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Documents authored by Guzmán, Michell

Document
DOI: 10.4230/LIPIcs.CONCUR.2019.29
Reasoning About Distributed Knowledge of Groups with Infinitely Many Agents

Authors: Michell Guzmán, Sophia Knight, Santiago Quintero, Sergio Ramírez, Camilo Rueda, and Frank Valencia

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

Abstract
Spatial constraint systems (scs) are semantic structures for reasoning about spatial and epistemic information in concurrent systems. We develop the theory of scs to reason about the distributed information of potentially infinite groups. We characterize the notion of distributed information of a group of agents as the infimum of the set of join-preserving functions that represent the spaces of the agents in the group. We provide an alternative characterization of this notion as the greatest family of join-preserving functions that satisfy certain basic properties. We show compositionality results for these characterizations and conditions under which information that can be obtained by an infinite group can also be obtained by a finite group. Finally, we provide algorithms that compute the distributive group information of finite groups.
Cite as

Michell Guzmán, Sophia Knight, Santiago Quintero, Sergio Ramírez, Camilo Rueda, and Frank Valencia. Reasoning About Distributed Knowledge of Groups with Infinitely Many Agents. In 30th International Conference on Concurrency Theory (CONCUR 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 140, pp. 29:1-29:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@InProceedings{guzman_et_al:LIPIcs.CONCUR.2019.29,
  author =	{Guzm\'{a}n, Michell and Knight, Sophia and Quintero, Santiago and Ram{\'\i}rez, Sergio and Rueda, Camilo and Valencia, Frank},
  title =	{{Reasoning About Distributed Knowledge of Groups with Infinitely Many Agents}},
  booktitle =	{30th International Conference on Concurrency Theory (CONCUR 2019)},
  pages =	{29:1--29:15},
  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.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2019.29},
  URN =		{urn:nbn:de:0030-drops-109314},
  doi =		{10.4230/LIPIcs.CONCUR.2019.29},
  annote =	{Keywords: Reasoning about Groups, Distributed Knowledge, Infinitely Many Agents, Reasoning about Space, Algebraic Modeling}
}
Document
DOI: 10.4230/OASIcs.ICLP.2016.16
On the Expressiveness of Spatial Constraint Systems

Authors: Michell Guzmán and Frank D. Valencia

Published in: OASIcs, Volume 52, Technical Communications of the 32nd International Conference on Logic Programming (ICLP 2016)

Abstract
In this paper we shall report on our progress using spatial constraint system as an abstract representation of modal and epistemic behaviour. First we shall give an introduction as well as the background to our work. Then, we present our preliminary results on the representation of modal behaviour by using spatial constraint systems. Then, we present our ongoing work on the characterization of the epistemic notion of knowledge. Finally, we discuss about the future work of our research.
Cite as

Michell Guzmán and Frank D. Valencia. On the Expressiveness of Spatial Constraint Systems. In Technical Communications of the 32nd International Conference on Logic Programming (ICLP 2016). Open Access Series in Informatics (OASIcs), Volume 52, pp. 16:1-16:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{guzman_et_al:OASIcs.ICLP.2016.16,
  author =	{Guzm\'{a}n, Michell and Valencia, Frank D.},
  title =	{{On the Expressiveness of Spatial Constraint Systems}},
  booktitle =	{Technical Communications of the 32nd International Conference on Logic Programming (ICLP 2016)},
  pages =	{16:1--16:12},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-007-1},
  ISSN =	{2190-6807},
  year =	{2016},
  volume =	{52},
  editor =	{Carro, Manuel and King, Andy and Saeedloei, Neda and De Vos, Marina},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ICLP.2016.16},
  URN =		{urn:nbn:de:0030-drops-67469},
  doi =		{10.4230/OASIcs.ICLP.2016.16},
  annote =	{Keywords: Epistemic logic, Modal logic, Constraint systems, Concurrent constraint programming}
}
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