{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T14:54:31Z","timestamp":1676904871838},"reference-count":25,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1995,11,1]],"date-time":"1995-11-01T00:00:00Z","timestamp":815184000000},"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":6468,"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":[[1995,11]]},"DOI":"10.1016\/0304-3975(95)00045-x","type":"journal-article","created":{"date-parts":[[2003,5,1]],"date-time":"2003-05-01T01:37:28Z","timestamp":1051753048000},"page":"3-27","source":"Crossref","is-referenced-by-count":15,"title":["Duality and the completeness of the modal \u03bc-calculus"],"prefix":"10.1016","volume":"151","author":[{"given":"Simon","family":"Ambler","sequence":"first","affiliation":[]},{"given":"Marta","family":"Kwiatkowska","sequence":"additional","affiliation":[]},{"given":"Nicholas","family":"Measor","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0304-3975(95)00045-X_BIB1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0168-0072(91)90065-T","article-title":"Domain theory in logical form","volume":"51","author":"Abramsky","year":"1991","journal-title":"Ann. Pure Appl. Logic"},{"key":"10.1016\/0304-3975(95)00045-X_BIB2","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/0304-3975(95)00048-2","article-title":"Duality beyond sober spaces: topological spaces and observation frames","volume":"151","author":"Bonsangue","year":"1995","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/0304-3975(95)00045-X_BIB3","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1146\/annurev.cs.02.060187.001413","article-title":"Research on automatic verification of finite-state concurrent systems","volume":"2","author":"Clarke","year":"1987","journal-title":"Ann. Rev. Comput. Sci."},{"key":"10.1016\/0304-3975(95)00045-X_BIB4","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1111\/j.1755-2567.1974.tb00076.x","article-title":"An incomplete logic containing S4","volume":"40","author":"Fine","year":"1974","journal-title":"Theoria"},{"key":"10.1016\/0304-3975(95)00045-X_BIB5","series-title":"Fairness","author":"Francez","year":"1986"},{"key":"10.1016\/0304-3975(95)00045-X_BIB6","article-title":"Investigations into logical deduction","author":"Gentzen","year":"1969"},{"key":"10.1016\/0304-3975(95)00045-X_BIB7_1","first-page":"41","article-title":"Metamathematics of modal logic","volume":"6","author":"Goldblatt","year":"1976","journal-title":"Rep. Math. Logic"},{"key":"10.1016\/0304-3975(95)00045-X_BIB7_2","first-page":"21","article-title":"Metamathematics of modal logic","volume":"7","author":"Goldblatt","year":"1976","journal-title":"Rep. Math. Logic"},{"key":"10.1016\/0304-3975(95)00045-X_BIB8","series-title":"Algebraic Logic","author":"Halmos","year":"1962"},{"key":"10.1016\/0304-3975(95)00045-X_BIB9","series-title":"A Companion to Modal Logic","author":"Hughes","year":"1984"},{"key":"10.1016\/0304-3975(95)00045-X_BIB10","series-title":"Stone Spaces","author":"Johnstone","year":"1982"},{"key":"10.1016\/0304-3975(95)00045-X_BIB11","series-title":"Logic of Programs, Proceedings","first-page":"1","article-title":"On the duality of dynamic algebras and Kripke models","author":"Kozen","year":"1981"},{"key":"10.1016\/0304-3975(95)00045-X_BIB12","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/0304-3975(82)90125-6","article-title":"Results on the propositional \u03bc-calculus","volume":"27","author":"Kozen","year":"1983","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/0304-3975(95)00045-X_BIB13","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/BF00370554","article-title":"A finite model theorem for the propositional \u03bc-calculus","volume":"47","author":"Kozen","year":"1988","journal-title":"Studia Logica"},{"key":"10.1016\/0304-3975(95)00045-X_BIB14","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/0950-5849(89)90159-6","article-title":"Survey of fairness notions","volume":"31","author":"Kwiatkowska","year":"1989","journal-title":"Inform. Software Technol."},{"key":"10.1016\/0304-3975(95)00045-X_BIB15","doi-asserted-by":"crossref","DOI":"10.1016\/0304-3975(90)90038-J","article-title":"Proof systems for satisfiability in Hennessy-Milner logic with recursion","volume":"72","author":"Larsen","year":"1990","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/0304-3975(95)00045-X_BIB16","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/0020-0190(82)90065-5","article-title":"Fixed point theorems and semantics: A folk tale","volume":"14","author":"Lassez","year":"1982","journal-title":"Inform. Process. Lett."},{"key":"10.1016\/0304-3975(95)00045-X_BIB17","series-title":"Automata, Languages and Programming","article-title":"On fixed-point clones","volume":"Vol. 226","author":"Niwinski","year":"1986"},{"key":"10.1016\/0304-3975(95)00045-X_BIB18","series-title":"Abstract Software Specifications","first-page":"504","article-title":"On the semantics of fair parallelism","volume":"Vol. 86","author":"Park","year":"1980"},{"key":"10.1016\/0304-3975(95)00045-X_BIB19","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/0168-0072(88)90021-8","article-title":"Topology and duality in modal logic","volume":"37","author":"Sambin","year":"1988","journal-title":"Ann. Pure Appl. Logic"},{"key":"10.1016\/0304-3975(95)00045-X_BIB20","series-title":"Boolean algebras","author":"Sikorski","year":"1969"},{"key":"10.1016\/0304-3975(95)00045-X_BIB21","series-title":"Proc. 10th ICALP","first-page":"662","article-title":"Power domains and predicate transformers","volume":"Vol. 154","author":"Smyth","year":"1983"},{"key":"10.1016\/0304-3975(95)00045-X_BIB22","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1111\/j.1755-2567.1974.tb00077.x","article-title":"An incompleteness theorem in modal logic","volume":"40","author":"Thomason","year":"1974","journal-title":"Theoria"},{"key":"10.1016\/0304-3975(95)00045-X_BIB23","series-title":"LICS'93","article-title":"On the completeness of \u03bc-calculus","author":"Walukiewicz","year":"1993"},{"key":"10.1016\/0304-3975(95)00045-X_BIB24","volume":"Vol. 5","author":"Vickers","year":"1989"}],"container-title":["Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:030439759500045X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:030439759500045X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,16]],"date-time":"2019-04-16T12:51:02Z","timestamp":1555419062000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/030439759500045X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,11]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1995,11]]}},"alternative-id":["030439759500045X"],"URL":"https:\/\/doi.org\/10.1016\/0304-3975(95)00045-x","relation":{},"ISSN":["0304-3975"],"issn-type":[{"value":"0304-3975","type":"print"}],"subject":[],"published":{"date-parts":[[1995,11]]}}}