3 Search Results for "Vidal, German"

Document
DOI: 10.4230/LIPIcs.FSCD.2016.28
Reversible Term Rewriting

Authors: Naoki Nishida, Adrián Palacios, and Germán Vidal

Published in: LIPIcs, Volume 52, 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)

Abstract
Essentially, in a reversible programming language, for each forward computation step from state S to state S', there exists a constructive and deterministic method to go backwards from state S' to state S. Besides its theoretical interest, reversible computation is a fundamental concept which is relevant in many different areas like cellular automata, bidirectional program transformation, or quantum computing, to name a few. In this paper, we focus on term rewriting, a computation model that underlies most rule-based programming languages. In general, term rewriting is not reversible, even for injective functions; namely, given a rewrite step t1 -> t2, we do not always have a decidable and deterministic method to get t1 from t2. Here, we introduce a conservative extension of term rewriting that becomes reversible. Furthermore, we also define a transformation to make a rewrite system reversible using standard term rewriting.
Cite as

Naoki Nishida, Adrián Palacios, and Germán Vidal. Reversible Term Rewriting. In 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 52, pp. 28:1-28:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{nishida_et_al:LIPIcs.FSCD.2016.28,
  author =	{Nishida, Naoki and Palacios, Adri\'{a}n and Vidal, Germ\'{a}n},
  title =	{{Reversible Term Rewriting}},
  booktitle =	{1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
  pages =	{28:1--28:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-010-1},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{52},
  editor =	{Kesner, Delia and Pientka, Brigitte},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2016.28},
  URN =		{urn:nbn:de:0030-drops-59841},
  doi =		{10.4230/LIPIcs.FSCD.2016.28},
  annote =	{Keywords: term rewriting, reversible computation, program transformation}
}
Document
DOI: 10.4230/OASIcs.WPTE.2015.19
Towards Modelling Actor-Based Concurrency in Term Rewriting

Authors: Adrián Palacios and Germán Vidal

Published in: OASIcs, Volume 46, 2nd International Workshop on Rewriting Techniques for Program Transformations and Evaluation (WPTE 2015)

Abstract
In this work, we introduce a scheme for modelling actor systems within sequential term rewriting. In our proposal, a TRS consists of the union of three components: the functional part (which is specific of a system), a set of rules for reducing concurrent actions, and a set of rules for defining a particular scheduling policy. A key ingredient of our approach is that concurrent systems are modelled by terms in which concurrent actions can never occur inside user-defined function calls. This assumption greatly simplifies the definition of the semantics for concurrent actions, since no term traversal will be needed. We prove that these systems are well defined in the sense that concurrent actions can always be reduced. Our approach can be used as a basis for modelling actor-based concurrent programs, which can then be analyzed using existing techniques for term rewrite systems.
Cite as

Adrián Palacios and Germán Vidal. Towards Modelling Actor-Based Concurrency in Term Rewriting. In 2nd International Workshop on Rewriting Techniques for Program Transformations and Evaluation (WPTE 2015). Open Access Series in Informatics (OASIcs), Volume 46, pp. 19-29, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{palacios_et_al:OASIcs.WPTE.2015.19,
  author =	{Palacios, Adri\'{a}n and Vidal, Germ\'{a}n},
  title =	{{Towards Modelling Actor-Based Concurrency in Term Rewriting}},
  booktitle =	{2nd International Workshop on Rewriting Techniques for Program Transformations and Evaluation (WPTE 2015)},
  pages =	{19--29},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-94-1},
  ISSN =	{2190-6807},
  year =	{2015},
  volume =	{46},
  editor =	{Chiba, Yuki and Escobar, Santiago and Nishida, Naoki and Sabel, David and Schmidt-Schau{\ss}, Manfred},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/OASIcs.WPTE.2015.19},
  URN =		{urn:nbn:de:0030-drops-51792},
  doi =		{10.4230/OASIcs.WPTE.2015.19},
  annote =	{Keywords: concurrency, actor model, rewriting}
}
Document
DOI: 10.4230/LIPIcs.RTA.2011.283
Program Inversion for Tail Recursive Functions

Authors: Naoki Nishida and German Vidal

Published in: LIPIcs, Volume 10, 22nd International Conference on Rewriting Techniques and Applications (RTA'11) (2011)

Abstract
Program inversion is a fundamental problem that has been addressed in many different programming settings and applications. In the context of term rewriting, several methods already exist for computing the inverse of an injective function. These methods, however, usually return non-terminating inverted functions when the considered function is tail recursive. In this paper, we propose a direct and intuitive approach to the inversion of tail recursive functions. Our new technique is able to produce good results even without the use of an additional post-processing of determinization or completion. Moreover, when combined with a traditional approach to program inversion, it constitutes a promising approach to define a general method for program inversion. Our experimental results confirm that the new technique compares well with previous approaches.
Cite as

Naoki Nishida and German Vidal. Program Inversion for Tail Recursive Functions. In 22nd International Conference on Rewriting Techniques and Applications (RTA'11). Leibniz International Proceedings in Informatics (LIPIcs), Volume 10, pp. 283-298, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{nishida_et_al:LIPIcs.RTA.2011.283,
  author =	{Nishida, Naoki and Vidal, German},
  title =	{{Program Inversion for Tail Recursive Functions}},
  booktitle =	{22nd International Conference on Rewriting Techniques and Applications (RTA'11)},
  pages =	{283--298},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-30-9},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{10},
  editor =	{Schmidt-Schauss, Manfred},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.RTA.2011.283},
  URN =		{urn:nbn:de:0030-drops-31253},
  doi =		{10.4230/LIPIcs.RTA.2011.283},
  annote =	{Keywords: term rewriting, program transformation, termination}
}
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