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Nonelementary complexities for branching VASS, MELL, and extensions.
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Lazic, Ranko and Schmitz, Sylvain (2015) Nonelementary complexities for branching VASS, MELL, and extensions. ACM Transactions on Computational Logic (TOCL), Volume 16 (Number 3). Article number 20. doi:10.1145/2733375
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Official URL: http://dx.doi.org/10.1145/2733375
Abstract
We study the complexity of reachability problems on branching extensions of vector addition systems, which allows us to derive new non-elementary complexity bounds for fragments and variants of propositional linear logic. We show that provability in the multiplicative exponential fragment is Tower-hard already in the affine case—and hence non-elementary. We match this lower bound for the full propositional affine linear logic, proving its Tower-completeness. We also show that provability in propositional contractive linear logic is Ackermann-complete.
| Item Type: | Journal Article | ||||
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| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
| Divisions: | Faculty of Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Computer science—Mathematics, Computational complexity, Computer logic | ||||
| Journal or Publication Title: | ACM Transactions on Computational Logic (TOCL) | ||||
| Publisher: | Association for Computing Machinery, Inc. | ||||
| ISSN: | 1529-3785 | ||||
| Official Date: | May 2015 | ||||
| Dates: |
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| Volume: | Volume 16 | ||||
| Number: | Number 3 | ||||
| Article Number: | Article number 20 | ||||
| DOI: | 10.1145/2733375 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Description: | Revised and extended version of an article presented at the Joint meeting of the 23rd EACSL Annual Conference on Computer Science Logic and the 29th Annual ACM/IEEE Symposium on Logic in Computer Science (CSL-LICS’14). |
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| Funder: | France. Agence nationale de la recherche (ANR) | ||||
| Grant number: | 11-BS02-001-01 | ||||
| Related URLs: |
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