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Finally tagless, partially evaluated: Tagless staged interpreters for simpler typed languages

  • JACQUES CARETTE (a1), OLEG KISELYOV (a2) and CHUNG-CHIEH SHAN (a3)
Abstract

We have built the first family of tagless interpretations for a higher-order typed object language in a typed metalanguage (Haskell or ML) that require no dependent types, generalized algebraic data types, or postprocessing to eliminate tags. The statically type-preserving interpretations include an evaluator, a compiler (or staged evaluator), a partial evaluator, and call-by-name and call-by-value continuation-passing style (CPS) transformers. Our principal technique is to encode de Bruijn or higher-order abstract syntax using combinator functions rather than data constructors. In other words, we represent object terms not in an initial algebra but using the coalgebraic structure of the λ-calculus. Our representation also simulates inductive maps from types to types, which are required for typed partial evaluation and CPS transformations. Our encoding of an object term abstracts uniformly over the family of ways to interpret it, yet statically assures that the interpreters never get stuck. This family of interpreters thus demonstrates again that it is useful to abstract over higher-kinded types.

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  • Cited by 78
  • Cited by
    Crossref Citations
    Crossref logo
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Zhang, Weixin and Oliveira, Bruno C. d. S. 2018. Pattern matching in an open world. p. 134.
    Carette, Jacques Farmer, William M. and Sharoda, Yasmine 2018. Intelligent Computer Mathematics. Vol. 11006, Issue. , p. 76.
    Yallop, Jeremy Sheets, David and Madhavapeddy, Anil 2018. A modular foreign function interface. Science of Computer Programming, Vol. 164, Issue. , p. 82.
    Farmer, William M. 2018. Incorporating quotation and evaluation into Church's type theory. Information and Computation, Vol. 260, Issue. , p. 9.
    Watanabe, Takahisa and Kameyama, Yukiyoshi 2018. Program generation for ML modules (short paper). p. 60.
    Cheng, Chen-Mou Hsu, Ruey-Lin and Mu, Shin-Cheng 2018. Functional and Logic Programming. Vol. 10818, Issue. , p. 68.
    Ścibior, Adam Kammar, Ohad and Ghahramani, Zoubin 2018. Functional programming for modular Bayesian inference. Proceedings of the ACM on Programming Languages, Vol. 2, Issue. ICFP, p. 1.
    Broman, David and Siek, Jeremy G. 2018. Gradually typed symbolic expressions. p. 15.
    Watanabe, Takahisa and Kameyama, Yukiyoshi 2018. Program generation for ML modules (short paper). p. 60.
    Kiselyov, Oleg and Sivaramakrishnan, KC 2018. Eff Directly in OCaml. Electronic Proceedings in Theoretical Computer Science, Vol. 285, Issue. , p. 23.
    Crockett, Eric Peikert, Chris and Sharp, Chad 2018. ALCHEMY. p. 1020.
    Torrini, Paolo Nowak, David Jomaa, Narjes and Cherif, Mohamed Sami 2018. Verified Software. Theories, Tools, and Experiments. Vol. 11294, Issue. , p. 155.
    Kiselyov, Oleg 2018. Functional and Logic Programming. Vol. 10818, Issue. , p. 33.
    Koopman, Pieter Lubbers, Mart and Plasmeijer, Rinus 2018. A Task-Based DSL for Microcomputers. p. 1.
    Yallop, Jeremy von Glehn, Tamara and Kammar, Ohad 2018. Partially-static data as free extension of algebras. Proceedings of the ACM on Programming Languages, Vol. 2, Issue. ICFP, p. 1.
    Ostermann, Klaus and Jabs, Julian 2018. Programming Languages and Systems. Vol. 10801, Issue. , p. 60.
    Broman, David and Siek, Jeremy G. 2018. Gradually typed symbolic expressions. p. 15.
    Matsuda, Kazutaka and Wang, Meng 2018. Embedding invertible languages with binders: a case of the FliPpr language. ACM SIGPLAN Notices, Vol. 53, Issue. 7, p. 158.
    Yallop, Jeremy 2017. Staged generic programming. Proceedings of the ACM on Programming Languages, Vol. 1, Issue. ICFP, p. 1.
    Amin, Nada and Rompf, Tiark 2017. Collapsing towers of interpreters. Proceedings of the ACM on Programming Languages, Vol. 2, Issue. POPL, p. 1.
    Download full list
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  • Get access
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Finally tagless, partially evaluated: Tagless staged interpreters for simpler typed languages

  • JACQUES CARETTE (a1), OLEG KISELYOV (a2) and CHUNG-CHIEH SHAN (a3)
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