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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Demri, S. Gascon, R. |
| Copyright Year | 2007 |
| Description | Author affiliation: CNRS, St. Peter Port (Demri, S.; Gascon, R.) |
| Abstract | We study decidability and complexity issues for fragments of LTL with Presburger constraints by restricting the syntactic resources of the formulae (the class of constraints, the number of variables and the distance between two states for which counters can be compared) while preserving the strength of the logical operators. We provide a complete picture refining known results from the literature, in some cases pushing forward the known decidability limits. By way of example, we show that model-checking formulae from LTL with quantifier-free Presburger arithmetic over one-counter automata is only PSPACE-complete. In order to establish the PSPACE upper bound, we show that the nonemptiness problem for Buchi one-counter automata taking values in Z and allowing zero tests and sign tests, is only NLOGSPACE-complete. |
| Starting Page | 94 |
| Ending Page | 104 |
| File Size | 258533 |
| Page Count | 11 |
| File Format | |
| ISBN | 9780769528366 |
| ISSN | 15301311 |
| DOI | 10.1109/TIME.2007.63 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2007-06-28 |
| Publisher Place | Spain |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Counting circuits Automata Automatic testing Arithmetic Cryptographic protocols Upper bound Logic design Clocks Taxonomy Computer science |
| Content Type | Text |
| Resource Type | Article |
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