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Calculus of constructions
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==Sources== {{refbegin}} * {{cite journal | first1 = Thierry | last1 = Coquand | author-link1 = Thierry Coquand | first2 = Gérard | last2 = Huet | author-link2 = Gérard Huet | title = The Calculus of Constructions | journal = [[Information and Computation]] | volume = 76 | issue = 2–3 | date = 1988 | doi = 10.1016/0890-5401(88)90005-3 | pages = 95–120 | url = http://hal.archives-ouvertes.fr/docs/00/07/60/24/PDF/RR-0530.pdf | doi-access = free }} ** Also available freely accessible online: {{cite tech report | first1 = Thierry | last1 = Coquand | first2 = Gérard | last2 = Huet | url = http://hal.inria.fr/inria-00076024/en/ | title = The calculus of constructions | id = 530 | publisher = [[INRIA]], Centre de Rocquencourt | date = 1986 }} <br/> Note terminology is rather different. For instance, (<math>\forall x:A . B</math>) is written [''x'' : ''A''] ''B''. * {{cite web|url=https://citeseerx.ist.psu.edu/doc/10.1.1.88.9497 | first1 = M. W. | last1 = Bunder | first2 = Jonathan P. | last2 = Seldin | title = Variants of the Basic Calculus of Constructions | date = 2004 | citeseerx = 10.1.1.88.9497 }} * {{cite web | first = Maria João | last = Frade | date = 2009 | url = http://www3.di.uminho.pt/~mjf/pub/SFV-CIC-2up.pdf | title = Calculus of Inductive Constructions | format = talk | access-date = 2013-03-03 | archive-url = https://web.archive.org/web/20140529103535/http://www3.di.uminho.pt/~mjf/pub/SFV-CIC-2up.pdf | archive-date = 2014-05-29 | url-status = dead }} * {{cite book| first=Gérard |last=Huet| chapter=Induction Principles Formalized in the Calculus of Constructions |year=1988 |pages=205–216 |publisher=North-Holland |editor-first=K. |editor-last=Fuchi |editor2-first=M. |editor2-last=Nivat |editor-link2=Maurice Nivat|chapter-url=http://yquem.inria.fr/~huet/PUBLIC/induction.pdf |title=Programming of Future Generation Computers |isbn=0444704108|archive-url=https://web.archive.org/web/20150701130220/http://yquem.inria.fr/~huet/PUBLIC/induction.pdf|archive-date=2015-07-01}} — An application of the CoC {{refend}} [[Category:Dependently typed programming]] [[Category:Lambda calculus]] [[Category:Type theory]]
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