211–226. Springer, Heidelberg (1999)

    Google Scholar 

  32. Sestoft, P.: Deriving a lazy abstract machine. Journal of Functional Programming 7(3), 231–264 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  33. Tao, W.: A portable mechanism for thread persistence and migration. PhD thesis, University of Utah, Salt Lake City, Utah (2001)

    Google Scholar 

  34. Zerny, I.: On graph rewriting, reduction and evaluation. In: Horváth, Z., Zsók, V., Achten, P., Koopman, P. (eds.) Trends in Functional Programming, Komárno, Slovakia, June 2009, vol. 10. Intellect Books (2009) (to appear)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Computer Science, Aarhus University, Aabogade 34, 8200, Aarhus N, Denmark

    Olivier Danvy & Ian Zerny

  2. Google, Aabogade 15, 8200, Aarhus N, Denmark

    Kevin Millikin

  3. Arctic Lake Systems, Aabogade 15, 8200, Aarhus N, Denmark

    Johan Munk

Authors
  1. Olivier Danvy
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  2. Kevin Millikin
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  3. Johan Munk
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  4. Ian Zerny
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Editor information

Editors and Affiliations

  1. Google, 20 West Kinzie Street, 60610, Chicago, IL, USA

    Matthias Blume

  2. Department of Computer and Mathematical Sciences, Tohoku University, 6-3-9 Aoba, Aramaki, Aoba-ku, Sendai-shi, 980-8579, Miyagi, Japan

    Naoki Kobayashi

  3. DSIC, MiST, Technical University of Valencia, Camino de Vera, S/N, 46022, Valencia, Spain

    Germán Vidal

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Danvy, O., Millikin, K., Munk, J., Zerny, I. (2010). Defunctionalized Interpreters for Call-by-Need Evaluation. In: Blume, M., Kobayashi, N., Vidal, G. (eds) Functional and Logic Programming. FLOPS 2010. Lecture Notes in Computer Science, vol 6009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12251-4_18

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  • DOI: https://doi.org/10.1007/978-3-642-12251-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12250-7

  • Online ISBN: 978-3-642-12251-4

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