--- _id: '4075' abstract: - lang: eng text: A key problem in computational geometry is the identification of subsets of a point set having particular properties. We study this problem for the properties of convexity and emptiness. We show that finding empty triangles is related to the problem of determining pairs of vertices that see each other in a star-shaped polygon. A linear-time algorithm for this problem which is of independent interest yields an optimal algorithm for finding all empty triangles. This result is then extended to an algorithm for finding empty convex r-gons (r> 3) and for determining a largest empty convex subset. Finally, extensions to higher dimensions are mentioned. acknowledgement: The first author is pleased to acknowledge support by the National Science Foundation under Grant CCR-8700917. The research of the second author was supported by Amoco Foundation Faculty Development Grant CS 1-6-44862 and by the National Science Foundatio article_processing_charge: No article_type: original author: - first_name: David full_name: Dobkin, David last_name: Dobkin - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Mark full_name: Overmars, Mark last_name: Overmars citation: ama: Dobkin D, Edelsbrunner H, Overmars M. Searching for empty convex polygons. Algorithmica. 1990;5(4):561-571. doi:10.1007/BF01840404 apa: Dobkin, D., Edelsbrunner, H., & Overmars, M. (1990). Searching for empty convex polygons. Algorithmica. Springer. https://doi.org/10.1007/BF01840404 chicago: Dobkin, David, Herbert Edelsbrunner, and Mark Overmars. “Searching for Empty Convex Polygons.” Algorithmica. Springer, 1990. https://doi.org/10.1007/BF01840404. ieee: D. Dobkin, H. Edelsbrunner, and M. Overmars, “Searching for empty convex polygons,” Algorithmica, vol. 5, no. 4. Springer, pp. 561–571, 1990. ista: Dobkin D, Edelsbrunner H, Overmars M. 1990. Searching for empty convex polygons. Algorithmica. 5(4), 561–571. mla: Dobkin, David, et al. “Searching for Empty Convex Polygons.” Algorithmica, vol. 5, no. 4, Springer, 1990, pp. 561–71, doi:10.1007/BF01840404. short: D. Dobkin, H. Edelsbrunner, M. Overmars, Algorithmica 5 (1990) 561–571. date_created: 2018-12-11T12:06:47Z date_published: 1990-06-01T00:00:00Z date_updated: 2022-02-21T10:55:13Z day: '01' doi: 10.1007/BF01840404 extern: '1' intvolume: ' 5' issue: '4' language: - iso: eng main_file_link: - url: https://link.springer.com/article/10.1007/BF01840404 month: '06' oa_version: None page: 561 - 571 publication: Algorithmica publication_identifier: eissn: - 1432-0541 issn: - 0178-4617 publication_status: published publisher: Springer publist_id: '2049' quality_controlled: '1' scopus_import: '1' status: public title: Searching for empty convex polygons type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 5 year: '1990' ... --- _id: '4311' article_processing_charge: No author: - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: A. full_name: Clark, A. last_name: Clark citation: ama: 'Barton NH, Clark A. Population structure and processes in evolution. In: Wöhrmann K, Jain S, eds. Population Biology: Ecological and Evolutionary Viewpoints. Springer; 1990:115-174. doi:10.1007/978-3-642-74474-7_5' apa: 'Barton, N. H., & Clark, A. (1990). Population structure and processes in evolution. In K. Wöhrmann & S. Jain (Eds.), Population biology: Ecological and evolutionary viewpoints (pp. 115–174). Springer. https://doi.org/10.1007/978-3-642-74474-7_5' chicago: 'Barton, Nicholas H, and A. Clark. “Population Structure and Processes in Evolution.” In Population Biology: Ecological and Evolutionary Viewpoints, edited by Klaus Wöhrmann and Subodh Jain, 115–74. Springer, 1990. https://doi.org/10.1007/978-3-642-74474-7_5.' ieee: 'N. H. Barton and A. Clark, “Population structure and processes in evolution,” in Population biology: Ecological and evolutionary viewpoints, K. Wöhrmann and S. Jain, Eds. Springer, 1990, pp. 115–174.' ista: 'Barton NH, Clark A. 1990.Population structure and processes in evolution. In: Population biology: Ecological and evolutionary viewpoints. , 115–174.' mla: 'Barton, Nicholas H., and A. Clark. “Population Structure and Processes in Evolution.” Population Biology: Ecological and Evolutionary Viewpoints, edited by Klaus Wöhrmann and Subodh Jain, Springer, 1990, pp. 115–74, doi:10.1007/978-3-642-74474-7_5.' short: 'N.H. Barton, A. Clark, in:, K. Wöhrmann, S. Jain (Eds.), Population Biology: Ecological and Evolutionary Viewpoints, Springer, 1990, pp. 115–174.' date_created: 2018-12-11T12:08:11Z date_published: 1990-01-01T00:00:00Z date_updated: 2022-02-16T10:49:05Z day: '01' doi: 10.1007/978-3-642-74474-7_5 editor: - first_name: Klaus full_name: Wöhrmann, Klaus last_name: Wöhrmann - first_name: Subodh full_name: Jain, Subodh last_name: Jain extern: '1' language: - iso: eng main_file_link: - url: https://link.springer.com/book/10.1007/978-3-642-74474-7 month: '01' oa_version: None page: 115 - 174 publication: 'Population biology: Ecological and evolutionary viewpoints' publication_identifier: isbn: - ' 978-3642744761' publication_status: published publisher: Springer publist_id: '1748' quality_controlled: '1' status: public title: Population structure and processes in evolution type: book_chapter user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 year: '1990' ... --- _id: '4310' article_processing_charge: No article_type: original author: - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Steve full_name: Jones, Steve last_name: Jones citation: ama: Barton NH, Jones S. The language of the genes. Nature. 1990;346:415-416. doi:10.1038/346415a0 apa: Barton, N. H., & Jones, S. (1990). The language of the genes. Nature. Nature Publishing Group. https://doi.org/10.1038/346415a0 chicago: Barton, Nicholas H, and Steve Jones. “The Language of the Genes.” Nature. Nature Publishing Group, 1990. https://doi.org/10.1038/346415a0. ieee: N. H. Barton and S. Jones, “The language of the genes,” Nature, vol. 346. Nature Publishing Group, pp. 415–416, 1990. ista: Barton NH, Jones S. 1990. The language of the genes. Nature. 346, 415–416. mla: Barton, Nicholas H., and Steve Jones. “The Language of the Genes.” Nature, vol. 346, Nature Publishing Group, 1990, pp. 415–16, doi:10.1038/346415a0. short: N.H. Barton, S. Jones, Nature 346 (1990) 415–416. date_created: 2018-12-11T12:08:11Z date_published: 1990-08-02T00:00:00Z date_updated: 2022-02-16T10:51:50Z day: '02' doi: 10.1038/346415a0 extern: '1' intvolume: ' 346' language: - iso: eng main_file_link: - url: https://www.nature.com/articles/346415a0 month: '08' oa_version: None page: 415 - 416 publication: Nature publication_identifier: eissn: - 1476-4687 issn: - 0028-0836 publication_status: published publisher: Nature Publishing Group publist_id: '1749' quality_controlled: '1' scopus_import: '1' status: public title: The language of the genes type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 346 year: '1990' ... --- _id: '4510' abstract: - lang: eng text: "The interleaving model is both adequate and sufficiently abstract to allow for the practical specification and verification of many properties of concurrent systems. We incorporate real time into this model by defining the abstract notion of a real-time transition system as a conservative extension of traditional transition systems: qualitative fairness requirements are replaced (and superseded) by quantitative lower-bound and upper-bound real-time requirements for transitions.\r\nWe present proof rules to establish lower and upper real-time bounds for response properties of real-time transition systems. This proof system can be used to verify bounded-invariance and bounded-response properties, such as timely termination of shared-variables multi-process systems, whose semantics is defined in terms of real-time transition systems." acknowledgement: 'Sponsors: IBM graduate fellowship, National Science Foundation grant CCR-89-11512, National Science Foundation CCR-89-13641, Defense Advanced Research Projects Agency under contract N00039-84-C-0211, United States Air Force Office of Scientific Research under contract AFOSR-90-0057, European Community ESPRIT Basic Research Action project 3096 (SPEC).' article_processing_charge: No author: - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 - first_name: Zohar full_name: Manna, Zohar last_name: Manna - first_name: Amir full_name: Pnueli, Amir last_name: Pnueli citation: ama: 'Henzinger TA, Manna Z, Pnueli A. An interleaving model for real time. In: Proceedings of the 5th Jerusalem Conference on Information Technology. IEEE; 1990:717-730. doi:10.1109/JCIT.1990.128356' apa: 'Henzinger, T. A., Manna, Z., & Pnueli, A. (1990). An interleaving model for real time. In Proceedings of the 5th Jerusalem Conference on Information Technology (pp. 717–730). Jerusalem, Israel: IEEE. https://doi.org/10.1109/JCIT.1990.128356' chicago: Henzinger, Thomas A, Zohar Manna, and Amir Pnueli. “An Interleaving Model for Real Time.” In Proceedings of the 5th Jerusalem Conference on Information Technology, 717–30. IEEE, 1990. https://doi.org/10.1109/JCIT.1990.128356. ieee: T. A. Henzinger, Z. Manna, and A. Pnueli, “An interleaving model for real time,” in Proceedings of the 5th Jerusalem Conference on Information Technology, Jerusalem, Israel, 1990, pp. 717–730. ista: 'Henzinger TA, Manna Z, Pnueli A. 1990. An interleaving model for real time. Proceedings of the 5th Jerusalem Conference on Information Technology. JCIT: Jerusalem Conference on Information Technology, 717–730.' mla: Henzinger, Thomas A., et al. “An Interleaving Model for Real Time.” Proceedings of the 5th Jerusalem Conference on Information Technology, IEEE, 1990, pp. 717–30, doi:10.1109/JCIT.1990.128356. short: T.A. Henzinger, Z. Manna, A. Pnueli, in:, Proceedings of the 5th Jerusalem Conference on Information Technology, IEEE, 1990, pp. 717–730. conference: end_date: 1990-10-25 location: Jerusalem, Israel name: 'JCIT: Jerusalem Conference on Information Technology' start_date: 1990-10-22 date_created: 2018-12-11T12:09:14Z date_published: 1990-01-01T00:00:00Z date_updated: 2022-02-15T15:51:25Z day: '01' doi: 10.1109/JCIT.1990.128356 extern: '1' language: - iso: eng main_file_link: - url: https://ieeexplore.ieee.org/abstract/document/128356 month: '01' oa_version: None page: 717 - 730 publication: ' Proceedings of the 5th Jerusalem Conference on Information Technology' publication_identifier: isbn: - 0-8186-2078-1 publication_status: published publisher: IEEE publist_id: '220' quality_controlled: '1' scopus_import: '1' status: public title: An interleaving model for real time type: conference user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 year: '1990' ... --- _id: '4522' abstract: - lang: eng text: 'We introduce a novel extension of propositional modal logic that is interpreted over Kripke structures in which a value is associated with every possible world. These values are. however, not treated as full first-order objects: they can be accessed only by a very restricted form of quantification: the "freeze" quantifier binds a variable to the value of the current world. We present a complete proof system for this ("half-order") modal logic. As a special case, we obtain the real-time temporal logic TPTL of [AH891: the models are restricted to infinite sequences of states, whose values are monotonically increasing natural numbers. The ordering relation between states is interpreted as temporal precedence. while the value associated with a state is interpreted as its "rear time. We extend our proof system to be complete for TPTL. and demonstrate how it can be used to derive real-time properties. ' acknowledgement: Many thanks to Rajeev Alur, Adam Grove, Zohar Manna, and Amir Pnueli for their continuous discussions and support. article_processing_charge: No author: - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 citation: ama: 'Henzinger TA. Half-order modal logic: How to prove real-time properties. In: Proceedings of the 9th Annual ACM Symposium on Principles of Distributed Computing. ACM; 1990:281-296. doi:10.1145/93385.93429' apa: 'Henzinger, T. A. (1990). Half-order modal logic: How to prove real-time properties. In Proceedings of the 9th annual ACM symposium on Principles of distributed computing (pp. 281–296). Quebec City, Canada: ACM. https://doi.org/10.1145/93385.93429' chicago: 'Henzinger, Thomas A. “Half-Order Modal Logic: How to Prove Real-Time Properties.” In Proceedings of the 9th Annual ACM Symposium on Principles of Distributed Computing, 281–96. ACM, 1990. https://doi.org/10.1145/93385.93429.' ieee: 'T. A. Henzinger, “Half-order modal logic: How to prove real-time properties,” in Proceedings of the 9th annual ACM symposium on Principles of distributed computing, Quebec City, Canada, 1990, pp. 281–296.' ista: 'Henzinger TA. 1990. Half-order modal logic: How to prove real-time properties. Proceedings of the 9th annual ACM symposium on Principles of distributed computing. PODC: Principles of Distributed Computing, 281–296.' mla: 'Henzinger, Thomas A. “Half-Order Modal Logic: How to Prove Real-Time Properties.” Proceedings of the 9th Annual ACM Symposium on Principles of Distributed Computing, ACM, 1990, pp. 281–96, doi:10.1145/93385.93429.' short: T.A. Henzinger, in:, Proceedings of the 9th Annual ACM Symposium on Principles of Distributed Computing, ACM, 1990, pp. 281–296. conference: end_date: 1990-08-24 location: Quebec City, Canada name: 'PODC: Principles of Distributed Computing' start_date: 1990-08-22 date_created: 2018-12-11T12:09:17Z date_published: 1990-01-01T00:00:00Z date_updated: 2022-02-15T15:11:03Z day: '01' doi: 10.1145/93385.93429 extern: '1' language: - iso: eng main_file_link: - url: https://dl.acm.org/doi/10.1145/93385.93429 month: '01' oa_version: None page: 281 - 296 publication: Proceedings of the 9th annual ACM symposium on Principles of distributed computing publication_identifier: isbn: - 978-0-89791-404-8 publication_status: published publisher: ACM publist_id: '209' quality_controlled: '1' scopus_import: '1' status: public title: 'Half-order modal logic: How to prove real-time properties' type: conference user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 year: '1990' ...