Abstract
We propose a method to extract purely functional contents from logical inductive types in the context of the Calculus of Inductive Constructions. This method is based on a mode consistency analysis, which verifies if a computation is possible w.r.t. the selected inputs/outputs, and the code generation itself. We prove that this extraction is sound w.r.t. the Calculus of Inductive Constructions. Finally, we present some optimizations, as well as the implementation designed in the coq proof assistant framework.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Attali, I., Parigot, D.: Integrating Natural Semantics and Attribute Grammars: the Minotaur System. Technical Report 2339, INRIA (1994)
Berghofer, S., Nipkow, T.: Executing Higher Order Logic. In: Callaghan, P., Luo, Z., McKinna, J., Pollack, R. (eds.) TYPES 2000. LNCS, vol. 2277, pp. 24–40. Springer, Heidelberg (2002)
Borras, P., Clément, D., Despeyroux, T., Incerpi, J., Kahn, G., Lang, B., Pascual, V.: Centaur: the System. ACM SIGSOFT/SIGPLAN Software Engineering Symposium on Practical Software Development Environments (PSDE) 24(2), 14–24 (1988)
Dubois, C., Gayraud, R.: Compilation de la sémantique naturelle vers ML. In: Weis, P. (ed.) Journées Francophones des Langages Applicatifs (JFLA), Morzine-Avoriaz (France) (February 1999)
Hermenegildo, M.V., Puebla, G., Bueno, F., López-García, P.: Integrated Program Debugging, Verification, and Optimization using Abstract Interpretation (and the Ciao System Preprocessor). Science of Computer Programming 58(1-2), 115–140 (2005)
Letouzey, P.: A New Extraction for Coq. In: Geuvers, H., Wiedijk, F. (eds.) TYPES 2002. LNCS, vol. 2646, pp. 200–219. Springer, Heidelberg (2003)
Overton, D., Somogyi, Z., Stuckey, P.J.: Constraint-based Mode Analysis of Mercury. In: Principles and Practice of Declarative Programming (PPDP), Pittsburgh (PA, USA), October 2002, pp. 109–120. ACM Press, New York (2002)
Pettersson, M.: A Compiler for Natural Semantics. In: Gyimóthy, T. (ed.) CC 1996. LNCS, vol. 1060, pp. 177–191. Springer, Heidelberg (1996)
Stärk, R.F.: Input/Output Dependencies of Normal Logic Programs. Journal of Logic and Computation 4(3), 249–262 (1994)
The Coq Development Team: Coq, version 8.1. INRIA (November 2006), available at: http://coq.inria.fr/
The Cristal Team: Objective Caml, version 3.09.3. INRIA (September 2006), available at: http://caml.inria.fr/
Verdejo, A., Martí-Oliet, N.: Executable Structural Operational Semantics in Maude. Journal of Logic and Algebraic Programming 67(1-2), 226–293 (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Delahaye, D., Dubois, C., Étienne, JF. (2007). Extracting Purely Functional Contents from Logical Inductive Types. In: Schneider, K., Brandt, J. (eds) Theorem Proving in Higher Order Logics. TPHOLs 2007. Lecture Notes in Computer Science, vol 4732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74591-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-74591-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74590-7
Online ISBN: 978-3-540-74591-4
eBook Packages: Computer ScienceComputer Science (R0)