11 Search Results for "Brim, Lubos"

Document
DOI: 10.4230/LIPIcs.CP.2025.17
Scalable Counting of Minimal Trap Spaces and Fixed Points in Boolean Networks

Authors: Mohimenul Kabir, Van-Giang Trinh, Samuel Pastva, and Kuldeep S Meel

Published in: LIPIcs, Volume 340, 31st International Conference on Principles and Practice of Constraint Programming (CP 2025)

Abstract
Boolean Networks (BNs) serve as a fundamental modeling framework for capturing complex dynamical systems across various domains, including systems biology, computational logic, and artificial intelligence. A crucial property of BNs is the presence of trap spaces - subspaces of the state space that, once entered, cannot be exited. Minimal trap spaces, in particular, play a significant role in analyzing the long-term behavior of BNs, making their efficient enumeration and counting essential. The fixed points in BNs are a special case of minimal trap spaces. In this work, we formulate several meaningful counting problems related to minimal trap spaces and fixed points in BNs. These problems provide valuable insights both within BN theory (e.g., in probabilistic reasoning and dynamical analysis) and in broader application areas, including systems biology, abstract argumentation, and logic programming. To address these computational challenges, we propose novel methods based on approximate answer set counting, leveraging techniques from answer set programming. Our approach efficiently approximates the number of minimal trap spaces and the number of fixed points without requiring exhaustive enumeration, making it particularly well-suited for large-scale BNs. Our experimental evaluation on an extensive and diverse set of benchmark instances shows that our methods significantly improve the feasibility of counting minimal trap spaces and fixed points, paving the way for new applications in BN analysis and beyond.
Cite as

Mohimenul Kabir, Van-Giang Trinh, Samuel Pastva, and Kuldeep S Meel. Scalable Counting of Minimal Trap Spaces and Fixed Points in Boolean Networks. In 31st International Conference on Principles and Practice of Constraint Programming (CP 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 340, pp. 17:1-17:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{kabir_et_al:LIPIcs.CP.2025.17,
  author =	{Kabir, Mohimenul and Trinh, Van-Giang and Pastva, Samuel and Meel, Kuldeep S},
  title =	{{Scalable Counting of Minimal Trap Spaces and Fixed Points in Boolean Networks}},
  booktitle =	{31st International Conference on Principles and Practice of Constraint Programming (CP 2025)},
  pages =	{17:1--17:26},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-380-5},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{340},
  editor =	{de la Banda, Maria Garcia},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2025.17},
  URN =		{urn:nbn:de:0030-drops-238780},
  doi =		{10.4230/LIPIcs.CP.2025.17},
  annote =	{Keywords: Computational systems biology, Boolean network, Fixed point, Trap space, Answer set counting, Projected counting, Abstract argumentation, Logic programming}
}
Document
Track A: Algorithms, Complexity and Games
DOI: 10.4230/LIPIcs.ICALP.2025.71
Faster All-Pairs Optimal Electric Car Routing

Authors: Dani Dorfman, Haim Kaplan, Robert E. Tarjan, Mikkel Thorup, and Uri Zwick

Published in: LIPIcs, Volume 334, 52nd International Colloquium on Automata, Languages, and Programming (ICALP 2025)

Abstract
We present a randomized Õ(n^{3.5})-time algorithm for computing optimal energetic paths for an electric car between all pairs of vertices in an n-vertex directed graph with positive and negative costs, or gains, which are defined to be the negatives of the costs. The optimal energetic paths are finite and well-defined even if the graph contains negative-cost, or equivalently, positive-gain, cycles. This makes the problem much more challenging than standard shortest paths problems. More specifically, for every two vertices s and t in the graph, the algorithm computes α_B(s,t), the maximum amount of charge the car can reach t with, if it starts at s with full battery, i.e., with charge B, where B is the capacity of the battery. The algorithm also outputs a concise description of the optimal energetic paths that achieve these values. In the presence of positive-gain cycles, optimal paths are not necessarily simple. For dense graphs, our new Õ(n^{3.5}) time algorithm improves on a previous Õ(mn²)-time algorithm of Dorfman et al. [ESA 2023] for the problem. The gain of an arc is the amount of charge added to the battery of the car when traversing the arc. The charge in the battery can never exceed the capacity B of the battery and can never be negative. An arc of positive gain may correspond, for example, to a downhill road segment, while an arc with a negative gain may correspond to an uphill segment. A positive-gain cycle, if one exists, can be used in certain cases to charge the battery to its capacity. This makes the problem more interesting and more challenging. As mentioned, optimal energetic paths are well-defined even in the presence of positive-gain cycles. Positive-gain cycles may arise when certain road segments have magnetic charging strips, or when the electric car has solar panels. Combined with a result of Dorfman et al. [SOSA 2024], this also provides a randomized Õ(n^{3.5})-time algorithm for computing minimum-cost paths between all pairs of vertices in an n-vertex graph when the battery can be externally recharged, at varying costs, at intermediate vertices.
Cite as

Dani Dorfman, Haim Kaplan, Robert E. Tarjan, Mikkel Thorup, and Uri Zwick. Faster All-Pairs Optimal Electric Car Routing. In 52nd International Colloquium on Automata, Languages, and Programming (ICALP 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 334, pp. 71:1-71:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{dorfman_et_al:LIPIcs.ICALP.2025.71,
  author =	{Dorfman, Dani and Kaplan, Haim and Tarjan, Robert E. and Thorup, Mikkel and Zwick, Uri},
  title =	{{Faster All-Pairs Optimal Electric Car Routing}},
  booktitle =	{52nd International Colloquium on Automata, Languages, and Programming (ICALP 2025)},
  pages =	{71:1--71:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-372-0},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{334},
  editor =	{Censor-Hillel, Keren and Grandoni, Fabrizio and Ouaknine, Jo\"{e}l and Puppis, Gabriele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2025.71},
  URN =		{urn:nbn:de:0030-drops-234486},
  doi =		{10.4230/LIPIcs.ICALP.2025.71},
  annote =	{Keywords: EV routing, Shortest Paths, Shortcuts, Sampling}
}
Document
DOI: 10.4230/DagSemProc.09491.1
09491 Abstracts Collection – Graph Search Engineering

Authors: Lubos Brim, Stefan Edelkamp, Eric A. Hansen, and Peter Sanders

Published in: Dagstuhl Seminar Proceedings, Volume 9491, Graph Search Engineering (2010)

Abstract
From the 29th November to the 4th December 2009, the Dagstuhl Seminar 09491 ``Graph Search Engineering '' was held in Schloss Dagstuhl~--~Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Lubos Brim, Stefan Edelkamp, Eric A. Hansen, and Peter Sanders. 09491 Abstracts Collection – Graph Search Engineering. In Graph Search Engineering. Dagstuhl Seminar Proceedings, Volume 9491, pp. 1-31, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{brim_et_al:DagSemProc.09491.1,
  author =	{Brim, Lubos and Edelkamp, Stefan and Hansen, Eric A. and Sanders, Peter},
  title =	{{09491 Abstracts Collection – Graph Search Engineering}},
  booktitle =	{Graph Search Engineering},
  pages =	{1--31},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{9491},
  editor =	{Lubos Brim and Stefan Edelkamp and Erik A. Hansen and Peter Sanders},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09491.1},
  URN =		{urn:nbn:de:0030-drops-24315},
  doi =		{10.4230/DagSemProc.09491.1},
  annote =	{Keywords: Model Checking, Artificial Intelligence, AI Planning, State Explosion Problem, Error Detection, Protocol Analysis, Software Verification and Validation, Heuristics, Pattern/Abstraction Databases, I/O Efficient Search, Solid State Disks, GPU}
}
Document
DOI: 10.4230/DagSemProc.09491.2
Dynamic State-Space Partitioning in External-Memory Graph Search

Authors: Rong Zhou and Eric A. Hansen

Published in: Dagstuhl Seminar Proceedings, Volume 9491, Graph Search Engineering (2010)

Abstract
State-of-the-art external-memory graph search algorithms rely on a hash function, or equivalently, a state-space projection function, that partitions the stored nodes of the state-space search graph into groups of nodes that are stored as separate files on disk. The scalability and efficiency of the search depends on properties of the partition: whether the number of unique nodes in a file always fits in RAM, the number of files into which the nodes of the state-space graph are partitioned, and how well the partitioning of the state space captures local structure in the graph. All previous work relies on a static partitioning of the state space. In this paper, we introduce a method for dynamic partitioning of the state-space search graph and show that it leads to substantial improvement of search performance.
Cite as

Rong Zhou and Eric A. Hansen. Dynamic State-Space Partitioning in External-Memory Graph Search. In Graph Search Engineering. Dagstuhl Seminar Proceedings, Volume 9491, pp. 1-7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{zhou_et_al:DagSemProc.09491.2,
  author =	{Zhou, Rong and Hansen, Eric A.},
  title =	{{Dynamic State-Space Partitioning in External-Memory Graph Search}},
  booktitle =	{Graph Search Engineering},
  pages =	{1--7},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{9491},
  editor =	{Lubos Brim and Stefan Edelkamp and Erik A. Hansen and Peter Sanders},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09491.2},
  URN =		{urn:nbn:de:0030-drops-24334},
  doi =		{10.4230/DagSemProc.09491.2},
  annote =	{Keywords: External-memory graph search, heuristic search}
}
Document
DOI: 10.4230/DagSemProc.09491.3
Landmarks, Critical Paths and Abstractions: What's the Difference Anyway?

Authors: Malte Helmert and Carmel Domshlak

Published in: Dagstuhl Seminar Proceedings, Volume 9491, Graph Search Engineering (2010)

Abstract
Current heuristic estimators for classical domain-independent planning are usually based on one of four ideas: delete relaxation, abstraction, critical paths, and, most recently, landmarks. Previously, these different ideas for deriving heuristic functions were largely unconnected. In my talk, I will show that these heuristics are in fact very closely related. Moreover, I will introduce a new admissible heuristic called the landmark cut heuristic which exploits this relationship. In our experiments, the landmark cut heuristic provides better estimates than other current admissible planning heuristics, especially on large problem instances.
Cite as

Malte Helmert and Carmel Domshlak. Landmarks, Critical Paths and Abstractions: What's the Difference Anyway?. In Graph Search Engineering. Dagstuhl Seminar Proceedings, Volume 9491, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{helmert_et_al:DagSemProc.09491.3,
  author =	{Helmert, Malte and Domshlak, Carmel},
  title =	{{Landmarks, Critical Paths and Abstractions: What's the Difference Anyway?}},
  booktitle =	{Graph Search Engineering},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{9491},
  editor =	{Lubos Brim and Stefan Edelkamp and Erik A. Hansen and Peter Sanders},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09491.3},
  URN =		{urn:nbn:de:0030-drops-24324},
  doi =		{10.4230/DagSemProc.09491.3},
  annote =	{Keywords: Planning, heuristic search, heuristic functions}
}
Document
DOI: 10.4230/DROPS.MEMICS.2009.2348
Faster Algorithm for Mean-Payoff Games

Authors: Jakub Chaloupka and Luboš Brim

Published in: OASIcs, Volume 13, Annual Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (MEMICS'09) (2009)

Abstract
We study some existing techniques for solving mean-payoff games (MPGs), improve them, and design a randomized algorithm for solving MPGs with currently the best expected complexity.
Cite as

Jakub Chaloupka and Luboš Brim. Faster Algorithm for Mean-Payoff Games. In Annual Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (MEMICS'09). Open Access Series in Informatics (OASIcs), Volume 13, pp. 53-61, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{chaloupka_et_al:OASIcs:2009:DROPS.MEMICS.2009.2348,
  author =	{Chaloupka, Jakub and Brim, Lubo\v{s}},
  title =	{{Faster Algorithm for Mean-Payoff Games}},
  booktitle =	{Annual Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (MEMICS'09)},
  pages =	{53--61},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-15-6},
  ISSN =	{2190-6807},
  year =	{2009},
  volume =	{13},
  editor =	{Hlinen\'{y}, Petr and Maty\'{a}\v{s}, V\'{a}clav and Vojnar, Tom\'{a}\v{s}},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DROPS.MEMICS.2009.2348},
  URN =		{urn:nbn:de:0030-drops-23481},
  doi =		{10.4230/DROPS.MEMICS.2009.2348},
  annote =	{Keywords: Mean-payoff games, randomized algorithms, computational complexity}
}
Document
DOI: 10.4230/DagSemProc.08332.1
08332 Abstracts Collection – Distributed Verification and Grid Computing

Authors: Henri E. Bal, Lubos Brim, and Martin Leucker

Published in: Dagstuhl Seminar Proceedings, Volume 8332, Distributed Verification and Grid Computing (2008)

Abstract
From 08/10/2008 to 08/14/2008 the Dagstuhl Seminar 08332 ``Distributed Verification and Grid Computing'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Henri E. Bal, Lubos Brim, and Martin Leucker. 08332 Abstracts Collection – Distributed Verification and Grid Computing. In Distributed Verification and Grid Computing. Dagstuhl Seminar Proceedings, Volume 8332, pp. 1-10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{bal_et_al:DagSemProc.08332.1,
  author =	{Bal, Henri E. and Brim, Lubos and Leucker, Martin},
  title =	{{08332 Abstracts Collection – Distributed Verification and Grid Computing}},
  booktitle =	{Distributed Verification and Grid Computing},
  pages =	{1--10},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8332},
  editor =	{Henri E. Bal and Lubos Brim and Martin Leucker},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08332.1},
  URN =		{urn:nbn:de:0030-drops-16335},
  doi =		{10.4230/DagSemProc.08332.1},
  annote =	{Keywords: Parallel Model Checking, Grid Computing, Verification}
}
Document
DOI: 10.4230/DagSemProc.08332.2
08332 Executive Summary – Distributed Verification and Grid Computing

Authors: Henri E. Bal, Lubos Brim, and Martin Leucker

Published in: Dagstuhl Seminar Proceedings, Volume 8332, Distributed Verification and Grid Computing (2008)

Abstract
The Dagstuhl Seminar on Distributed Verification and Grid Computing took place from 10.08.2008 to 14.08.2008 and brought together two groups of researchers to discuss their recent work and recent trends related to parallel verification of large scale computer systems on large scale grids. In total, 29 experts from 12 countries attended the seminar.
Cite as

Henri E. Bal, Lubos Brim, and Martin Leucker. 08332 Executive Summary – Distributed Verification and Grid Computing. In Distributed Verification and Grid Computing. Dagstuhl Seminar Proceedings, Volume 8332, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{bal_et_al:DagSemProc.08332.2,
  author =	{Bal, Henri E. and Brim, Lubos and Leucker, Martin},
  title =	{{08332 Executive Summary – Distributed Verification and Grid Computing}},
  booktitle =	{Distributed Verification and Grid Computing},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8332},
  editor =	{Henri E. Bal and Lubos Brim and Martin Leucker},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08332.2},
  URN =		{urn:nbn:de:0030-drops-16329},
  doi =		{10.4230/DagSemProc.08332.2},
  annote =	{Keywords: Grid computing, verification, parallel computing, model checking}
}
Document
DOI: 10.4230/DagSemProc.08332.3
A Typical Verification Challenge for the GRID

Authors: Jaco van de Pol

Published in: Dagstuhl Seminar Proceedings, Volume 8332, Distributed Verification and Grid Computing (2008)

Abstract
A typical verification challenge for the GRID community is presented. The concrete challenge is to implement a simple recursive algorithm for finding the strongly connected components in a graph. The graph is typically stored in the collective memory of a number of computers, so a distributed algorithm is necessary. The implementation should be efficient and scalable, and separate synchronization and implementation details from the purely algorithmic aspects. In the end, a framework is envisaged for distributed algorithms on very large graphs. This would be useful to explore various alternative algorithmic choices.
Cite as

Jaco van de Pol. A Typical Verification Challenge for the GRID. In Distributed Verification and Grid Computing. Dagstuhl Seminar Proceedings, Volume 8332, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{vandepol:DagSemProc.08332.3,
  author =	{van de Pol, Jaco},
  title =	{{A Typical Verification Challenge for the GRID}},
  booktitle =	{Distributed Verification and Grid Computing},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8332},
  editor =	{Henri E. Bal and Lubos Brim and Martin Leucker},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08332.3},
  URN =		{urn:nbn:de:0030-drops-16293},
  doi =		{10.4230/DagSemProc.08332.3},
  annote =	{Keywords: Strongly connected components, distributed algorithms, breadth first search}
}
Document
DOI: 10.4230/DagSemProc.08332.4
Efficient Large-Scale Model Checking

Authors: Kees Verstoep, Henri E. Bal, Jiri Barnat, and Lubos Brim

Published in: Dagstuhl Seminar Proceedings, Volume 8332, Distributed Verification and Grid Computing (2008)

Abstract
Model checking is a popular technique to systematically and automatically verify system properties. Unfortunately, the well-known state explosion problem often limits the extent to which it can be applied to realistic specifications, due to the huge resulting memory requirements. Distributed memory model checkers exist, but have thus far only been evaluated on small-scale clusters, with mixed results. We examine one well-known distributed model checker in detail, and show how a number of additional optimizations in its runtime system enable it to efficiently check very demanding problem instances on a large-scale, multi-core compute cluster. We analyze the impact of the distributed algorithms employed, the problem instance characteristics and network overhead. Finally, we show that the model checker can even obtain good performance in a high-bandwidth computational grid environment.
Cite as

Kees Verstoep, Henri E. Bal, Jiri Barnat, and Lubos Brim. Efficient Large-Scale Model Checking. In Distributed Verification and Grid Computing. Dagstuhl Seminar Proceedings, Volume 8332, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{verstoep_et_al:DagSemProc.08332.4,
  author =	{Verstoep, Kees and Bal, Henri E. and Barnat, Jiri and Brim, Lubos},
  title =	{{Efficient Large-Scale Model Checking}},
  booktitle =	{Distributed Verification and Grid Computing},
  pages =	{1--15},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8332},
  editor =	{Henri E. Bal and Lubos Brim and Martin Leucker},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08332.4},
  URN =		{urn:nbn:de:0030-drops-16309},
  doi =		{10.4230/DagSemProc.08332.4},
  annote =	{Keywords: Distributed model checking, Grid-based model checking}
}
Document
DOI: 10.4230/DagSemProc.08332.5
Verification of MPI-based Computations

Authors: Stephen F. Siegel

Published in: Dagstuhl Seminar Proceedings, Volume 8332, Distributed Verification and Grid Computing (2008)

Abstract
The Message Passing Interface is a widely-used parallel programming model and is the effective standard for high-performance scientific computing. It has also been used in parallel model checkers, such as DiVinE. In this talk we discuss the verification problem for MPI-based programs. The MPI is quite large and the semantics complex. Nevertheless, by restricting to a certain subset of MPI, the verification problem becomes tractable. Certain constructs outside of this subset (such as wildcard receives) can lead to a rapid blowup in the number of states, but MPI-specific reduction techniques have led to progress in combating this state explosion. Specifying correctness is another challenge. One approach is to use a trusted sequential version of the program as the specification, and use model checking and symbolic execution techniques to establish the functional equivalence of the sequential and parallel versions. This approach is supported in extsc{Mpi-Spin}, an extension to the model checker extsc{Spin} for verifying MPI-based programs.
Cite as

Stephen F. Siegel. Verification of MPI-based Computations. In Distributed Verification and Grid Computing. Dagstuhl Seminar Proceedings, Volume 8332, pp. 1-3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{siegel:DagSemProc.08332.5,
  author =	{Siegel, Stephen F.},
  title =	{{Verification of MPI-based Computations}},
  booktitle =	{Distributed Verification and Grid Computing},
  pages =	{1--3},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8332},
  editor =	{Henri E. Bal and Lubos Brim and Martin Leucker},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08332.5},
  URN =		{urn:nbn:de:0030-drops-16316},
  doi =		{10.4230/DagSemProc.08332.5},
  annote =	{Keywords: MPI, Spin, model checking, MPI-Spin, symbolic execution}
}
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