{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T00:24:28Z","timestamp":1761611068720},"reference-count":39,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1998,3,1]],"date-time":"1998-03-01T00:00:00Z","timestamp":888710400000},"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":5617,"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":[[1998,3]]},"DOI":"10.1016\/s0304-3975(97)00158-8","type":"journal-article","created":{"date-parts":[[2003,5,13]],"date-time":"2003-05-13T04:04:58Z","timestamp":1052798698000},"page":"61-89","source":"Crossref","is-referenced-by-count":18,"title":["Equational properties of iteration in algebraically complete categories"],"prefix":"10.1016","volume":"195","author":[{"given":"Z.","family":"\u00c9sik","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Labella","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0304-3975(97)00158-8_BIB1","first-page":"589","article-title":"Free algebras and automata realizations in the language of category theory","volume":"15","author":"Ad\u00e1mek","year":"1974","journal-title":"Comm. Math. Unive. Carolinae"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB2","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0022-0000(79)90026-6","article-title":"Least fixed point of a functor","volume":"19","author":"Ad\u00e1mek","year":"1979","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB3","series-title":"Automata and Algebras in Categories","author":"Ad\u00e1mek","year":"1990"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB4","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0022-0000(89)90027-5","article-title":"Solving reflexive domain equations in a category of complete metric spaces","volume":"35","author":"America","year":"1989","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB5","series-title":"Mathematical Foundations of Computer Science '76","first-page":"212","article-title":"Free dynamics and algebraic semantics","volume":"vol. 56","author":"Arbib","year":"1977"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB6","series-title":"Categories, Types, and Structures, Foundations of Computing Series","author":"Asperti","year":"1991"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB7","series-title":"Proc. Conf. Category Theory and Computer Science '95","first-page":"159","article-title":"Categorical fixed point calculus","volume":"vol. 953","author":"Backhouse","year":"1995"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB8","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1137\/0209002","article-title":"Solutions of the iteration equation and extension of the scalar iteration operation","volume":"9","author":"Bloom","year":"1980","journal-title":"SIAM J. Comput."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB9","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1137\/0209039","article-title":"Vector iteration in pointed iterative theories","volume":"9","author":"Bloom","year":"1980","journal-title":"SIAM J. Comput."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB10","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/0304-3975(89)90012-1","article-title":"Equational logic of circular data type specification","volume":"63","author":"Bloom","year":"1989","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB11","article-title":"Iteration theories: the equational logic of iterative processes","author":"Bloom","year":"1993"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB12","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1142\/S0129054195000081","article-title":"Some equational laws of initiality in 2CCC's","volume":"6","author":"Bloom","year":"1995","journal-title":"Int. J. Foundations of Computer Science"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0304-3975(95)00010-0","article-title":"Fixed-point operations on CCC's","volume":"155","author":"Bloom","year":"1996","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB14","unstructured":"S.L. Bloom, Z. \u00c9sik, A. Labella, E.G. Manes, Iteration 2-theories, to appear."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB15","volume":"vol. 50","author":"Borceux","year":"1994"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB16","series-title":"Regular Algebra and Finite Machines","author":"Conway","year":"1971"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB17","series-title":"Logic Colloquium","article-title":"Monadic computation and iterative algebraic theories","volume":"vol. 80","author":"Elgot","year":"1975"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB18","first-page":"183","article-title":"Identities in iterative and rational algebraic theories","volume":"14","author":"\u00c9sik","year":"1980","journal-title":"Comput. Linguistics Comput. Languages"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB19","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/0022-0000(88)90020-7","article-title":"The independence of the equational axioms of iteration theories","volume":"36","author":"\u00c9sik","year":"1988","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB20","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/S0304-3975(96)00240-X","article-title":"Completeness of Park Induction","volume":"177","author":"\u00c9sik","year":"1997","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB21","unstructured":"Z. \u00c9sik, Group axioms for iteration, to appear."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB22","series-title":"Proc. Conf. on Category Theory","first-page":"95","article-title":"Algebraically complete categories","volume":"vol. 1488","author":"Freyd","year":"1991"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB23","series-title":"Applications of Categories in Computer Science","first-page":"95","article-title":"Remarks on algebraically compact categories","volume":"vol. 77","author":"Freyd","year":"1992"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB24","first-page":"76","article-title":"Review of the elements of 2-categories","volume":"vol. 420","author":"Kelly","year":"1974"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB25","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1006\/inco.1994.1037","article-title":"A completeness theorem for Kleene algebras and the algebra of regular events","volume":"110","author":"Kozen","year":"1994","journal-title":"Inform, and Comput."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB26","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/0304-3975(91)90395-I","article-title":"Complete systems of B-rational identities","volume":"89","author":"Krob","year":"1991","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB27","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/BF01110627","article-title":"A flxpoint theorem for complete categories","volume":"103","author":"Lambek","year":"1968","journal-title":"Math. Z."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB28","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-9839-7","article-title":"Categories for the Working Mathematician","author":"Mac Lane","year":"1971"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB29","series-title":"Semigroups and Combinatorial Applications","author":"Lallement","year":"1979"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB30","first-page":"869","article-title":"Functorial semantics of algebraic theories","volume":"50","author":"Lawvere","year":"1963"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB31","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/BF01752392","article-title":"Algebraic specification of data types: a synthetic approach","volume":"14","author":"Lehmann","year":"1981","journal-title":"Math. Systems Theory"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB32","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0890-5401(91)90005-M","article-title":"Towards a foundation for semantics in complete metric spaces","volume":"90","author":"Majster-Cederbaum","year":"1991","journal-title":"Inform. and Comput."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB33","article-title":"A Calculus for Communicating Systems","volume":"vol. 92","author":"Milner","year":"1980"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB34","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0304-3975(90)90154-A","article-title":"Categorical fixed point semantics","volume":"70","author":"Mulry","year":"1990","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB35","article-title":"Domains","author":"Plotkin","year":"1983"},{"key":"10.1016\/S0304-3975(97)00158-8_BIB36","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0304-3975(93)90112-7","article-title":"A characterisation of the least fixed point operator by dinaturality","volume":"118","author":"Simpson","year":"1993","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB37","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1137\/0211062","article-title":"The category theoretic solution of recursive domain equations","volume":"11","author":"Smyth","year":"1982","journal-title":"SIAM J. Comput."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB38","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/0304-3975(79)90053-7","article-title":"Fixed point constructions in order enriched categories","volume":"8","author":"Wand","year":"1979","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0304-3975(97)00158-8_BIB39","series-title":"Proc. 17th IEEE Symp. on Foundations of Computing","first-page":"147","article-title":"Rational algebraic theories and fixed-point solutions","author":"Wright","year":"1976"}],"container-title":["Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397597001588?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397597001588?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,16]],"date-time":"2019-04-16T13:00:20Z","timestamp":1555419620000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0304397597001588"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,3]]},"references-count":39,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1998,3]]}},"alternative-id":["S0304397597001588"],"URL":"https:\/\/doi.org\/10.1016\/s0304-3975(97)00158-8","relation":{},"ISSN":["0304-3975"],"issn-type":[{"value":"0304-3975","type":"print"}],"subject":[],"published":{"date-parts":[[1998,3]]}}}