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HORPO with Computability Closure: A Reconstruction

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Logic for Programming, Artificial Intelligence, and Reasoning (LPAR 2007)

Abstract

This paper provides a new, decidable definition of the higher-order recursive path ordering in which type comparisons are made only when needed, therefore eliminating the need for the computability closure, and bound variables are handled explicitly, making it possible to handle recursors for arbitrary strictly positive inductive types.

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References

  1. Blanqui, F. (HO)RPO revisited. Research Report 5972, INRIA (2006)

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  2. Blanqui, F., Jouannaud, J.-P., Rubio, A.: Higher order termination: from Kruskal to computability. In: Hermann, M., Voronkov, A. (eds.) LPAR 2006. LNCS (LNAI), vol. 4246, Springer, Heidelberg (2006)

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  3. Jouannaud, J.-P., Rubio, A.: The higher-order recursive path ordering. In: 14th IEEE Symposium on Logic in Computer Science, IEEE Computer Society Press, Los Alamitos (1999)

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Nachum Dershowitz Andrei Voronkov

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© 2007 Springer-Verlag Berlin Heidelberg

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Blanqui, F., Jouannaud, JP., Rubio, A. (2007). HORPO with Computability Closure: A Reconstruction. In: Dershowitz, N., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2007. Lecture Notes in Computer Science(), vol 4790. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75560-9_12

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  • DOI: https://doi.org/10.1007/978-3-540-75560-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75558-6

  • Online ISBN: 978-3-540-75560-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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