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DOI: 10.4230/LIPIcs.TYPES.2014.47

Objects and Subtyping in the Lambda-Pi-Calculus Modulo

Authors: Raphaël Cauderlier and Catherine Dubois

Published in: LIPIcs, Volume 39, 20th International Conference on Types for Proofs and Programs (TYPES 2014)

Abstract

We present a shallow embedding of the Object Calculus of Abadi and Cardelli in the lambda-Pi-calculus modulo, an extension of the lambda-Pi-calculus with rewriting. This embedding may be used as an example of translation of subtyping. We prove this embedding correct with respect to the operational semantics and the type system of the Object Calculus. We implemented a translation tool from the Object Calculus to Dedukti, a type-checker for the lambda-Pi-calculus modulo.

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Raphaël Cauderlier and Catherine Dubois. Objects and Subtyping in the Lambda-Pi-Calculus Modulo. In 20th International Conference on Types for Proofs and Programs (TYPES 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 39, pp. 47-71, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{cauderlier_et_al:LIPIcs.TYPES.2014.47,
  author =	{Cauderlier, Rapha\"{e}l and Dubois, Catherine},
  title =	{{Objects and Subtyping in the Lambda-Pi-Calculus Modulo}},
  booktitle =	{20th International Conference on Types for Proofs and Programs (TYPES 2014)},
  pages =	{47--71},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-88-0},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{39},
  editor =	{Herbelin, Hugo and Letouzey, Pierre and Sozeau, Matthieu},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2014.47},
  URN =		{urn:nbn:de:0030-drops-54919},
  doi =		{10.4230/LIPIcs.TYPES.2014.47},
  annote =	{Keywords: object, calculus, encoding, dependent type, rewrite system}
}

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DOI: 10.4230/LIPIcs.FSTTCS.2011.191

Conditional Reactive Systems

Authors: H. J. Sander Bruggink, Raphaël Cauderlier, Mathias Hülsbusch, and Barbara König

Published in: LIPIcs, Volume 13, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)

Abstract

We lift the notion of nested application conditions from graph transformation systems to the general categorical setting of reactive systems as defined by Leifer and Milner. This serves two purposes: first, we enrich the formalism of reactive systems by adding application conditions for rules; second, it turns out that some constructions for graph transformation systems (such as computing weakest preconditions and strongest postconditions and showing local confluence by means of critical pair analysis) can be done very elegantly in the more general setting.

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H. J. Sander Bruggink, Raphaël Cauderlier, Mathias Hülsbusch, and Barbara König. Conditional Reactive Systems. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 13, pp. 191-203, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{bruggink_et_al:LIPIcs.FSTTCS.2011.191,
  author =	{Bruggink, H. J. Sander and Cauderlier, Rapha\"{e}l and H\"{u}lsbusch, Mathias and K\"{o}nig, Barbara},
  title =	{{Conditional Reactive Systems}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)},
  pages =	{191--203},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-34-7},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{13},
  editor =	{Chakraborty, Supratik and Kumar, Amit},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2011.191},
  URN =		{urn:nbn:de:0030-drops-33257},
  doi =		{10.4230/LIPIcs.FSTTCS.2011.191},
  annote =	{Keywords: reactive systems, graph transformation, graph logic, Hoare triples, critical pair analysis}
}

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Documents authored by Cauderlier, Raphaël

Objects and Subtyping in the Lambda-Pi-Calculus Modulo

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Conditional Reactive Systems

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