{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T20:30:26Z","timestamp":1761597026146},"reference-count":11,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3603,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Sheaf semantics is developed within a constructive and predicative framework, Martin\u2010L\u00f6f's type theory. We prove strong completeness of many sorted, first order intuitionistic logic with respect to this semantics, by using sites of provably functional relations.<\/jats:p>","DOI":"10.1002\/malq.19970430304","type":"journal-article","created":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T08:49:34Z","timestamp":1180514974000},"page":"321-327","source":"Crossref","is-referenced-by-count":12,"title":["Constructive Sheaf Semantics"],"prefix":"10.1002","volume":"43","author":[{"given":"Erik","family":"Palmgren","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Toposes and Local Set Theories","author":"Bell J. L.","year":"1988"},{"key":"e_1_2_1_3_2","series-title":"Bolyai Society Mathematical Studies 4","first-page":"159","volume-title":"Topology with Applications, Szeksz\u00e1rd (Hungary)","author":"Dragalin A. G.","year":"1993"},{"key":"e_1_2_1_4_2","unstructured":"Hofmann M. Extensional Concepts in Intensional Type Theory. PhD Thesis Edinburgh1995."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0927-0"},{"key":"e_1_2_1_6_2","volume-title":"Intuitionistic Type Theory","author":"Martin\u2010L\u00f6f P.","year":"1984"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(93)E0071-U"},{"key":"e_1_2_1_8_2","unstructured":"Moerdijk I. andE.Palmgren Minimal models of Heyting arithmetic. U.U.D.M. Report 1995:25."},{"key":"e_1_2_1_9_2","volume-title":"Programming in Martin\u2010L\u00f6f's type theory","author":"Nordstr\u00f6m B.","year":"1990"},{"key":"e_1_2_1_10_2","unstructured":"Palmgren E. A sheaf\u2010theoretic foundation for nonstandard analysis. U.U.D.M. Report 1995:43."},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.2307\/2275761"},{"key":"e_1_2_1_12_2","volume-title":"Constructivism in Mathematics. Volume II","author":"Troelstra A. S.","year":"1988"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19970430304","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19970430304","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T05:38:12Z","timestamp":1696916292000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19970430304"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1002\/malq.19970430304"],"URL":"https:\/\/doi.org\/10.1002\/malq.19970430304","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}