{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T03:24:46Z","timestamp":1767929086024,"version":"3.49.0"},"reference-count":20,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2000,7,1]],"date-time":"2000-07-01T00:00:00Z","timestamp":962409600000},"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":4764,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Annals of Pure and Applied Logic"],"published-print":{"date-parts":[[2000,7]]},"DOI":"10.1016\/s0168-0072(00)00012-9","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T09:59:59Z","timestamp":1027591199000},"page":"189-218","source":"Crossref","is-referenced-by-count":74,"title":["Wellfounded trees in categories"],"prefix":"10.1016","volume":"104","author":[{"given":"Ieke","family":"Moerdijk","sequence":"first","affiliation":[]},{"given":"Erik","family":"Palmgren","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0168-0072(00)00012-9_BIB1","doi-asserted-by":"crossref","first-page":"10","DOI":"10.2307\/2273784","article-title":"Fibered categories and the foundations of naive category theory","volume":"50","author":"B\u00e9nabou","year":"1985","journal-title":"J. Symbolic Logic"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB2","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/s001530050003","article-title":"Intuitionistic choice and classical logic","volume":"39","author":"Coquand","year":"2000","journal-title":"Arch. Math. Logic"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB3","first-page":"51","article-title":"Substitution up to isomorphism","volume":"19","author":"Curien","year":"1993","journal-title":"Fund. Inform."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB4","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/S0304-3975(96)00145-4","article-title":"Representing inductively defined sets by well-orderings in Martin-L\u00f6f's type theory","volume":"176","author":"Dybjer","year":"1997","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB5","series-title":"Categories, Allegories","author":"Freyd","year":"1990"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB6","doi-asserted-by":"crossref","first-page":"670","DOI":"10.2307\/2273459","article-title":"Forcing in intuitionistic systems without power-set","volume":"48","author":"Grayson","year":"1983","journal-title":"J. Symbolic Logic"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB7","series-title":"Proc. Computer Science Logic \u201994","article-title":"On the interpretation of type theory in locally cartesian closed categories","volume":"Vol. 933","author":"Hofmann","year":"1995"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB8","series-title":"Extensional Constructs in Intensional Type Theory","author":"Hofmann","year":"1997"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB9","series-title":"Categorical Logic and Type Theory","author":"Jacobs","year":"1998"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB10","series-title":"Topos Theory","author":"Johnstone","year":"1977"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB11","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/BF01110627","article-title":"A fixpoint theorem for complete categories","volume":"103","author":"Lambek","year":"1968","journal-title":"Math. Z."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB12","series-title":"Introduction to Higher Order Catgeorical Logic","author":"Lambek","year":"1986"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB13","series-title":"Sheaves in Geometry and Logic","author":"Mac Lane","year":"1992"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB14","unstructured":"M.E. Maietti, The type theory of categorical universes, Ph.D. Thesis. Padova 1998."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB15","unstructured":"P. Martin-L\u00f6f, Intuitionistic Type Theory, Bibliopolis, Napels, 1984."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB16","unstructured":"I. Moerdijk, E. Palmgren, Type theories, toposes and constructive set theory: predicative aspects of AST. Uppsala Universtiy, Department of Mathematics, Report 2000:2."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB17","unstructured":"I. Moerdijk, E. Palmgren, Intensional and extensional types in categories, in preparation."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB18","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1017\/S0305004100061284","article-title":"Locally cartesian closed categories and type theory","volume":"95","author":"Seely","year":"1984","journal-title":"Math. Proc. Cambridge Philos. Soc."},{"key":"10.1016\/S0168-0072(00)00012-9_BIB19","first-page":"189","article-title":"An interpretation of Kleene's slash in type theory","author":"Smith","year":"1993"},{"key":"10.1016\/S0168-0072(00)00012-9_BIB20","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/0022-4049(74)90014-0","article-title":"Artin glueing","volume":"4","author":"Wraith","year":"1974","journal-title":"J. Pure Appl. Algebra"}],"container-title":["Annals of Pure and Applied Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0168007200000129?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0168007200000129?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T17:21:43Z","timestamp":1556472103000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0168007200000129"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,7]]},"references-count":20,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2000,7]]}},"alternative-id":["S0168007200000129"],"URL":"https:\/\/doi.org\/10.1016\/s0168-0072(00)00012-9","relation":{},"ISSN":["0168-0072"],"issn-type":[{"value":"0168-0072","type":"print"}],"subject":[],"published":{"date-parts":[[2000,7]]}}}