{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T20:07:12Z","timestamp":1774987632603,"version":"3.50.1"},"publisher-location":"New York, NY, USA","reference-count":22,"publisher":"ACM","license":[{"start":{"date-parts":[[2012,1,25]],"date-time":"2012-01-25T00:00:00Z","timestamp":1327449600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2012,1,25]]},"DOI":"10.1145\/2103656.2103697","type":"proceedings-article","created":{"date-parts":[[2012,1,24]],"date-time":"2012-01-24T11:47:19Z","timestamp":1327405639000},"page":"337-348","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":20,"title":["Canonicity for 2-dimensional type theory"],"prefix":"10.1145","author":[{"given":"Daniel R.","family":"Licata","sequence":"first","affiliation":[{"name":"Carnegie Mellon University, Pittsburgh, PA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert","family":"Harper","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University, Pittsburgh, PA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"e_1_3_2_2_1_1","volume-title":"www.homotopytypetheory.org","year":"2011","unstructured":"Homotopy type theory Web site. www.homotopytypetheory.org , 2011 . Homotopy type theory Web site. www.homotopytypetheory.org, 2011."},{"key":"e_1_3_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.5555\/788021.788977"},{"key":"e_1_3_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1292597.1292608"},{"key":"e_1_3_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004108001783"},{"key":"e_1_3_2_2_5_1","volume-title":"Implementing Mathematics with the NuPRL Proof Development System","author":"Constable R. L.","year":"1986","unstructured":"R. L. Constable , S. F. Allen , H. M. Bromley , W. R. Cleaveland , J. F. Cremer , R. W. Harper , D. J. Howe , T. B. Knoblock , N. P. Mendler , P. Panangaden , J. T. Sasaki , and S. F. Smith . Implementing Mathematics with the NuPRL Proof Development System . Prentice Hall , 1986 . R. L. Constable, S. F. Allen, H. M. Bromley, W. R. Cleaveland, J. F. Cremer, R. W. Harper, D. J. Howe, T. B. Knoblock, N. P. Mendler, P. Panangaden, J. T. Sasaki, and S. F. Smith. Implementing Mathematics with the NuPRL Proof Development System. Prentice Hall, 1986."},{"key":"e_1_3_2_2_6_1","volume-title":"July","author":"de Queiroz R. J. G. B.","year":"2011","unstructured":"R. J. G. B. de Queiroz and A. G. de Oliveira . Propositional equality, identity types, and direct computational paths. ArXiv e-prints , July 2011 . R. J. G. B. de Queiroz and A. G. de Oliveira. Propositional equality, identity types, and direct computational paths. ArXiv e-prints, July 2011."},{"key":"e_1_3_2_2_7_1","volume-title":"APPSEM 2000","volume":"2395","author":"Dybjer P.","year":"2000","unstructured":"P. Dybjer and A. Filinski . Normalization and partial evaluation. In Applied Semantics: International Summer School , APPSEM 2000 , volume 2395 of Lecture Notes in Computer Science, pages 137--192. Springer-Verlag , September 2000 . P. Dybjer and A. Filinski. Normalization and partial evaluation. In Applied Semantics: International Summer School, APPSEM 2000, volume 2395 of Lecture Notes in Computer Science, pages 137--192. Springer-Verlag, September 2000."},{"key":"e_1_3_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2008.08.030"},{"key":"e_1_3_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0960129509007646"},{"key":"e_1_3_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526619.004"},{"key":"e_1_3_2_2_12_1","volume-title":"Twenty-five years of constructive type theory","author":"Hofmann M.","year":"1998","unstructured":"M. Hofmann and T. Streicher . The groupoid interpretation of type theory . In Twenty-five years of constructive type theory . Oxford University Press , 1998 . M. Hofmann and T. Streicher. The groupoid interpretation of type theory. In Twenty-five years of constructive type theory. Oxford University Press, 1998."},{"key":"e_1_3_2_2_13_1","volume-title":"Canonicity for 2-dimensional type theory (extended version)","author":"Licata D. R.","year":"2011","unstructured":"D. R. Licata and R. Haprer . Canonicity for 2-dimensional type theory (extended version) . Technical Report Carnegie Mellon University-CS-11--143, Carnegie Mellon University , 2011 . D. R. Licata and R. Haprer. Canonicity for 2-dimensional type theory (extended version). Technical Report Carnegie Mellon University-CS-11--143, Carnegie Mellon University, 2011."},{"key":"e_1_3_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.entcs.2011.09.026"},{"key":"e_1_3_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02273-9_14"},{"key":"e_1_3_2_2_16_1","series-title":"Studies in Logic and the Foundations of Mathematics","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/S0049-237X(08)71945-1","volume-title":"Logic Colloquium '73, Proceedings of the Logic Colloquium","author":"Martin-L\u00f6f P.","year":"1975","unstructured":"P. Martin-L\u00f6f . An intuitionistic theory of types: Predicative part . In H. Rose and J. Shepherdson, editors, Logic Colloquium '73, Proceedings of the Logic Colloquium , volume 80 of Studies in Logic and the Foundations of Mathematics , pages 73 -- 118 . Elsevier , 1975 . P. Martin-L\u00f6f. An intuitionistic theory of types: Predicative part. In H. Rose and J. Shepherdson, editors, Logic Colloquium '73, Proceedings of the Logic Colloquium, volume 80 of Studies in Logic and the Foundations of Mathematics, pages 73 -- 118. Elsevier, 1975."},{"key":"e_1_3_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1984.0073"},{"key":"e_1_3_2_2_18_1","volume-title":"Programming in Martin-L\u00f6f's Type Theory, an Introduction","author":"Nordstr\u00f6m B.","year":"1990","unstructured":"B. Nordstr\u00f6m , K. Peterson , and J. Smith . Programming in Martin-L\u00f6f's Type Theory, an Introduction . Clarendon Press , 1990 . B. Nordstr\u00f6m, K. Peterson, and J. Smith. Programming in Martin-L\u00f6f's Type Theory, an Introduction. Clarendon Press, 1990."},{"key":"e_1_3_2_2_20_1","first-page":"39","volume-title":"Handbook of Logic in Computer Science","author":"Pitts A. M.","year":"2000","unstructured":"A. M. Pitts . Categorical logic . In S. Abramsky, D. M. Gabbay, and T. S. E. Maibaum, editors, Handbook of Logic in Computer Science , Volume 5 . Algebraic and Logical Structures, chapter 2, pages 39 -- 128 . Oxford University Press , 2000 . A. M. Pitts. Categorical logic. In S. Abramsky, D. M. Gabbay, and T. S. E. Maibaum, editors, Handbook of Logic in Computer Science, Volume 5. Algebraic and Logical Structures, chapter 2, pages 39--128. Oxford University Press, 2000."},{"key":"e_1_3_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/1190315.1190324"},{"key":"e_1_3_2_2_22_1","volume-title":"Types are weak \u03c9-groupoids. Available from http:\/\/www.dpmms.cam.ac.uk\/ rhgg2\/Typesom\/Typesom.html","author":"van den Berg B.","year":"2010","unstructured":"B. van den Berg and R. Garner . Types are weak \u03c9-groupoids. Available from http:\/\/www.dpmms.cam.ac.uk\/ rhgg2\/Typesom\/Typesom.html , 2010 . B. van den Berg and R. Garner. Types are weak \u03c9-groupoids. Available from http:\/\/www.dpmms.cam.ac.uk\/ rhgg2\/Typesom\/Typesom.html, 2010."},{"key":"e_1_3_2_2_23_1","volume-title":"Information and Computation","author":"Voevodsky V.","year":"2011","unstructured":"V. Voevodsky . Univalent foundations of mathematics. Invited talk at WoLLIC 2011 18th Workshop on Logic, Language , Information and Computation , 2011 . V. Voevodsky. Univalent foundations of mathematics. Invited talk at WoLLIC 2011 18th Workshop on Logic, Language, Information and Computation, 2011."},{"key":"e_1_3_2_2_24_1","volume-title":"Carnegie Mellon University","author":"Warren M. A.","year":"2008","unstructured":"M. A. Warren . Homotopy theoretic aspects of constructive type theory. PhD thesis , Carnegie Mellon University , 2008 . M. A. Warren. Homotopy theoretic aspects of constructive type theory. PhD thesis, Carnegie Mellon University, 2008."}],"event":{"name":"POPL '12: The 39th Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages","location":"Philadelphia PA USA","acronym":"POPL '12","sponsor":["SIGPLAN ACM Special Interest Group on Programming Languages","SIGACT ACM Special Interest Group on Algorithms and Computation Theory"]},"container-title":["Proceedings of the 39th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2103656.2103697","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2103656.2103697","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T06:06:21Z","timestamp":1750226781000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2103656.2103697"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1,25]]},"references-count":22,"alternative-id":["10.1145\/2103656.2103697","10.1145\/2103656"],"URL":"https:\/\/doi.org\/10.1145\/2103656.2103697","relation":{"is-identical-to":[{"id-type":"doi","id":"10.1145\/2103621.2103697","asserted-by":"object"}]},"subject":[],"published":{"date-parts":[[2012,1,25]]},"assertion":[{"value":"2012-01-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}