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Documents authored by Fokkink, Wan


Document
Are Two Binary Operators Necessary to Finitely Axiomatise Parallel Composition?

Authors: Luca Aceto, Valentina Castiglioni, Wan Fokkink, Anna Ingólfsdóttir, and Bas Luttik

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)


Abstract
Bergstra and Klop have shown that bisimilarity has a finite equational axiomatisation over ACP/CCS extended with the binary left and communication merge operators. Moller proved that auxiliary operators are necessary to obtain a finite axiomatisation of bisimilarity over CCS, and Aceto et al. showed that this remains true when Hennessy’s merge is added to that language. These results raise the question of whether there is one auxiliary binary operator whose addition to CCS leads to a finite axiomatisation of bisimilarity. This study provides a negative answer to that question based on three reasonable assumptions.

Cite as

Luca Aceto, Valentina Castiglioni, Wan Fokkink, Anna Ingólfsdóttir, and Bas Luttik. Are Two Binary Operators Necessary to Finitely Axiomatise Parallel Composition?. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 8:1-8:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{aceto_et_al:LIPIcs.CSL.2021.8,
  author =	{Aceto, Luca and Castiglioni, Valentina and Fokkink, Wan and Ing\'{o}lfsd\'{o}ttir, Anna and Luttik, Bas},
  title =	{{Are Two Binary Operators Necessary to Finitely Axiomatise Parallel Composition?}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{8:1--8:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.8},
  URN =		{urn:nbn:de:0030-drops-134425},
  doi =		{10.4230/LIPIcs.CSL.2021.8},
  annote =	{Keywords: Equational logic, CCS, bisimulation, parallel composition, non-finitely based algebras}
}
Document
Complete Volume
LIPIcs, Volume 140, CONCUR'19, Complete Volume

Authors: Wan Fokkink and Rob van Glabbeek

Published in: LIPIcs, Volume 140, 30th International Conference on Concurrency Theory (CONCUR 2019)


Abstract
LIPIcs, Volume 140, CONCUR'19, Complete Volume

Cite as

30th International Conference on Concurrency Theory (CONCUR 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 140, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@Proceedings{fokkink_et_al:LIPIcs.CONCUR.2019,
  title =	{{LIPIcs, Volume 140, CONCUR'19, Complete Volume}},
  booktitle =	{30th International Conference on Concurrency Theory (CONCUR 2019)},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-121-4},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{140},
  editor =	{Fokkink, Wan and van Glabbeek, Rob},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2019},
  URN =		{urn:nbn:de:0030-drops-112105},
  doi =		{10.4230/LIPIcs.CONCUR.2019},
  annote =	{Keywords: Theory of computation, Concurrency}
}
Document
Front Matter
Front Matter, Table of Contents, Preface, Conference Organization

Authors: Wan Fokkink and Rob van Glabbeek

Published in: LIPIcs, Volume 140, 30th International Conference on Concurrency Theory (CONCUR 2019)


Abstract
Front Matter, Table of Contents, Preface, Conference Organization

Cite as

30th International Conference on Concurrency Theory (CONCUR 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 140, pp. 0:i-0:xiv, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@InProceedings{fokkink_et_al:LIPIcs.CONCUR.2019.0,
  author =	{Fokkink, Wan and van Glabbeek, Rob},
  title =	{{Front Matter, Table of Contents, Preface, Conference Organization}},
  booktitle =	{30th International Conference on Concurrency Theory (CONCUR 2019)},
  pages =	{0:i--0:xiv},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-121-4},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{140},
  editor =	{Fokkink, Wan and van Glabbeek, Rob},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2019.0},
  URN =		{urn:nbn:de:0030-drops-109026},
  doi =		{10.4230/LIPIcs.CONCUR.2019.0},
  annote =	{Keywords: Front Matter, Table of Contents, Preface, Conference Organization}
}
Document
Divide and Congruence III: Stability & Divergence

Authors: Wan Fokkink, Rob van Glabbeek, and Bas Luttik

Published in: LIPIcs, Volume 85, 28th International Conference on Concurrency Theory (CONCUR 2017)


Abstract
In two earlier papers we derived congruence formats for weak semantics on the basis of a decomposition method for modal formulas. The idea is that a congruence format for a semantics must ensure that the formulas in the modal characterisation of this semantics are always decomposed into formulas that are again in this modal characterisation. Here this work is extended with important stability and divergence requirements. Stability refers to the absence of a tau-transition. We show, using the decomposition method, how congruence formats can be relaxed for weak semantics that are stability-respecting. Divergence, which refers to the presence of an infinite sequence of tau-transitions, escapes the inductive decomposition method. We circumvent this problem by proving that a congruence format for a stability-respecting weak semantics is also a congruence format for its divergence-preserving counterpart.

Cite as

Wan Fokkink, Rob van Glabbeek, and Bas Luttik. Divide and Congruence III: Stability & Divergence. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 15:1-15:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{fokkink_et_al:LIPIcs.CONCUR.2017.15,
  author =	{Fokkink, Wan and van Glabbeek, Rob and Luttik, Bas},
  title =	{{Divide and Congruence III: Stability \& Divergence}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{15:1--15:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Meyer, Roland and Nestmann, Uwe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2017.15},
  URN =		{urn:nbn:de:0030-drops-77855},
  doi =		{10.4230/LIPIcs.CONCUR.2017.15},
  annote =	{Keywords: Structural Operational Semantics, Compositionality, Congruence, Modal Logic, Modal Decomposition, Weak Semantics, Divergence}
}
Document
Precongruence Formats with Lookahead through Modal Decomposition

Authors: Wan Fokkink and Rob J. van Glabbeek

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)


Abstract
Bloom, Fokkink & van Glabbeek (2004) presented a method to decompose formulas from Hennessy-Milner logic with regard to a structural operational semantics specification. A term in the corresponding process algebra satisfies a Hennessy-Milner formula if and only if its subterms satisfy certain formulas, obtained by decomposing the original formula. They used this decomposition method to derive congruence formats in the realm of structural operational semantics. In this paper it is shown how this framework can be extended to specifications that include bounded lookahead in their premises. This extension is used in the derivation of a congruence format for the partial trace preorder.

Cite as

Wan Fokkink and Rob J. van Glabbeek. Precongruence Formats with Lookahead through Modal Decomposition. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 25:1-25:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{fokkink_et_al:LIPIcs.CSL.2017.25,
  author =	{Fokkink, Wan and van Glabbeek, Rob J.},
  title =	{{Precongruence Formats with Lookahead through Modal Decomposition}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{25:1--25:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.25},
  URN =		{urn:nbn:de:0030-drops-76776},
  doi =		{10.4230/LIPIcs.CSL.2017.25},
  annote =	{Keywords: Structural Operational Semantics, Compositionality, Congruence, Modal Logic, Modal Decomposition, Lookahead}
}
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