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Abstract
An event structure is a mathematical abstraction modeling concepts as causality, conflict and concurrency between events. While many other mathematical structures, including groups, topological spaces, rings, abound with algorithms and formulas to generate, enumerate and count particular sets of their members, no algorithm or formulas are known to generate or count all the possible event structures over af inite set of events. We present an algorithm to generate such a family, along with a functional implementation verified using Isabelle/HOL. As byproducts, we obtain a verified enumeration of all possible preorders and partial orders. While the integer sequences counting preorders and partial orders are already listed on OEIS (On-line Encyclopedia of Integer Sequences), the one counting event structures is not. We therefore used our algorithm to submit a formally verified addition, which has been successfully reviewed and is now part of the OEIS.
Original language | English |
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Title of host publication | Intelligent Computer Mathematics |
Subtitle of host publication | 10th International Conference, CICM 2017, Edinburgh, UK, July 17-21, 2017, Proceedings |
Editors | Herman Geuvers, Matthew England, Osman Hasan, Florian Rabe, Olaf Teschke |
Place of Publication | Cham |
Publisher | Springer |
Pages | 239-254 |
ISBN (Print) | 9783319620749, 9783319620756 |
DOIs | |
Publication status | Published - 2017 |
Event | 10th Conference on Intelligent Computer Mathematics (CICM 2017) - Edinburgh, United Kingdom Duration: 17 Jul 2017 → 21 Jul 2017 Conference number: 10 http://www.cicm-conference.org/2017 |
Publication series
Name | Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence) |
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Publisher | Springer |
Volume | 10383 |
ISSN (Print) | 0302-9743 |
Conference
Conference | 10th Conference on Intelligent Computer Mathematics (CICM 2017) |
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Abbreviated title | CICM |
Country/Territory | United Kingdom |
City | Edinburgh |
Period | 17/07/17 → 21/07/17 |
Internet address |
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Dive into the research topics of 'A verified algorithm enumerating event structures'. Together they form a unique fingerprint.Projects
- 1 Finished
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Automated Conflict Resolution: Automated Conflic Resolution in Clinical Pathways
1/07/15 → 15/12/18
Project: Standard
Profiles
Datasets
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A verified algorithm enumerating event structures (dataset)
Bowles, J. K. F. (Creator) & Caminati, M. B. (Creator), Bitbucket, 2017
https://bitbucket.org/caminati/oeises
Dataset