2 Search Results for "Liu, Xinxin"


Document
Invited Talk
On-The-Fly Verification: Advancements in Dependency Graphs (Invited Talk)

Authors: Jiří Srba

Published in: LIPIcs, Volume 348, 36th International Conference on Concurrency Theory (CONCUR 2025)


Abstract
Dependency graphs have emerged as a versatile and powerful formalism with wide-ranging applications in formal verification. In this extended abstract, we provide an overview of selected advancements in on-the-fly verification techniques based on dependency graphs, focusing on the recent developments, optimizations and generalizations of this generic verification framework.

Cite as

Jiří Srba. On-The-Fly Verification: Advancements in Dependency Graphs (Invited Talk). In 36th International Conference on Concurrency Theory (CONCUR 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 348, pp. 3:1-3:5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)


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@InProceedings{srba:LIPIcs.CONCUR.2025.3,
  author =	{Srba, Ji\v{r}{\'\i}},
  title =	{{On-The-Fly Verification: Advancements in Dependency Graphs}},
  booktitle =	{36th International Conference on Concurrency Theory (CONCUR 2025)},
  pages =	{3:1--3:5},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-389-8},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{348},
  editor =	{Bouyer, Patricia and van de Pol, Jaco},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2025.3},
  URN =		{urn:nbn:de:0030-drops-239534},
  doi =		{10.4230/LIPIcs.CONCUR.2025.3},
  annote =	{Keywords: dependency graphs, Boolean equation systems, on-the-fly algorithms, fixed-point computation, applications}
}
Document
Canonical Solutions to Recursive Equations and Completeness of Equational Axiomatisations

Authors: Xinxin Liu and TingTing Yu

Published in: LIPIcs, Volume 171, 31st International Conference on Concurrency Theory (CONCUR 2020)


Abstract
In this paper we prove completeness of four axiomatisations for finite-state behaviours with respect to behavioural equivalences at various τ-abstract levels: branching congruence, delay congruence, η-congruence, and weak congruence. Instead of merging guarded recursive equations, which was the approach originally used by Robin Milner and has since become the standard strategy for proving completeness results of this kind, in this work we take a new approach by solving guarded recursive equations with canonical solutions which are those with the fewest reachable states. The new strategy allows uniform treatment of the axiomatisations with respect to different behavioural equivalences.

Cite as

Xinxin Liu and TingTing Yu. Canonical Solutions to Recursive Equations and Completeness of Equational Axiomatisations. In 31st International Conference on Concurrency Theory (CONCUR 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 171, pp. 35:1-35:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{liu_et_al:LIPIcs.CONCUR.2020.35,
  author =	{Liu, Xinxin and Yu, TingTing},
  title =	{{Canonical Solutions to Recursive Equations and Completeness of Equational Axiomatisations}},
  booktitle =	{31st International Conference on Concurrency Theory (CONCUR 2020)},
  pages =	{35:1--35:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-160-3},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{171},
  editor =	{Konnov, Igor and Kov\'{a}cs, Laura},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2020.35},
  URN =		{urn:nbn:de:0030-drops-128479},
  doi =		{10.4230/LIPIcs.CONCUR.2020.35},
  annote =	{Keywords: Bisimulation, Congruence, Axiomatisation, Soundness and Completeness}
}
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