[{"month":"07","quality_controlled":"1","extern":"1","article_processing_charge":"No","doi":"10.1098/rstb.1995.0090","date_updated":"2022-06-27T08:55:07Z","publisher":"Royal Society, The","publication":"Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences","external_id":{"pmid":["8748019"]},"oa_version":"None","article_type":"original","date_published":"1995-07-29T00:00:00Z","type":"journal_article","volume":349,"language":[{"iso":"eng"}],"year":"1995","date_created":"2018-12-11T12:04:22Z","day":"29","publication_status":"published","publist_id":"2745","author":[{"full_name":"Barton, Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","orcid":"0000-0002-8548-5240","last_name":"Barton"},{"first_name":"I","full_name":"Wilson, I","last_name":"Wilson"}],"page":"49 - 59","pmid":1,"acknowledgement":"This work was supported by BBSRC grant GR/H/09928 and by a Scottish Office studentship. We thank A. W. F. Edwards and S. Otto for their helpful comments.","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","abstract":[{"lang":"eng","text":"Any sample of genes traces back to a single common ancestor. Each gene also has other properties: its sequence, its geographic location and the phenotype and fitness of the organism that carries it. With sexual reproduction, different genes have different genealogies, which gives us much more information, but also greatly complicates population genetic analysis. We review the close relation between the distribution of genealogies and the classic theory of identity by descent in spatially structured populations, and develop a simple diffusion approximation to the distribution of coalescence times in a homogeneous two-dimensional habitat. This shows that when neighbourhood size is large (as in most populations) only a small fraction of pairs of genes are closely related, and only this fraction gives information about current rates of gene flow. The increase of spatial dispersion with lineage age is thus a poor estimator of gene flow. The bulk of the genealogy depends on the long-term history of the population; we discuss ways of inferring this history from the concordance between genealogies across loci."}],"title":"Genealogies and geography","_id":"3638","intvolume":" 349","citation":{"ama":"Barton NH, Wilson I. Genealogies and geography. Philosophical Transactions of the Royal Society of London Series B, Biological Sciences. 1995;349(1327):49-59. doi:10.1098/rstb.1995.0090","mla":"Barton, Nicholas H., and I. Wilson. “Genealogies and Geography.” Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, vol. 349, no. 1327, Royal Society, The, 1995, pp. 49–59, doi:10.1098/rstb.1995.0090.","chicago":"Barton, Nicholas H, and I Wilson. “Genealogies and Geography.” Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences. Royal Society, The, 1995. https://doi.org/10.1098/rstb.1995.0090.","ista":"Barton NH, Wilson I. 1995. Genealogies and geography. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences. 349(1327), 49–59.","apa":"Barton, N. H., & Wilson, I. (1995). Genealogies and geography. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences. Royal Society, The. https://doi.org/10.1098/rstb.1995.0090","ieee":"N. H. Barton and I. Wilson, “Genealogies and geography,” Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, vol. 349, no. 1327. Royal Society, The, pp. 49–59, 1995.","short":"N.H. Barton, I. Wilson, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences 349 (1995) 49–59."},"main_file_link":[{"url":"https://royalsocietypublishing.org/doi/10.1098/rstb.1995.0090"}],"status":"public","publication_identifier":{"issn":["0962-8436"]},"issue":"1327"},{"article_processing_charge":"No","date_updated":"2022-06-24T11:54:10Z","doi":"10.1017/S0016672300033140","publisher":"Cambridge University Press","publication":"Genetical Research","month":"04","quality_controlled":"1","extern":"1","date_published":"1995-04-01T00:00:00Z","type":"journal_article","volume":65,"external_id":{"pmid":["7605514"]},"oa_version":"None","article_type":"original","year":"1995","language":[{"iso":"eng"}],"author":[{"first_name":"Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","full_name":"Barton, Nicholas H","last_name":"Barton","orcid":"0000-0002-8548-5240"}],"page":"123 - 144","date_created":"2018-12-11T12:04:23Z","day":"01","publist_id":"2744","publication_status":"published","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","abstract":[{"text":"A general representation of multilocus selection is extended to allow recombination to depend on genotype. The equations simplify if modifier alleles have small effects on recombination. The evolution of such modifiers only depends on how they alter recombination between the selected loci, and does not involve dominance in modifier effects. The net selection on modifiers can be found explicitly if epistasis is weak relative to recombination. This analysis shows that recombination can be favoured in two ways: because it impedes the response to epistasis which fluctuates in sign, or because it facilitates the response to directional selection. The first mechanism is implausible, because epistasis must change sign over periods of a few generations: faster or slower fluctuations favour reduced recombination. The second mechanism requires weak negative epistasis between favourable alleles, which may either be increasing, or held in check by mutation. The selection (si) on recombination modifiers depends on the reduction in additive variance of log (fitness) due to linkage disequilibria (υ1 < 0), and on non-additive variance in log (fitness) (V′2, V′3,.. epistasis between 2, 3.. loci). For unlinked loci and pairwise epistasis, si = − (υ1 + 4V2/3)δr, where δr is the average increase in recombination caused by the modifier. The approximations are checked against exact calculations for three loci, and against Charlesworth's analyses of mutation/selection balance (1990), and directional selection (1993). The analysis demonstrates a general relation between selection on recombination and observable components of fitness variation, which is open to experimental test.","lang":"eng"}],"title":"A general model for the evolution of recombination","_id":"3639","pmid":1,"status":"public","intvolume":" 65","citation":{"chicago":"Barton, Nicholas H. “A General Model for the Evolution of Recombination.” Genetical Research. Cambridge University Press, 1995. https://doi.org/10.1017/S0016672300033140.","ama":"Barton NH. A general model for the evolution of recombination. Genetical Research. 1995;65(2):123-144. doi:10.1017/S0016672300033140","mla":"Barton, Nicholas H. “A General Model for the Evolution of Recombination.” Genetical Research, vol. 65, no. 2, Cambridge University Press, 1995, pp. 123–44, doi:10.1017/S0016672300033140.","short":"N.H. Barton, Genetical Research 65 (1995) 123–144.","ieee":"N. H. Barton, “A general model for the evolution of recombination,” Genetical Research, vol. 65, no. 2. Cambridge University Press, pp. 123–144, 1995.","ista":"Barton NH. 1995. A general model for the evolution of recombination. Genetical Research. 65(2), 123–144.","apa":"Barton, N. H. (1995). A general model for the evolution of recombination. Genetical Research. Cambridge University Press. https://doi.org/10.1017/S0016672300033140"},"main_file_link":[{"url":"https://www.cambridge.org/core/journals/genetics-research/article/general-model-for-the-evolution-of-recombination/8CBDDF2DC779CF4B6AE9B461B80BB4AE"}],"scopus_import":"1","issue":"2","publication_identifier":{"issn":["0016-6723"]}},{"author":[{"last_name":"Barton","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H","first_name":"Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87"}],"page":"821 - 841","date_created":"2018-12-11T12:04:23Z","publist_id":"2743","publication_status":"published","day":"01","language":[{"iso":"eng"}],"year":"1995","volume":140,"date_published":"1995-06-01T00:00:00Z","type":"journal_article","oa_version":"Published Version","external_id":{"pmid":["7498757"]},"article_type":"original","article_processing_charge":"No","publication":"Genetics","publisher":"Genetics Society of America","date_updated":"2022-06-24T09:59:08Z","doi":"http://www.genetics.org/content/140/2/821.long","month":"06","extern":"1","quality_controlled":"1","oa":1,"issue":"2","publication_identifier":{"issn":["0016-6731"]},"scopus_import":"1","status":"public","main_file_link":[{"open_access":"1","url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1206655/"}],"intvolume":" 140","citation":{"short":"N.H. Barton, Genetics 140 (1995) 821–841.","ieee":"N. H. Barton, “Linkage and the limits to natural selection,” Genetics, vol. 140, no. 2. Genetics Society of America, pp. 821–841, 1995.","ista":"Barton NH. 1995. Linkage and the limits to natural selection. Genetics. 140(2), 821–841.","apa":"Barton, N. H. (1995). Linkage and the limits to natural selection. Genetics. Genetics Society of America. http://www.genetics.org/content/140/2/821.long","chicago":"Barton, Nicholas H. “Linkage and the Limits to Natural Selection.” Genetics. Genetics Society of America, 1995. http://www.genetics.org/content/140/2/821.long.","ama":"Barton NH. Linkage and the limits to natural selection. Genetics. 1995;140(2):821-841. doi:http://www.genetics.org/content/140/2/821.long","mla":"Barton, Nicholas H. “Linkage and the Limits to Natural Selection.” Genetics, vol. 140, no. 2, Genetics Society of America, 1995, pp. 821–41, doi:http://www.genetics.org/content/140/2/821.long."},"abstract":[{"text":"The probability of fixation of a favorable mutation is reduced if selection at other loci causes inherited variation in fitness. A general method for calculating the fixation probability of an allele that can find itself in a variety of genetic backgrounds is applied to find the effect of substitutions, fluctuating polymorphisms, and deleterious mutations in a large population. With loose linkage, r, the effects depend on the additive genetic variance in relative fitness, var(W), and act by reducing effective population size by (N/Ne) = 1 + var(W)/2r2. However, tightly linked loci can have a substantial effect not predictable from Ne. Linked deleterious mutations reduce the fixation probability of weakly favored alleles by exp (-2U/R), where U is the total mutation rate and R is the map length in Morgans. Substitutions can cause a greater reduction: an allele with advantage s < scrit = (pi 2/6) loge (S/s) [var(W)/R] is very unlikely to be fixed. (S is the advantage of the substitution impeding fixation.) Fluctuating polymorphisms at many (n) linked loci can also have a substantial effect, reducing fixation probability by exp [square root of 2Kn var(W)/R] [K = -1/E((u-u)2/uv) depending on the frequencies (u,v) at the selected polymorphisms]. Hitchhiking due to all three kinds of selection may substantially impede adaptation that depends on weakly favored alleles.","lang":"eng"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"3640","title":"Linkage and the limits to natural selection","pmid":1},{"language":[{"iso":"eng"}],"year":"1995","page":"415 - 440","author":[{"orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","full_name":"Edelsbrunner, Herbert"}],"day":"01","publication_status":"published","publist_id":"2095","date_created":"2018-12-11T12:06:31Z","date_updated":"2022-06-27T08:14:48Z","doi":"10.1007/BF02574053","publisher":"Springer","publication":"Discrete & Computational Geometry","article_processing_charge":"No","oa":1,"quality_controlled":"1","extern":"1","month":"12","type":"journal_article","date_published":"1995-12-01T00:00:00Z","volume":13,"article_type":"original","oa_version":"Published Version","scopus_import":"1","issue":"1","publication_identifier":{"issn":["0179-5376"]},"title":"The union of balls and its dual shape","_id":"4028","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","abstract":[{"lang":"eng","text":"Efficient algorithms are described for computing topological, combinatorial, and metric properties of the union of finitely many spherical balls in R(d) These algorithms are based on a simplicial complex dual to a decomposition of the union of balls using Voronoi cells, and on short inclusion-exclusion formulas derived from this complex. The algorithms are most relevant in R(3) where unions of finitely many balls are commonly used as models of molecules."}],"acknowledgement":"This work is supported by the National Science Foundation, under Grant ASC-9200301, and the Alan T. Waterman award, Grant CCR-9118874. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the author and do not necessarily reflect the view of the National Science Foundation.","status":"public","citation":{"apa":"Edelsbrunner, H. (1995). The union of balls and its dual shape. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/BF02574053","ista":"Edelsbrunner H. 1995. The union of balls and its dual shape. Discrete & Computational Geometry. 13(1), 415–440.","short":"H. Edelsbrunner, Discrete & Computational Geometry 13 (1995) 415–440.","ieee":"H. Edelsbrunner, “The union of balls and its dual shape,” Discrete & Computational Geometry, vol. 13, no. 1. Springer, pp. 415–440, 1995.","mla":"Edelsbrunner, Herbert. “The Union of Balls and Its Dual Shape.” Discrete & Computational Geometry, vol. 13, no. 1, Springer, 1995, pp. 415–40, doi:10.1007/BF02574053.","ama":"Edelsbrunner H. The union of balls and its dual shape. Discrete & Computational Geometry. 1995;13(1):415-440. doi:10.1007/BF02574053","chicago":"Edelsbrunner, Herbert. “The Union of Balls and Its Dual Shape.” Discrete & Computational Geometry. Springer, 1995. https://doi.org/10.1007/BF02574053."},"intvolume":" 13","main_file_link":[{"open_access":"1","url":"https://link.springer.com/article/10.1007/BF02574053"}]},{"day":"01","publication_status":"published","publist_id":"2096","date_created":"2018-12-11T12:06:32Z","page":"771 - 784","author":[{"full_name":"Delfinado, Cecil","first_name":"Cecil","last_name":"Delfinado"},{"full_name":"Edelsbrunner, Herbert","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner"}],"language":[{"iso":"eng"}],"year":"1995","article_type":"original","oa_version":"None","type":"journal_article","date_published":"1995-11-01T00:00:00Z","volume":12,"quality_controlled":"1","extern":"1","month":"11","date_updated":"2022-06-24T09:49:32Z","doi":"10.1016/0167-8396(95)00016-Y","publisher":"Elsevier","publication":"Computer Aided Geometric Design","article_processing_charge":"No","publication_identifier":{"issn":["0167-8396"]},"issue":"7","scopus_import":"1","citation":{"chicago":"Delfinado, Cecil, and Herbert Edelsbrunner. “An Incremental Algorithm for Betti Numbers of Simplicial Complexes on the 3-Sphere.” Computer Aided Geometric Design. Elsevier, 1995. https://doi.org/10.1016/0167-8396(95)00016-Y.","ama":"Delfinado C, Edelsbrunner H. An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Computer Aided Geometric Design. 1995;12(7):771-784. doi:10.1016/0167-8396(95)00016-Y","mla":"Delfinado, Cecil, and Herbert Edelsbrunner. “An Incremental Algorithm for Betti Numbers of Simplicial Complexes on the 3-Sphere.” Computer Aided Geometric Design, vol. 12, no. 7, Elsevier, 1995, pp. 771–84, doi:10.1016/0167-8396(95)00016-Y.","ieee":"C. Delfinado and H. Edelsbrunner, “An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere,” Computer Aided Geometric Design, vol. 12, no. 7. Elsevier, pp. 771–784, 1995.","short":"C. Delfinado, H. Edelsbrunner, Computer Aided Geometric Design 12 (1995) 771–784.","ista":"Delfinado C, Edelsbrunner H. 1995. An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Computer Aided Geometric Design. 12(7), 771–784.","apa":"Delfinado, C., & Edelsbrunner, H. (1995). An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Computer Aided Geometric Design. Elsevier. https://doi.org/10.1016/0167-8396(95)00016-Y"},"intvolume":" 12","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/016783969500016Y?via%3Dihub"}],"status":"public","acknowledgement":"This work is supported by the National Science Foundation under grant ASC-9200301 and the Alan T. Waterman award, grant CCR-9118874. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the authors and do not necessarily reflect the view of the National Science Foundation.","title":"An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere","_id":"4029","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","abstract":[{"text":"A general and direct method for computing the Betti numbers of a finite simplicial complex in Bd is given. This method is complete for d less than or equal to 3, where versions of this method run in time O(n alpha(n)) and O(n), n the number of simplices. An implementation of the algorithm is applied to alpha shapes, which is a novel geometric modeling tool.","lang":"eng"}]},{"year":"1995","language":[{"iso":"eng"}],"page":"248 - 257","conference":{"end_date":"1995-10-25","location":"Milwaukee, WI, United States of America","name":"FOCS: Foundations of Computer Science","start_date":"1995-10-23"},"author":[{"orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert","full_name":"Edelsbrunner, Herbert"}],"publist_id":"2093","publication_status":"published","day":"01","publication_identifier":{"issn":["0272-5428"]},"date_created":"2018-12-11T12:06:33Z","publication":"Proceedings of IEEE 36th Annual Foundations of Computer Science","_id":"4034","title":"Algebraic decomposition of non-convex polyhedra","publisher":"IEEE","date_updated":"2022-06-13T12:27:11Z","abstract":[{"lang":"eng","text":"Any arbitrary polyhedron P contained as a subset within Rd can be written as algebraic sum of simple terms, each an integer multiple of the intersection of d or fewer half-spaces defined by facets of P. P can be non-convex and can have holes of any kind. Among the consequences of this result are a short boolean formula for P, a fast parallel algorithm for point classification, and a new proof of the Gram-Sommerville angle relation."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","article_processing_charge":"No","extern":"1","acknowledgement":"The author thanks Bei-Fang Chen, Siu-Wing Cheng, David Dobkin, Nikolai Dolbilin, Ping Fu, Sergei Ryshkov, and Vadim Shapiro for discussions on the topic of this paper.","quality_controlled":"1","month":"10","status":"public","type":"conference","date_published":"1995-10-01T00:00:00Z","main_file_link":[{"url":"https://ieeexplore.ieee.org/abstract/document/492480"}],"citation":{"chicago":"Edelsbrunner, Herbert. “Algebraic Decomposition of Non-Convex Polyhedra.” In Proceedings of IEEE 36th Annual Foundations of Computer Science, 248–57. IEEE, 1995.","mla":"Edelsbrunner, Herbert. “Algebraic Decomposition of Non-Convex Polyhedra.” Proceedings of IEEE 36th Annual Foundations of Computer Science, IEEE, 1995, pp. 248–57.","ama":"Edelsbrunner H. Algebraic decomposition of non-convex polyhedra. In: Proceedings of IEEE 36th Annual Foundations of Computer Science. IEEE; 1995:248-257.","ieee":"H. Edelsbrunner, “Algebraic decomposition of non-convex polyhedra,” in Proceedings of IEEE 36th Annual Foundations of Computer Science, Milwaukee, WI, United States of America, 1995, pp. 248–257.","short":"H. Edelsbrunner, in:, Proceedings of IEEE 36th Annual Foundations of Computer Science, IEEE, 1995, pp. 248–257.","apa":"Edelsbrunner, H. (1995). Algebraic decomposition of non-convex polyhedra. In Proceedings of IEEE 36th Annual Foundations of Computer Science (pp. 248–257). Milwaukee, WI, United States of America: IEEE.","ista":"Edelsbrunner H. 1995. Algebraic decomposition of non-convex polyhedra. Proceedings of IEEE 36th Annual Foundations of Computer Science. FOCS: Foundations of Computer Science, 248–257."},"oa_version":"None"},{"publication_identifier":{"issn":["0179-5376"]},"issue":"1","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF02574025"}],"intvolume":" 13","citation":{"mla":"Chazelle, Bernard, et al. “Improved Bounds on Weak ε-Nets for Convex Sets.” Discrete & Computational Geometry, vol. 13, no. 1, Springer, 1995, pp. 1–15, doi:10.1007/BF02574025.","ama":"Chazelle B, Edelsbrunner H, Grigni M, Guibas L, Sharir M, Welzl E. Improved bounds on weak ε-nets for convex sets. Discrete & Computational Geometry. 1995;13(1):1-15. doi:10.1007/BF02574025","chicago":"Chazelle, Bernard, Herbert Edelsbrunner, Michelangelo Grigni, Leonidas Guibas, Micha Sharir, and Emo Welzl. “Improved Bounds on Weak ε-Nets for Convex Sets.” Discrete & Computational Geometry. Springer, 1995. https://doi.org/10.1007/BF02574025.","apa":"Chazelle, B., Edelsbrunner, H., Grigni, M., Guibas, L., Sharir, M., & Welzl, E. (1995). Improved bounds on weak ε-nets for convex sets. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/BF02574025","ista":"Chazelle B, Edelsbrunner H, Grigni M, Guibas L, Sharir M, Welzl E. 1995. Improved bounds on weak ε-nets for convex sets. Discrete & Computational Geometry. 13(1), 1–15.","short":"B. Chazelle, H. Edelsbrunner, M. Grigni, L. Guibas, M. Sharir, E. Welzl, Discrete & Computational Geometry 13 (1995) 1–15.","ieee":"B. Chazelle, H. Edelsbrunner, M. Grigni, L. Guibas, M. Sharir, and E. Welzl, “Improved bounds on weak ε-nets for convex sets,” Discrete & Computational Geometry, vol. 13, no. 1. Springer, pp. 1–15, 1995."},"status":"public","acknowledgement":"The authors wish to express their gratitude for the support and hospitality of the DEC Palo Alto Systems Research Center.","_id":"4035","title":"Improved bounds on weak ε-nets for convex sets","abstract":[{"lang":"eng","text":"Let S be a set of n points in ℝd . A set W is a weak ε-net for (convex ranges of)S if, for any T⊆S containing εn points, the convex hull of T intersects W. We show the existence of weak ε-nets of size {Mathematical expression}, where β2=0, β3=1, and βd ≈0.149·2d-1(d-1)!, improving a previous bound of Alon et al. Such a net can be computed effectively. We also consider two special cases: when S is a planar point set in convex position, we prove the existence of a net of size O((1/ε) log1.6(1/ε)). In the case where S consists of the vertices of a regular polygon, we use an argument from hyperbolic geometry to exhibit an optimal net of size O(1/ε), which improves a previous bound of Capoyleas."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_status":"published","publist_id":"2094","day":"01","date_created":"2018-12-11T12:06:33Z","page":"1 - 15","author":[{"full_name":"Chazelle, Bernard","first_name":"Bernard","last_name":"Chazelle"},{"orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"last_name":"Grigni","first_name":"Michelangelo","full_name":"Grigni, Michelangelo"},{"full_name":"Guibas, Leonidas","first_name":"Leonidas","last_name":"Guibas"},{"last_name":"Sharir","full_name":"Sharir, Micha","first_name":"Micha"},{"last_name":"Welzl","full_name":"Welzl, Emo","first_name":"Emo"}],"language":[{"iso":"eng"}],"year":"1995","article_type":"original","oa_version":"None","volume":13,"date_published":"1995-12-01T00:00:00Z","type":"journal_article","extern":"1","quality_controlled":"1","month":"12","publication":"Discrete & Computational Geometry","date_updated":"2022-06-13T12:37:06Z","publisher":"Springer","doi":"10.1007/BF02574025","article_processing_charge":"No"},{"volume":86,"date_published":"1995-01-01T00:00:00Z","type":"journal_article","status":"public","article_type":"original","oa_version":"None","citation":{"chicago":"Ransom, D., Alison Brownlie, Pascal Haffter, Jörg Odenthal, Robert Kelsh, Michael Brand, Makoto Furutani Seiki, et al. “Hematopoietic Mutants Identified in a Saturation Screen of the Zebrafish Genome.” Blood. American Society of Hematology, 1995.","mla":"Ransom, D., et al. “Hematopoietic Mutants Identified in a Saturation Screen of the Zebrafish Genome.” Blood, vol. 86, no. 10, American Society of Hematology, 1995, pp. 1912–1912.","ama":"Ransom D, Brownlie A, Haffter P, et al. Hematopoietic mutants identified in a saturation screen of the zebrafish genome. Blood. 1995;86(10):1912-1912.","short":"D. Ransom, A. Brownlie, P. Haffter, J. Odenthal, R. Kelsh, M. Brand, M. Furutani Seiki, M. Granato, M. Hammerschmidt, C.-P.J. Heisenberg, Y. Jiang, D. Kane, M. Mullins, F. Van Eden, R. Warga, C. Nüsslein Volhard, L. Zon, Blood 86 (1995) 1912–1912.","ieee":"D. Ransom et al., “Hematopoietic mutants identified in a saturation screen of the zebrafish genome,” Blood, vol. 86, no. 10. American Society of Hematology, pp. 1912–1912, 1995.","apa":"Ransom, D., Brownlie, A., Haffter, P., Odenthal, J., Kelsh, R., Brand, M., … Zon, L. (1995). Hematopoietic mutants identified in a saturation screen of the zebrafish genome. Blood. American Society of Hematology.","ista":"Ransom D, Brownlie A, Haffter P, Odenthal J, Kelsh R, Brand M, Furutani Seiki M, Granato M, Hammerschmidt M, Heisenberg C-PJ, Jiang Y, Kane D, Mullins M, Van Eden F, Warga R, Nüsslein Volhard C, Zon L. 1995. Hematopoietic mutants identified in a saturation screen of the zebrafish genome. Blood. 86(10), 1912–1912."},"intvolume":" 86","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","article_processing_charge":"No","_id":"4153","publication":"Blood","publisher":"American Society of Hematology","date_updated":"2022-06-13T12:02:52Z","title":"Hematopoietic mutants identified in a saturation screen of the zebrafish genome","month":"01","extern":"1","quality_controlled":"1","author":[{"full_name":"Ransom, D.","first_name":"D.","last_name":"Ransom"},{"full_name":"Brownlie, Alison","first_name":"Alison","last_name":"Brownlie"},{"full_name":"Haffter, Pascal","first_name":"Pascal","last_name":"Haffter"},{"last_name":"Odenthal","first_name":"Jörg","full_name":"Odenthal, Jörg"},{"last_name":"Kelsh","full_name":"Kelsh, Robert","first_name":"Robert"},{"first_name":"Michael","full_name":"Brand, Michael","last_name":"Brand"},{"first_name":"Makoto","full_name":"Furutani Seiki, Makoto","last_name":"Furutani Seiki"},{"last_name":"Granato","first_name":"Michael","full_name":"Granato, Michael"},{"first_name":"Matthias","full_name":"Hammerschmidt, Matthias","last_name":"Hammerschmidt"},{"full_name":"Heisenberg, Carl-Philipp J","id":"39427864-F248-11E8-B48F-1D18A9856A87","first_name":"Carl-Philipp J","orcid":"0000-0002-0912-4566","last_name":"Heisenberg"},{"last_name":"Jiang","full_name":"Jiang, Yunjin","first_name":"Yunjin"},{"last_name":"Kane","first_name":"David","full_name":"Kane, David"},{"full_name":"Mullins, Mary","first_name":"Mary","last_name":"Mullins"},{"last_name":"Van Eden","full_name":"Van Eden, Fredericus","first_name":"Fredericus"},{"first_name":"Rachel","full_name":"Warga, Rachel","last_name":"Warga"},{"last_name":"Nüsslein Volhard","full_name":"Nüsslein Volhard, Christiane","first_name":"Christiane"},{"last_name":"Zon","first_name":"L.","full_name":"Zon, L."}],"issue":"10","page":"1912 - 1912","publication_identifier":{"issn":["0006-4971"]},"date_created":"2018-12-11T12:07:16Z","publist_id":"1965","publication_status":"published","day":"01","language":[{"iso":"eng"}],"year":"1995"},{"article_processing_charge":"No","publication":"Evolution","doi":"10.1111/j.1558-5646.1995.tb02285.x","date_updated":"2022-06-13T08:42:11Z","publisher":"Wiley-Blackwell","month":"06","extern":"1","quality_controlled":"1","oa":1,"volume":49,"date_published":"1995-06-01T00:00:00Z","type":"journal_article","oa_version":"Published Version","external_id":{"pmid":["28565092 "]},"article_type":"original","language":[{"iso":"eng"}],"year":"1995","author":[{"last_name":"Partridge","full_name":"Partridge, Linda","first_name":"Linda"},{"full_name":"Barrie, Brian","first_name":"Brian","last_name":"Barrie"},{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","full_name":"Barton, Nicholas H","orcid":"0000-0002-8548-5240","last_name":"Barton"},{"last_name":"Fowler","first_name":"Kevin","full_name":"Fowler, Kevin"},{"first_name":"Vernon","full_name":"French, Vernon","last_name":"French"}],"page":"538 - 544","date_created":"2018-12-11T12:08:06Z","publication_status":"published","publist_id":"1778","day":"01","abstract":[{"lang":"eng","text":"Three replicate lines of Drosophila melanogaster were cultured at each of two temperatures (16.5⚬C and 25⚬C) in population cages for 4 yr. The lifespans of both sexes and the fecundity and fertility of the females were then measured at both experimental temperatures. The characters showed evidence of adaptation; flies of both sexes from each selection regime showed higher longevity, and females showed higher fecundity and fertility, than flies from the other selection regime when they were tested at the experimental temperature at which they had evolved. Calculation of intrinsic rates of increase under different assumptions about the rate of population increase showed that the difference between the lines from the two selection regimes became less the higher the rate of population increase, because the lines were more similar in early adulthood than they were later. Despite the increased adaptation of the low-temperature lines to the low temperature, like the high temperature lines they produced progeny at a higher rate at the higher temperature. The lines may have independently evolved adaptations to their respective thermal regimes during the experiment, or there may have been a trade-off between adaptation to the two temperatures, or mutation pressure may have lowered adaptation to the temperature that the flies no longer encountered."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4296","title":"Rapid laboratory evolution of adult life history traits in Drosophila melanogaster in response to temperature","pmid":1,"acknowledgement":"We thank Natural Environment Research Council and the Royal Society for financial support.","status":"public","main_file_link":[{"open_access":"1","url":"https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1558-5646.1995.tb02285.x"}],"citation":{"chicago":"Partridge, Linda, Brian Barrie, Nicholas H Barton, Kevin Fowler, and Vernon French. “Rapid Laboratory Evolution of Adult Life History Traits in Drosophila Melanogaster in Response to Temperature.” Evolution. Wiley-Blackwell, 1995. https://doi.org/10.1111/j.1558-5646.1995.tb02285.x.","ama":"Partridge L, Barrie B, Barton NH, Fowler K, French V. Rapid laboratory evolution of adult life history traits in Drosophila melanogaster in response to temperature. Evolution. 1995;49(3):538-544. doi:10.1111/j.1558-5646.1995.tb02285.x","mla":"Partridge, Linda, et al. “Rapid Laboratory Evolution of Adult Life History Traits in Drosophila Melanogaster in Response to Temperature.” Evolution, vol. 49, no. 3, Wiley-Blackwell, 1995, pp. 538–44, doi:10.1111/j.1558-5646.1995.tb02285.x.","ieee":"L. Partridge, B. Barrie, N. H. Barton, K. Fowler, and V. French, “Rapid laboratory evolution of adult life history traits in Drosophila melanogaster in response to temperature,” Evolution, vol. 49, no. 3. Wiley-Blackwell, pp. 538–544, 1995.","short":"L. Partridge, B. Barrie, N.H. Barton, K. Fowler, V. French, Evolution 49 (1995) 538–544.","ista":"Partridge L, Barrie B, Barton NH, Fowler K, French V. 1995. Rapid laboratory evolution of adult life history traits in Drosophila melanogaster in response to temperature. Evolution. 49(3), 538–544.","apa":"Partridge, L., Barrie, B., Barton, N. H., Fowler, K., & French, V. (1995). Rapid laboratory evolution of adult life history traits in Drosophila melanogaster in response to temperature. Evolution. Wiley-Blackwell. https://doi.org/10.1111/j.1558-5646.1995.tb02285.x"},"intvolume":" 49","scopus_import":"1","issue":"3","publication_identifier":{"issn":["0014-3820"]}},{"type":"journal_article","date_published":"1995-02-01T00:00:00Z","volume":49,"oa_version":"Published Version","article_type":"original","external_id":{"pmid":["28593667"]},"doi":"10.1111/j.1558-5646.1995.tb05955.x","date_updated":"2022-06-13T09:24:40Z","publisher":"Wiley-Blackwell","publication":"Evolution","article_processing_charge":"No","quality_controlled":"1","oa":1,"extern":"1","month":"02","page":"9 - 36","author":[{"full_name":"Sites, Jack","first_name":"Jack","last_name":"Sites"},{"first_name":"Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","full_name":"Barton, Nicholas H","last_name":"Barton","orcid":"0000-0002-8548-5240"},{"first_name":"Kent","full_name":"Reed, Kent","last_name":"Reed"}],"day":"01","publist_id":"1779","publication_status":"published","date_created":"2018-12-11T12:08:06Z","language":[{"iso":"eng"}],"year":"1995","status":"public","intvolume":" 49","citation":{"ieee":"J. Sites, N. H. Barton, and K. Reed, “The genetic structure of a mosaic hybrid zone between two chromosome races of the Sceloporus grammicus complex (Sauria, Phrynosomatidae) in central Mexico,” Evolution, vol. 49, no. 1. Wiley-Blackwell, pp. 9–36, 1995.","short":"J. Sites, N.H. Barton, K. Reed, Evolution 49 (1995) 9–36.","ista":"Sites J, Barton NH, Reed K. 1995. The genetic structure of a mosaic hybrid zone between two chromosome races of the Sceloporus grammicus complex (Sauria, Phrynosomatidae) in central Mexico. Evolution. 49(1), 9–36.","apa":"Sites, J., Barton, N. H., & Reed, K. (1995). The genetic structure of a mosaic hybrid zone between two chromosome races of the Sceloporus grammicus complex (Sauria, Phrynosomatidae) in central Mexico. Evolution. Wiley-Blackwell. https://doi.org/10.1111/j.1558-5646.1995.tb05955.x","chicago":"Sites, Jack, Nicholas H Barton, and Kent Reed. “The Genetic Structure of a Mosaic Hybrid Zone between Two Chromosome Races of the Sceloporus Grammicus Complex (Sauria, Phrynosomatidae) in Central Mexico.” Evolution. Wiley-Blackwell, 1995. https://doi.org/10.1111/j.1558-5646.1995.tb05955.x.","ama":"Sites J, Barton NH, Reed K. The genetic structure of a mosaic hybrid zone between two chromosome races of the Sceloporus grammicus complex (Sauria, Phrynosomatidae) in central Mexico. Evolution. 1995;49(1):9-36. doi:10.1111/j.1558-5646.1995.tb05955.x","mla":"Sites, Jack, et al. “The Genetic Structure of a Mosaic Hybrid Zone between Two Chromosome Races of the Sceloporus Grammicus Complex (Sauria, Phrynosomatidae) in Central Mexico.” Evolution, vol. 49, no. 1, Wiley-Blackwell, 1995, pp. 9–36, doi:10.1111/j.1558-5646.1995.tb05955.x."},"main_file_link":[{"url":"https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1558-5646.1995.tb05955.x","open_access":"1"}],"title":"The genetic structure of a mosaic hybrid zone between two chromosome races of the Sceloporus grammicus complex (Sauria, Phrynosomatidae) in central Mexico","_id":"4297","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","abstract":[{"text":"The F5 (2n = 34) and FM2 (2n = 44-46) chromosome races of the Sceloporus grammicus complex form a parapatric hybrid zone in the Mexican state of Hidalgo, characterized by steep concordant clines among three diagnostic chromosome markers across a straight-line distance of about 2 km. Here, we show that this zone is actually structured into local patches in which hybridization extends over an extremely irregular front. The distribution of hybrid-index (HI) scores across the transect reveals some hybridization at almost all localities mapped in a central 7 km x 3 km area. Pooling the central samples produces both a strong heterozygote deficit for all diagnostic markers and strong linkage disequilibria between all pairwise combinations of these (unlinked) markers. Moreover, a highly significant association exists between the habitat on which each individual was caught and its karyotype (F5 chromosomes are more likely to be found on oak). Analysis of genotype frequencies over a range of spatial scales shows that there is no significant heterozygote deficit or habitat association within local areas of less than about 200 m; however, there is significant linkage disequilibrium over the smallest scales (R = D (pquv)1/2 = 0.29, support limits, 0.18-0.36) over 100 m. These patterns suggest that lizards mate and choose habitats randomly within local patches. This conclusion is supported by mark-recapture estimates of dispersal (≈ 80 m in a generation) and by inference of matings from embryo and maternal karyotypes. Closer examination of the two-dimensional pattern reveals a convoluted cline for all three markers, with a width of 830 m (support limits 770 m-930 m). This cline width, combined with the strength of local linkage disequilibrium, implies a dispersal rate of σ = 160 m in a generation and an effective selection pressure of 30% on each chromosome marker. The proportion of inviable embryos is greater in females from the center of the hybrid zone; this is caused by effects associated with both karyotype and location. The hybrid zone is likely to be maintained by selection against chromosomal heterozygotes, by other kinds of selection against hybrids, and by selection adapting the chromosome races to different habitats. The structure of the contact may be caused by both random drift and by selection in relation to habitat.","lang":"eng"}],"acknowledgement":"For field assistance in collecting and mapping of the zone, we thank E. Arevalo, I. Goyenechea, D. Hutchison, M. Man- cilia, F. Mendoza, D. Mink, and J. and H. Sites. The mark- recapture work was carried out by M. Mancilla, F Mendoza, and A. Gonzales. J.W.S. also thanks T. Hinckley and D. Ste­vens of the Brigham Young University Department of Ge­ography for lessons in surveying and map making and use of the field equipment and planimeter. B. Nürnberger pro­vided the digitized coordinates for individual lizards and as­sisted with the analysis of spatial structure and viability. B. Nürnberger, C. MacCallum, J. Mallet, and J. Searle also pro­vided helpful comments on the manuscript. This work was supported by National Science Foundation grants BSR 85- 09092 and 88-22751 to J.W.S., and grants from the Science and Engineering Research Council (GR/H09929) and Natural Environment Research Council (GR3/8002) and the DarwinTrust to N.H.B. The Mexican agency Secretaria de DesarrolloUrbano y Ecologia (now Secretaria de Desarrollo Social) kindly provided scientific collecting permits (to E. Arévalo) for field work in 1989 and 1991.","pmid":1,"issue":"1","publication_identifier":{"issn":["0014-3820"]},"scopus_import":"1"},{"_id":"4298","title":"Appendix to \"A simulation study of multilocus clines\" by S J E Baird","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1111/j.1558-5646.1995.tb04431.x"}],"citation":{"mla":"Barton, Nicholas H. “Appendix to ‘A Simulation Study of Multilocus Clines’ by S J E Baird.” Evolution, vol. 49, no. 6, Wiley, 1995, pp. 1038–45, doi:10.1111/j.1558-5646.1995.tb04431.x.","ama":"Barton NH. Appendix to “A simulation study of multilocus clines” by S J E Baird. Evolution. 1995;49(6):1038-1045. doi:10.1111/j.1558-5646.1995.tb04431.x","chicago":"Barton, Nicholas H. “Appendix to ‘A Simulation Study of Multilocus Clines’ by S J E Baird.” Evolution. Wiley, 1995. https://doi.org/10.1111/j.1558-5646.1995.tb04431.x.","apa":"Barton, N. H. (1995). Appendix to “A simulation study of multilocus clines” by S J E Baird. Evolution. Wiley. https://doi.org/10.1111/j.1558-5646.1995.tb04431.x","ista":"Barton NH. 1995. Appendix to ‘A simulation study of multilocus clines’ by S J E Baird. Evolution. 49(6), 1038–1045.","ieee":"N. H. Barton, “Appendix to ‘A simulation study of multilocus clines’ by S J E Baird,” Evolution, vol. 49, no. 6. Wiley, pp. 1038–1045, 1995.","short":"N.H. Barton, Evolution 49 (1995) 1038–1045."},"intvolume":" 49","status":"public","publication_identifier":{"issn":["1558-5646"]},"issue":"6","extern":"1","quality_controlled":"1","oa":1,"month":"12","publication":"Evolution","doi":"10.1111/j.1558-5646.1995.tb04431.x","date_updated":"2022-06-28T07:47:30Z","publisher":"Wiley","article_processing_charge":"No","oa_version":"Published Version","article_type":"original","volume":49,"type":"journal_article","date_published":"1995-12-01T00:00:00Z","year":"1995","language":[{"iso":"eng"}],"publication_status":"published","publist_id":"1773","day":"01","date_created":"2018-12-11T12:08:07Z","page":"1038 - 1045","author":[{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","full_name":"Barton, Nicholas H","orcid":"0000-0002-8548-5240","last_name":"Barton"}]},{"language":[{"iso":"eng"}],"year":"1995","supervisor":[{"last_name":"Henzinger","orcid":"0000-0002-2985-7724","full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"}],"page":"1 - 188","author":[{"first_name":"Pei","full_name":"Ho, Pei","last_name":"Ho"}],"publist_id":"304","publication_status":"published","day":"01","degree_awarded":"PhD","date_created":"2018-12-11T12:08:48Z","_id":"4428","publisher":"Cornell University","date_updated":"2022-06-28T07:30:34Z","title":"Automatic analysis of hybrid systems","abstract":[{"lang":"eng","text":"Hybrid systems are real-time systems that react to both discrete and continuous activities (such as analog signals, time, temperature, and speed). Typical examples of hybrid systems are embedded systems, timing-based communication protocols, and digital circuits at the transistor level. Due to the rapid development of microprocessor technology, hybrid systems directly control much of what we depend on in our daily lives. Consequently, the formal specification and verification of hybrid systems has become an active area of research. This dissertation presents the first general framework for the formal specification and verification of hybrid systems, as well as the first hybrid-system analysis tool--HyTech. The framework consists of a graphical finite-state-machine-like language for modeling hybrid systems, a temporal logic for modeling the requirements of hybrid systems, and a computer procedure that verifies modeled hybrid systems against modeled requirements. The tool HyTech is the implementation of the framework using C++ and Mathematica.\r\n\r\nMore specifically, our hybrid-system modeling language, Hybrid Automata, is an extension of timed automata with discrete and continuous variables whose dynamics are governed by differential equations. Our requirement modeling language, ICTL, is a branching-time temporal logic, and is an extension of TCTL with stop-watch variables. Our verification procedure is a symbolic model-checking procedure that verifies linear hybrid automata against ICTL formulas. To make HyTech more efficient and effective, we use model-checking strategies and abstract operators that can expedite the verification process. To enable HyTech to verify nonlinear hybrid automata, we introduce two translations from nonlinear hybrid automata to linear hybrid automata. We have applied HyTech to analyze more than 30 hybrid-system benchmarks. In this dissertation, we present the application of HyTech to three nontrivial hybrid systems taken from the literature."}],"article_processing_charge":"No","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","extern":"1","oa":1,"month":"08","status":"public","date_published":"1995-08-01T00:00:00Z","type":"dissertation","main_file_link":[{"open_access":"1","url":"https://hdl.handle.net/1813/7193"}],"citation":{"chicago":"Ho, Pei. “Automatic Analysis of Hybrid Systems.” Cornell University, 1995.","ama":"Ho P. Automatic analysis of hybrid systems. 1995:1-188.","mla":"Ho, Pei. Automatic Analysis of Hybrid Systems. Cornell University, 1995, pp. 1–188.","short":"P. Ho, Automatic Analysis of Hybrid Systems, Cornell University, 1995.","ieee":"P. Ho, “Automatic analysis of hybrid systems,” Cornell University, 1995.","ista":"Ho P. 1995. Automatic analysis of hybrid systems. Cornell University.","apa":"Ho, P. (1995). Automatic analysis of hybrid systems. Cornell University."},"oa_version":"Published Version"},{"status":"public","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/3-540-60472-3_14"}],"editor":[{"first_name":"Antsaklis","full_name":"Panos, Antsaklis","last_name":"Panos"},{"last_name":"Kohn","first_name":"Wolf","full_name":"Kohn, Wolf"},{"first_name":"Anil","full_name":"Nerode, Anil","last_name":"Nerode"},{"first_name":"Shankar","full_name":"Sastry, Shankar","last_name":"Sastry"}],"citation":{"ista":"Henzinger TA, Ho P. 1995. HyTech: The Cornell Hybrid Technology Tool. 4th International Hybrid Systems Workshop. Hybrid Systems IIILNCS, LNCS, vol. 999, 265–293.","apa":"Henzinger, T. A., & Ho, P. (1995). HyTech: The Cornell Hybrid Technology Tool. In A. Panos, W. Kohn, A. Nerode, & S. Sastry (Eds.), 4th International Hybrid Systems Workshop (Vol. 999, pp. 265–293). New Brunswick, NJ, United States of America: Springer. https://doi.org/10.1007/3-540-60472-3_14","ieee":"T. A. Henzinger and P. Ho, “HyTech: The Cornell Hybrid Technology Tool,” in 4th International Hybrid Systems Workshop, New Brunswick, NJ, United States of America, 1995, vol. 999, pp. 265–293.","short":"T.A. Henzinger, P. Ho, in:, A. Panos, W. Kohn, A. Nerode, S. Sastry (Eds.), 4th International Hybrid Systems Workshop, Springer, 1995, pp. 265–293.","ama":"Henzinger TA, Ho P. HyTech: The Cornell Hybrid Technology Tool. In: Panos A, Kohn W, Nerode A, Sastry S, eds. 4th International Hybrid Systems Workshop. Vol 999. LNCS. Springer; 1995:265-293. doi:10.1007/3-540-60472-3_14","mla":"Henzinger, Thomas A., and Pei Ho. “HyTech: The Cornell Hybrid Technology Tool.” 4th International Hybrid Systems Workshop, edited by Antsaklis Panos et al., vol. 999, Springer, 1995, pp. 265–93, doi:10.1007/3-540-60472-3_14.","chicago":"Henzinger, Thomas A, and Pei Ho. “HyTech: The Cornell Hybrid Technology Tool.” In 4th International Hybrid Systems Workshop, edited by Antsaklis Panos, Wolf Kohn, Anil Nerode, and Shankar Sastry, 999:265–93. LNCS. Springer, 1995. https://doi.org/10.1007/3-540-60472-3_14."},"intvolume":" 999","abstract":[{"lang":"eng","text":"This paper is addressed to potential users of HyTech, the Cornell Hybrid Technology Tool, an automatic tool for analyzing hybrid systems. We review the formal technologies that have been incorporated into HyTech, and we illustrate the use of HyTech with three nontrivial case studies."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4447","title":"HyTech: The Cornell Hybrid Technology Tool","acknowledgement":"This research was supported in part by the National Science Foundation under grant CCR-9200794, by the Air Force Office of Scientific Research under contract F49620-93-1-0056, by the Office of Naval Research under YIP grant N00014-95-1-0520, and by the Defense Advanced Research Projects Agency under grant NAG2-892.","publication_identifier":{"isbn":["9783540683346"]},"volume":999,"type":"conference","date_published":"1995-01-01T00:00:00Z","oa_version":"None","article_processing_charge":"No","publication":"4th International Hybrid Systems Workshop","doi":"10.1007/3-540-60472-3_14","publisher":"Springer","date_updated":"2022-06-10T11:24:15Z","month":"01","extern":"1","quality_controlled":"1","series_title":"LNCS","author":[{"last_name":"Henzinger","orcid":"0000−0002−2985−7724","full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Ho","first_name":"Pei","full_name":"Ho, Pei"}],"page":"265 - 293","alternative_title":["LNCS"],"conference":{"start_date":"1995-10-22","name":"Hybrid Systems III","location":" New Brunswick, NJ, United States of America","end_date":"1955-10-25"},"date_created":"2018-12-11T12:08:54Z","publist_id":"281","publication_status":"published","day":"01","year":"1995","language":[{"iso":"eng"}]},{"oa_version":"None","volume":999,"type":"conference","date_published":"1995-01-01T00:00:00Z","month":"01","extern":"1","quality_controlled":"1","article_processing_charge":"No","publication":"3rd International Hybrid Systems Workshop","publisher":"Springer","date_updated":"2022-06-10T11:48:59Z","doi":"10.1007/3-540-60472-3_13","date_created":"2018-12-11T12:08:54Z","publication_status":"published","publist_id":"282","day":"01","author":[{"orcid":"0000−0002−2985−7724","last_name":"Henzinger","full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Ho, Pei","first_name":"Pei","last_name":"Ho"}],"page":"252 - 264","alternative_title":["LNCS"],"conference":{"end_date":"1994-10-30","location":"Ithaca, NY, United States of America","name":"Hybrid Systems II","start_date":"1994-10-28"},"year":"1995","language":[{"iso":"eng"}],"editor":[{"full_name":"Panos, Antsaklis","first_name":"Antsaklis","last_name":"Panos"},{"first_name":"Wolf","full_name":"Kohn, Wolf","last_name":"Kohn"},{"full_name":"Nerode, Anil","first_name":"Anil","last_name":"Nerode"},{"first_name":"Shankar","full_name":"Sastry, Shankar","last_name":"Sastry"}],"main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/3-540-60472-3_13"}],"intvolume":" 999","citation":{"ieee":"T. A. Henzinger and P. Ho, “A note on abstract-interpretation strategies for hybrid automata,” in 3rd International Hybrid Systems Workshop, Ithaca, NY, United States of America, 1995, vol. 999, pp. 252–264.","short":"T.A. Henzinger, P. Ho, in:, A. Panos, W. Kohn, A. Nerode, S. Sastry (Eds.), 3rd International Hybrid Systems Workshop, Springer, 1995, pp. 252–264.","apa":"Henzinger, T. A., & Ho, P. (1995). A note on abstract-interpretation strategies for hybrid automata. In A. Panos, W. Kohn, A. Nerode, & S. Sastry (Eds.), 3rd International Hybrid Systems Workshop (Vol. 999, pp. 252–264). Ithaca, NY, United States of America: Springer. https://doi.org/10.1007/3-540-60472-3_13","ista":"Henzinger TA, Ho P. 1995. A note on abstract-interpretation strategies for hybrid automata. 3rd International Hybrid Systems Workshop. Hybrid Systems II, LNCS, vol. 999, 252–264.","chicago":"Henzinger, Thomas A, and Pei Ho. “A Note on Abstract-Interpretation Strategies for Hybrid Automata.” In 3rd International Hybrid Systems Workshop, edited by Antsaklis Panos, Wolf Kohn, Anil Nerode, and Shankar Sastry, 999:252–64. Springer, 1995. https://doi.org/10.1007/3-540-60472-3_13.","mla":"Henzinger, Thomas A., and Pei Ho. “A Note on Abstract-Interpretation Strategies for Hybrid Automata.” 3rd International Hybrid Systems Workshop, edited by Antsaklis Panos et al., vol. 999, Springer, 1995, pp. 252–64, doi:10.1007/3-540-60472-3_13.","ama":"Henzinger TA, Ho P. A note on abstract-interpretation strategies for hybrid automata. In: Panos A, Kohn W, Nerode A, Sastry S, eds. 3rd International Hybrid Systems Workshop. Vol 999. Springer; 1995:252-264. doi:10.1007/3-540-60472-3_13"},"status":"public","acknowledgement":" National Science Foundation under grant CCR-9200794, by the Air Force Office of Scientific Research under contract F49620-93-1-0056, by the Office of Naval Research under YIP grant N00014-95-1-0520, and by the Defense Advanced Research Projects Agency under grant NAG2-892.","abstract":[{"lang":"eng","text":"We report on several abstract interpretation strategies that are designed to improve the performance of HyTech, a symbolic model checker for linear hybrid systems. We (1) simultaneously compute the target region from different directions, (2) conservatively approximate the target region by dropping constraints, and (3) iteratively refine the approximation until sufficient precision is obtained. We consider the standard abstract convex-hull operator and a novel abstract extrapolation operator."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4448","title":"A note on abstract-interpretation strategies for hybrid automata","publication_identifier":{"isbn":["9783540604723"]}},{"scopus_import":"1","publication_identifier":{"isbn":["9783540494133"]},"_id":"4450","title":"Algorithmic analysis of nonlinear hybrid systems","abstract":[{"text":"Hybrid systems model discrete programs that are embedded in continuous environments. Model-checking tools are available for the analysis of linear hybrid systems, whose continuous variables are bounded by piecewise-linear trajectories. Most embedded programs, however, operate in nonlinear environments. We present, analyze, and apply two algorithms for translating nonlinear hybrid systems into linear hybrid systems.\r\nThe clock translation replaces nonlinear variables by clock variables; the rate translation approximates nonlinear variables by piecewise-linear envelopes. Both translations are sound for reachability; that is, if we establish a safety property of the translated linear system, we may conclude that the original nonlinear system satisfies the property. The clock translation is also complete for reachability; that is, the original system and the translated system satisfy the same safety properties. The two translations apply to incomparable classes of nonlinear hybrid systems. From the clock translation we obtain a new decidability result for hybrid systems.\r\nWith the help of Hytech, a symbolic model checker for linear hybrid systems, we automatically verify a nonlinear railroad gate control program using the clock translation, and a nonlinear temperature control program using the rate translation.","lang":"eng"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","acknowledgement":"This research was supported in part by the NSF grant CCR-9200794, by the AFOSR contract F49620-93-1-0056, and by the DARPA grant NAG2-892.","status":"public","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/3-540-60045-0_53"}],"citation":{"short":"T.A. Henzinger, P. Ho, in:, 7th International Conference on Computer Aided Verification, Springer, 1995, pp. 225–238.","ieee":"T. A. Henzinger and P. Ho, “Algorithmic analysis of nonlinear hybrid systems,” in 7th International Conference on Computer Aided Verification, Liege, Belgium, 1995, vol. 939, pp. 225–238.","ista":"Henzinger TA, Ho P. 1995. Algorithmic analysis of nonlinear hybrid systems. 7th International Conference on Computer Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 939, 225–238.","apa":"Henzinger, T. A., & Ho, P. (1995). Algorithmic analysis of nonlinear hybrid systems. In 7th International Conference on Computer Aided Verification (Vol. 939, pp. 225–238). Liege, Belgium: Springer. https://doi.org/10.1007/3-540-60045-0_53","chicago":"Henzinger, Thomas A, and Pei Ho. “Algorithmic Analysis of Nonlinear Hybrid Systems.” In 7th International Conference on Computer Aided Verification, 939:225–38. Springer, 1995. https://doi.org/10.1007/3-540-60045-0_53.","ama":"Henzinger TA, Ho P. Algorithmic analysis of nonlinear hybrid systems. In: 7th International Conference on Computer Aided Verification. Vol 939. Springer; 1995:225-238. doi:10.1007/3-540-60045-0_53","mla":"Henzinger, Thomas A., and Pei Ho. “Algorithmic Analysis of Nonlinear Hybrid Systems.” 7th International Conference on Computer Aided Verification, vol. 939, Springer, 1995, pp. 225–38, doi:10.1007/3-540-60045-0_53."},"intvolume":" 939","language":[{"iso":"eng"}],"year":"1995","page":"225 - 238","alternative_title":["LNCS"],"conference":{"location":"Liege, Belgium","end_date":"1995-07-05","start_date":"1995-07-03","name":"CAV: Computer Aided Verification"},"author":[{"last_name":"Henzinger","orcid":"0000−0002−2985−7724","full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Pei","full_name":"Ho, Pei","last_name":"Ho"}],"publist_id":"280","publication_status":"published","day":"01","date_created":"2018-12-11T12:08:55Z","publication":"7th International Conference on Computer Aided Verification","doi":"10.1007/3-540-60045-0_53","date_updated":"2022-06-10T09:48:52Z","publisher":"Springer","article_processing_charge":"No","extern":"1","quality_controlled":"1","month":"01","volume":939,"date_published":"1995-01-01T00:00:00Z","type":"conference","oa_version":"None"},{"scopus_import":"1","publication_identifier":{"isbn":["9783540606307"]},"acknowledgement":"This research was supported in part by the ONR YIP award N00014-95-1-0520, by the NSF CAREER award CCR-9501708, by the NSF grants CCR-9200794 and CCR-9504469, by the AFOSR contract F49620-93-1-0056, and by the ARPA grant NAG2-892.","abstract":[{"lang":"eng","text":"HyTech is a tool for the automated analysis of embedded systems. This document, designed for the first-time user of HyTech, guides the reader through the underlying system model, and through the input language for describing and analyzing systems. The guide gives several examples of usage, and some hints for gaining maximal computational efficiency from the tool.\r\nThe version of HyTech described in this guide was released in August 1995, and is available through anonymous ftp from ftp.cs.cornell.edu in the directory pub/tah/HyTech, and through the World-Wide Web via HyTech's home page http:/www.cs.cornell.edu/Info/People/tah/hytech.html."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4497","title":"A user guide to HyTech","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/3-540-60630-0_3"}],"intvolume":" 1019","citation":{"ista":"Henzinger TA, Ho P, Wong Toi H. 1995. A user guide to HyTech. 1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for the Construction and Analysis of Systems, LNCS, vol. 1019, 41–71.","apa":"Henzinger, T. A., Ho, P., & Wong Toi, H. (1995). A user guide to HyTech. In 1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems (Vol. 1019, pp. 41–71). Aarhus, Denmark: Springer. https://doi.org/10.1007/3-540-60630-0_3","ieee":"T. A. Henzinger, P. Ho, and H. Wong Toi, “A user guide to HyTech,” in 1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems, Aarhus, Denmark, 1995, vol. 1019, pp. 41–71.","short":"T.A. Henzinger, P. Ho, H. Wong Toi, in:, 1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems, Springer, 1995, pp. 41–71.","ama":"Henzinger TA, Ho P, Wong Toi H. A user guide to HyTech. In: 1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems. Vol 1019. Springer; 1995:41-71. doi:10.1007/3-540-60630-0_3","mla":"Henzinger, Thomas A., et al. “A User Guide to HyTech.” 1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems, vol. 1019, Springer, 1995, pp. 41–71, doi:10.1007/3-540-60630-0_3.","chicago":"Henzinger, Thomas A, Pei Ho, and Howard Wong Toi. “A User Guide to HyTech.” In 1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems, 1019:41–71. Springer, 1995. https://doi.org/10.1007/3-540-60630-0_3."},"status":"public","language":[{"iso":"eng"}],"year":"1995","date_created":"2018-12-11T12:09:09Z","publist_id":"230","publication_status":"published","day":"01","author":[{"last_name":"Henzinger","orcid":"0000−0002−2985−7724","full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Ho","full_name":"Ho, Pei","first_name":"Pei"},{"full_name":"Wong Toi, Howard","first_name":"Howard","last_name":"Wong Toi"}],"page":"41 - 71","alternative_title":["LNCS"],"conference":{"name":"TACAS: Tools and Algorithms for the Construction and Analysis of Systems","start_date":"1995-05-19","end_date":"1995-05-20","location":"Aarhus, Denmark"},"month":"01","extern":"1","quality_controlled":"1","article_processing_charge":"No","publication":"1st International Workshop on Tools and Algorithms for the Construction and Analysis of Systems","doi":"10.1007/3-540-60630-0_3","date_updated":"2022-06-10T09:00:05Z","publisher":"Springer","oa_version":"None","volume":1019,"type":"conference","date_published":"1995-01-01T00:00:00Z"},{"year":"1995","language":[{"iso":"eng"}],"scopus_import":"1","publication_status":"published","publist_id":"231","day":"01","publication_identifier":{"issn":["0272-5428"],"isbn":["0818671831"]},"date_created":"2018-12-11T12:09:10Z","page":"453 - 462","conference":{"start_date":"1995-10-23","name":"FOCS: Foundations of Computer Science","location":"Milwaukee, WI, United States of America","end_date":"1995-10-25"},"author":[{"last_name":"Henzinger","orcid":"0000-0002-5008-6530","full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H"},{"first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","orcid":"0000−0002−2985−7724","last_name":"Henzinger"},{"last_name":"Kopke","first_name":"Peter","full_name":"Kopke, Peter"}],"extern":"1","quality_controlled":"1","month":"11","publication":"Proceedings of IEEE 36th Annual Foundations of Computer Science","_id":"4498","doi":"10.1109/SFCS.1995.492576","date_updated":"2023-02-09T08:43:48Z","publisher":"IEEE","title":"Computing simulations on finite and infinite graphs","abstract":[{"text":"We present algorithms for computing similarity relations of labeled graphs. Similarity relations have applications for the refinement and verification of reactive systems. For finite graphs, we present an O(mn) algorithm for computing the similarity relation of a graph with n vertices and m edges (assuming m⩾n). For effectively presented infinite graphs, we present a symbolic similarity-checking procedure that terminates if a finite similarity relation exists. We show that 2D rectangular automata, which model discrete reactive systems with continuous environments, define effectively presented infinite graphs with finite similarity relations. It follows that the refinement problem and the ∀CTL* model-checking problem are decidable for 2D rectangular automata","lang":"eng"}],"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Henzinger, Monika H, Thomas A Henzinger, and Peter Kopke. “Computing Simulations on Finite and Infinite Graphs.” In Proceedings of IEEE 36th Annual Foundations of Computer Science, 453–62. IEEE, 1995. https://doi.org/10.1109/SFCS.1995.492576.","mla":"Henzinger, Monika H., et al. “Computing Simulations on Finite and Infinite Graphs.” Proceedings of IEEE 36th Annual Foundations of Computer Science, IEEE, 1995, pp. 453–62, doi:10.1109/SFCS.1995.492576.","ama":"Henzinger MH, Henzinger TA, Kopke P. Computing simulations on finite and infinite graphs. In: Proceedings of IEEE 36th Annual Foundations of Computer Science. IEEE; 1995:453-462. doi:10.1109/SFCS.1995.492576","short":"M.H. Henzinger, T.A. Henzinger, P. Kopke, in:, Proceedings of IEEE 36th Annual Foundations of Computer Science, IEEE, 1995, pp. 453–462.","ieee":"M. H. Henzinger, T. A. Henzinger, and P. Kopke, “Computing simulations on finite and infinite graphs,” in Proceedings of IEEE 36th Annual Foundations of Computer Science, Milwaukee, WI, United States of America, 1995, pp. 453–462.","apa":"Henzinger, M. H., Henzinger, T. A., & Kopke, P. (1995). Computing simulations on finite and infinite graphs. In Proceedings of IEEE 36th Annual Foundations of Computer Science (pp. 453–462). Milwaukee, WI, United States of America: IEEE. https://doi.org/10.1109/SFCS.1995.492576","ista":"Henzinger MH, Henzinger TA, Kopke P. 1995. Computing simulations on finite and infinite graphs. Proceedings of IEEE 36th Annual Foundations of Computer Science. FOCS: Foundations of Computer Science, 453–462."},"oa_version":"None","status":"public","type":"conference","date_published":"1995-11-01T00:00:00Z"},{"extern":"1","quality_controlled":"1","month":"01","_id":"4499","publication":"Proceedings 16th IEEE Real-Time Systems Symposium","date_updated":"2022-06-10T09:33:19Z","publisher":"IEEE","doi":"10.1109/REAL.1995.495196 ","title":"HyTech: The next generation","abstract":[{"lang":"eng","text":"We describe a new implementation of HYTECH, a symbolic model checker for hybrid systems. Given a parametric description of an embedded system as a collection of communicating automata, HYTECH automatically computes the conditions on the parameters under which the system satisfies its safety and timing requirements. While the original HYTECH prototype was based on the symbolic algebra tool Mathematica, the new implementation is written in C++ and builds on geometric algorithms instead of formula manipulation. The new HYTECH offers a cleaner and more expressive input language, greater portability, superior performance (typically two to three orders of magnitude), and new features such as diagnostic error-trace generation. We illustrate the effectiveness of the new implementation by applying HYTECH to the automatic parametric analysis of the generic railroad crossing benchmark problem and to an active structure control algorithm"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","article_processing_charge":"No","main_file_link":[{"url":"https://ieeexplore.ieee.org/document/495196"}],"citation":{"ama":"Henzinger TA, Ho P, Wong Toi H. HyTech: The next generation. In: Proceedings 16th IEEE Real-Time Systems Symposium. IEEE; 1995:56-65. doi:10.1109/REAL.1995.495196 ","mla":"Henzinger, Thomas A., et al. “HyTech: The next Generation.” Proceedings 16th IEEE Real-Time Systems Symposium, IEEE, 1995, pp. 56–65, doi:10.1109/REAL.1995.495196 .","chicago":"Henzinger, Thomas A, Pei Ho, and Howard Wong Toi. “HyTech: The next Generation.” In Proceedings 16th IEEE Real-Time Systems Symposium, 56–65. IEEE, 1995. https://doi.org/10.1109/REAL.1995.495196 .","ista":"Henzinger TA, Ho P, Wong Toi H. 1995. HyTech: The next generation. Proceedings 16th IEEE Real-Time Systems Symposium. RTSS: Real-Time Systems Symposium, 56–65.","apa":"Henzinger, T. A., Ho, P., & Wong Toi, H. (1995). HyTech: The next generation. In Proceedings 16th IEEE Real-Time Systems Symposium (pp. 56–65). Pisa, Italy: IEEE. https://doi.org/10.1109/REAL.1995.495196 ","ieee":"T. A. Henzinger, P. Ho, and H. Wong Toi, “HyTech: The next generation,” in Proceedings 16th IEEE Real-Time Systems Symposium, Pisa, Italy, 1995, pp. 56–65.","short":"T.A. Henzinger, P. Ho, H. Wong Toi, in:, Proceedings 16th IEEE Real-Time Systems Symposium, IEEE, 1995, pp. 56–65."},"oa_version":"None","status":"public","type":"conference","date_published":"1995-01-01T00:00:00Z","year":"1995","language":[{"iso":"eng"}],"scopus_import":"1","publist_id":"232","publication_status":"published","day":"01","date_created":"2018-12-11T12:09:10Z","publication_identifier":{"isbn":["0818673370"]},"page":"56 - 65","conference":{"start_date":"1995-12-05","name":"RTSS: Real-Time Systems Symposium","location":"Pisa, Italy","end_date":"1995-12-07"},"author":[{"full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","orcid":"0000−0002−2985−7724","last_name":"Henzinger"},{"first_name":"Pei","full_name":"Ho, Pei","last_name":"Ho"},{"first_name":"Howard","full_name":"Wong Toi, Howard","last_name":"Wong Toi"}]},{"status":"public","intvolume":" 944","citation":{"short":"T.A. Henzinger, P. Kopke, H. Wong Toi, in:, 22nd International Colloquium on Automata, Languages and Programming , Springer, 1995, pp. 417–428.","ieee":"T. A. Henzinger, P. Kopke, and H. Wong Toi, “The expressive power of clocks,” in 22nd International Colloquium on Automata, Languages and Programming , Szeged, Hungary, 1995, vol. 944, pp. 417–428.","apa":"Henzinger, T. A., Kopke, P., & Wong Toi, H. (1995). The expressive power of clocks. In 22nd International Colloquium on Automata, Languages and Programming (Vol. 944, pp. 417–428). Szeged, Hungary: Springer. https://doi.org/10.1007/3-540-60084-1_93","ista":"Henzinger TA, Kopke P, Wong Toi H. 1995. The expressive power of clocks. 22nd International Colloquium on Automata, Languages and Programming . ICALP: Automata, Languages and Programming, LNCS, vol. 944, 417–428.","chicago":"Henzinger, Thomas A, Peter Kopke, and Howard Wong Toi. “The Expressive Power of Clocks.” In 22nd International Colloquium on Automata, Languages and Programming , 944:417–28. Springer, 1995. https://doi.org/10.1007/3-540-60084-1_93.","mla":"Henzinger, Thomas A., et al. “The Expressive Power of Clocks.” 22nd International Colloquium on Automata, Languages and Programming , vol. 944, Springer, 1995, pp. 417–28, doi:10.1007/3-540-60084-1_93.","ama":"Henzinger TA, Kopke P, Wong Toi H. The expressive power of clocks. In: 22nd International Colloquium on Automata, Languages and Programming . Vol 944. Springer; 1995:417-428. doi:10.1007/3-540-60084-1_93"},"main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/3-540-60084-1_93"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","abstract":[{"lang":"eng","text":"We investigate the expressive power of timing restrictions on labeled transition systems. In particular, we show how constraints on clock variables together with a uniform liveness condition—the divergence of time—can express Büchi, Muller, Streett, Rabin, and weak and strong fairness conditions on a given labeled transition system. We then consider the effect, on both timed and time-abstract expressiveness, of varying the following parameters: time domain (discrete or dense), number of clocks, number of states, and size of constants used in timing restrictions."}],"title":"The expressive power of clocks","_id":"4500","acknowledgement":"This research was supported in part by the National Science Foundation under grant CCR-9200794, by the United States Air Force Office of Scientific Research under contract F49620-93-1-0056, by the Defense Advanced Research Projects Agency under grant NAG2-892, and by the U.S. Army Research Office through the Mathematical Sciences Institute of Cornell University, Contract Number DAAL03-91-C-0027.\r\nThe full version of this paper is available from the Department of Computer Science, Cornell University, Ithaca, NY 14853, as Technical Report TR95-1496.","publication_identifier":{"isbn":["9783540600848"]},"type":"conference","date_published":"1995-01-01T00:00:00Z","volume":944,"oa_version":"None","article_processing_charge":"No","doi":"10.1007/3-540-60084-1_93","date_updated":"2022-06-09T14:58:31Z","publisher":"Springer","publication":"22nd International Colloquium on Automata, Languages and Programming ","month":"01","quality_controlled":"1","extern":"1","author":[{"full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","orcid":"0000−0002−2985−7724","last_name":"Henzinger"},{"last_name":"Kopke","full_name":"Kopke, Peter","first_name":"Peter"},{"first_name":"Howard","full_name":"Wong Toi, Howard","last_name":"Wong Toi"}],"conference":{"end_date":"1995-07-14","location":"Szeged, Hungary","name":"ICALP: Automata, Languages and Programming","start_date":"1995-07-10"},"alternative_title":["LNCS"],"page":"417 - 428","date_created":"2018-12-11T12:09:10Z","day":"01","publication_status":"published","publist_id":"229","year":"1995","language":[{"iso":"eng"}]},{"year":"1995","language":[{"iso":"eng"}],"page":"373 - 382","conference":{"name":"STOC: Symposium on the Theory of Computing","start_date":"1995-05-29","end_date":"1995-06-01","location":"Las Vegas, NV, United States of America"},"author":[{"full_name":"Henzinger, Thomas A","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger","orcid":"0000−0002−2985−7724"},{"last_name":"Kopke","full_name":"Kopke, Peter","first_name":"Peter"},{"first_name":"Anuj","full_name":"Puri, Anuj","last_name":"Puri"},{"last_name":"Varaiya","full_name":"Varaiya, P.","first_name":"P."}],"publist_id":"228","publication_status":"published","day":"01","date_created":"2018-12-11T12:09:11Z","publication_identifier":{"isbn":["9780897917186"]},"_id":"4502","publication":"Proceedings of the 27th annual ACM symposium on Theory of computing","publisher":"ACM","doi":"10.1145/225058.225162","date_updated":"2022-06-09T14:40:29Z","title":"What's decidable about hybrid automata?","abstract":[{"text":"Hybrid automata model systems with both digital and analog components, such as embedded control programs. Many verification tasks for such programs can be expressed as reachability problems for hybrid automata. By improving on previous decidability and undecidability results, we identify the precise boundary between decidability and undecidability of the reachability problem for hybrid automata.\r\n\r\nOn the positive side, we give an (optimal) PSPACE reachability algorithm for the case of initialized rectangular automata, where all analog variables follow trajectories within piecewise-linear envelopes and are reinitialized whenever the envelope changes. Our algorithm is based on the construction of a timed automaton that contains all reachability information about a given initialized rectangular automaton. The translation has practical significance for verification, because it guarantees the termination of symbolic procedures for the reachability analysis of initialized rectangular automata. The translation also preserves the omega-languages of initialized rectangular automata with bounded nondeterminism.\r\n\r\nOn the negative side, we show that several slight generalizations of initialized rectangular automata lead to an undecidable reachability problem. In particular, we prove that the reachability problem is undecidable for timed automata augmented with a single stopwatch.","lang":"eng"}],"article_processing_charge":"No","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","extern":"1","acknowledgement":"We thank Howard Wong-Toi for a careful reading.\r\n","quality_controlled":"1","oa":1,"month":"01","status":"public","date_published":"1995-01-01T00:00:00Z","type":"conference","main_file_link":[{"url":"https://dl.acm.org/doi/10.1145/225058.225162","open_access":"1"}],"citation":{"ama":"Henzinger TA, Kopke P, Puri A, Varaiya P. What’s decidable about hybrid automata? In: Proceedings of the 27th Annual ACM Symposium on Theory of Computing. ACM; 1995:373-382. doi:10.1145/225058.225162","mla":"Henzinger, Thomas A., et al. “What’s Decidable about Hybrid Automata?” Proceedings of the 27th Annual ACM Symposium on Theory of Computing, ACM, 1995, pp. 373–82, doi:10.1145/225058.225162.","chicago":"Henzinger, Thomas A, Peter Kopke, Anuj Puri, and P. Varaiya. “What’s Decidable about Hybrid Automata?” In Proceedings of the 27th Annual ACM Symposium on Theory of Computing, 373–82. ACM, 1995. https://doi.org/10.1145/225058.225162.","ista":"Henzinger TA, Kopke P, Puri A, Varaiya P. 1995. What’s decidable about hybrid automata? Proceedings of the 27th annual ACM symposium on Theory of computing. STOC: Symposium on the Theory of Computing, 373–382.","apa":"Henzinger, T. A., Kopke, P., Puri, A., & Varaiya, P. (1995). What’s decidable about hybrid automata? In Proceedings of the 27th annual ACM symposium on Theory of computing (pp. 373–382). Las Vegas, NV, United States of America: ACM. https://doi.org/10.1145/225058.225162","short":"T.A. Henzinger, P. Kopke, A. Puri, P. Varaiya, in:, Proceedings of the 27th Annual ACM Symposium on Theory of Computing, ACM, 1995, pp. 373–382.","ieee":"T. A. Henzinger, P. Kopke, A. Puri, and P. Varaiya, “What’s decidable about hybrid automata?,” in Proceedings of the 27th annual ACM symposium on Theory of computing, Las Vegas, NV, United States of America, 1995, pp. 373–382."},"oa_version":"Published Version"}]