{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T17:50:06Z","timestamp":1770745806618,"version":"3.49.0"},"reference-count":41,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[1987,1,1]],"date-time":"1987-01-01T00:00:00Z","timestamp":536457600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":9694,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Theoretical Computer Science"],"published-print":{"date-parts":[[1987]]},"DOI":"10.1016\/0304-3975(87)90011-9","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:48:55Z","timestamp":1027655335000},"page":"283-309","source":"Crossref","is-referenced-by-count":98,"title":["Analytic models and ambiguity of context-free languages"],"prefix":"10.1016","volume":"49","author":[{"given":"Philippe","family":"Flajolet","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0304-3975(87)90011-9_BIB1","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1051\/ita\/1979130403631","article-title":"Quelques probl\u00e8mes ouverts en th\u00e9orie des langages alg\u00e9briques","volume":"13","author":"Autebert","year":"1979","journal-title":"RAIRO Inform. Th\u00e9or."},{"key":"10.1016\/0304-3975(87)90011-9_BIB2","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/S0019-9958(81)90634-3","article-title":"The characterization of nonexpansive grammars by rational power series","volume":"48","author":"Baron","year":"1981","journal-title":"Inform. and Control"},{"key":"10.1016\/0304-3975(87)90011-9_BIB3","series-title":"LITP Rept. 83-30","article-title":"Formal languages and Bernoulli processes","author":"Beauquier","year":"1983"},{"key":"10.1016\/0304-3975(87)90011-9_BIB4","first-page":"80","article-title":"Lower bounds for algebraic computation trees","author":"Ben-Or","journal-title":"Proc. 15th ACM Symp. on Theory of Computing"},{"key":"10.1016\/0304-3975(87)90011-9_BIB5","series-title":"Proc. 1st ICALP Colloquium","first-page":"345","article-title":"Sur la densit\u00e9 asymptotique des langages formels","author":"Berstel","year":"1972"},{"key":"10.1016\/0304-3975(87)90011-9_BIB6","series-title":"Th\u00e8se","article-title":"Contribution \u00e0 l'\u00e9tude des propri\u00e9t\u00e9s arithm\u00e9tiques des langages formels","author":"Berstel","year":"1972"},{"key":"10.1016\/0304-3975(87)90011-9_BIB7","author":"Bertoni","year":"1985","journal-title":"Algebricity of the generating function for context-free languages"},{"key":"10.1016\/0304-3975(87)90011-9_BIB8","series-title":"Arithmetical Functions","author":"Chandrasekharan","year":"1970"},{"key":"10.1016\/0304-3975(87)90011-9_BIB9","series-title":"Computer Programming and Formal Systems","first-page":"118","article-title":"The algebraic theory of context-free languages","author":"Chomsky","year":"1963"},{"key":"10.1016\/0304-3975(87)90011-9_BIB10","first-page":"267","article-title":"Calcul pratique des coefficients de Taylor d'une fonction alg\u00e9brique","volume":"10","author":"Comtet","year":"1964","journal-title":"Enseignement Math."},{"key":"10.1016\/0304-3975(87)90011-9_BIB11","series-title":"Advanced Combinatorics","author":"Comtet","year":"1974"},{"key":"10.1016\/0304-3975(87)90011-9_BIB12","series-title":"Proc. 1st ICALP Colloquium","first-page":"377","article-title":"Un langage non ambigu dont le carr\u00e9 est d'ambiguit\u00e9 inherente born\u00e9e","author":"Crestin","year":"1972"},{"key":"10.1016\/0304-3975(87)90011-9_BIB13","series-title":"Integral Transforms and Their Application","author":"Davies","year":"1978"},{"key":"10.1016\/0304-3975(87)90011-9_BIB14","series-title":"Calcul Infinit\u00e9simal","author":"Dieudonn\u00e9","year":"1968"},{"key":"10.1016\/0304-3975(87)90011-9_BIB15","series-title":"An Introduction to Probability Theory and its Application","author":"Feller","year":"1950"},{"key":"10.1016\/0304-3975(87)90011-9_BIB16","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/0022-0000(82)90004-6","article-title":"The expected height of binary trees and other simple trees","volume":"25","author":"Flajolet","year":"1982","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/0304-3975(87)90011-9_BIB17","series-title":"Combinatorics on Words","first-page":"241","article-title":"Some uses of the Mellin integral transform in the analysis of algorithms","author":"Flajolet","year":"1985"},{"key":"10.1016\/0304-3975(87)90011-9_BIB18","series-title":"Transcendental and Algebraic Numbers","author":"Gelfond","year":"1960"},{"key":"10.1016\/0304-3975(87)90011-9_BIB19","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0097-3165(81)90005-4","article-title":"Strings overlap, pattern-matching and non-transitive games","volume":"30","author":"Guibas","year":"1980","journal-title":"J. Comb. Theory. Ser. A"},{"key":"10.1016\/0304-3975(87)90011-9_BIB20","series-title":"Ramanujan, Twelve Lectures Suggested by his Life and Work","author":"Hardy","year":"1940"},{"key":"10.1016\/0304-3975(87)90011-9_BIB21","series-title":"Introduction to Formal Language Theory","author":"Harrison","year":"1978"},{"key":"10.1016\/0304-3975(87)90011-9_BIB22","series-title":"Applied and Computational Complex Analysis","author":"Henrici","year":"1977"},{"key":"10.1016\/0304-3975(87)90011-9_BIB23","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1137\/0212044","article-title":"Uniform random generation of strings in a context-free language","volume":"12","author":"Hickey","year":"1983","journal-title":"SIAM J. Comput."},{"key":"10.1016\/0304-3975(87)90011-9_BIB24","series-title":"Proc. STACS'86","first-page":"171","article-title":"On sparseness, ambiguity and other decision problems for acceptors and transducer","volume":"210","author":"Ibarra","year":"1986"},{"key":"10.1016\/0304-3975(87)90011-9_BIB25","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0012-365X(82)90123-6","article-title":"On the number of words in the language {w \u2208 \u03a3\u2217\u00a6w = wR}2","volume":"40","author":"Kemp","year":"1980","journal-title":"Discrete Math."},{"key":"10.1016\/0304-3975(87)90011-9_BIB26","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/BF00264258","article-title":"A note on the density of inherently ambiguous context-free languages","volume":"14","author":"Kemp","year":"1980","journal-title":"Acta Inform."},{"key":"10.1016\/0304-3975(87)90011-9_BIB27","series-title":"Elementary Algebraic Geometry","author":"Kendig","year":"1977"},{"key":"10.1016\/0304-3975(87)90011-9_BIB28","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/S1385-7258(78)80014-6","article-title":"The average time for carry propagation","volume":"40","author":"Knuth","year":"1978","journal-title":"Nederl. Akad. Wetensch. Indag. Math."},{"key":"10.1016\/0304-3975(87)90011-9_BIB29","author":"Kornai","year":"1985","journal-title":"Quantitative comparison of formal languages"},{"key":"10.1016\/0304-3975(87)90011-9_BIB30","series-title":"Semirings, Automata, Languages","author":"Kuich","year":"1986"},{"key":"10.1016\/0304-3975(87)90011-9_BIB31","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/S0019-9958(76)90128-5","article-title":"The structure generating function of some families of languages","volume":"32","author":"Kuich","year":"1976","journal-title":"Inform. and Control"},{"key":"10.1016\/0304-3975(87)90011-9_BIB32","doi-asserted-by":"crossref","first-page":"997","DOI":"10.4153\/CJM-1978-085-0","article-title":"On the altitude of nodes in random trees","volume":"30","author":"Meir","year":"1978","journal-title":"Canad. J. Math."},{"key":"10.1016\/0304-3975(87)90011-9_BIB33","first-page":"61","article-title":"Computational complexity in algebraic function fields","author":"Pippenger","year":"1979","journal-title":"Proc. 20th IEEE Symp. FOCS"},{"key":"10.1016\/0304-3975(87)90011-9_BIB34","series-title":"Real and Complex Analysis","author":"Rudin","year":"1974"},{"key":"10.1016\/0304-3975(87)90011-9_BIB35","series-title":"Automata Theoretic Aspects of Formal Power Series","author":"Salomaa","year":"1978"},{"key":"10.1016\/0304-3975(87)90011-9_BIB36","series-title":"Einfuehrung in die Transzendenten Zahlen","author":"Schneider","year":"1957"},{"key":"10.1016\/0304-3975(87)90011-9_BIB37","series-title":"Elements of the Theory of Algebraic Curves","author":"Seidenberg","year":"1965"},{"key":"10.1016\/0304-3975(87)90011-9_BIB38","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/S0019-9958(71)90455-4","article-title":"Some inherently ambiguous context-free languages","volume":"18","author":"Shamir","year":"1971","journal-title":"Inform. and Control"},{"key":"10.1016\/0304-3975(87)90011-9_BIB39","first-page":"268","article-title":"Lower bounds from complex function theory","author":"Shamos","year":"1976","journal-title":"Proc. 17th IEEE Symp. FOCS"},{"key":"10.1016\/0304-3975(87)90011-9_BIB40","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/S0195-6698(80)80051-5","article-title":"Differentiably finite power series","volume":"1","author":"Stanley","year":"1980","journal-title":"European J. Combin."},{"key":"10.1016\/0304-3975(87)90011-9_BIB41","series-title":"A Course in Modern Analysis","author":"Whittaker","year":"1927"}],"container-title":["Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0304397587900119?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0304397587900119?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T03:51:36Z","timestamp":1555127496000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0304397587900119"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987]]},"references-count":41,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[1987]]}},"alternative-id":["0304397587900119"],"URL":"https:\/\/doi.org\/10.1016\/0304-3975(87)90011-9","relation":{},"ISSN":["0304-3975"],"issn-type":[{"value":"0304-3975","type":"print"}],"subject":[],"published":{"date-parts":[[1987]]}}}