{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T23:56:54Z","timestamp":1770767814923,"version":"3.50.0"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2023,2,14]],"date-time":"2023-02-14T00:00:00Z","timestamp":1676332800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>The lambda-Pi-calculus modulo theory is a logical framework in which many\ntype systems can be expressed as theories. We present such a theory, the theory\nU, where proofs of several logical systems can be expressed. Moreover, we\nidentify a sub-theory of U corresponding to each of these systems, and prove\nthat, when a proof in U uses only symbols of a sub-theory, then it is a proof\nin that sub-theory.<\/jats:p>","DOI":"10.46298\/lmcs-19(1:12)2023","type":"journal-article","created":{"date-parts":[[2023,2,14]],"date-time":"2023-02-14T17:52:57Z","timestamp":1676397177000},"source":"Crossref","is-referenced-by-count":5,"title":["A modular construction of type theories"],"prefix":"10.46298","volume":"Volume 19, Issue 1","author":[{"given":"Fr\u00e9d\u00e9ric","family":"Blanqui","sequence":"first","affiliation":[]},{"given":"Gilles","family":"Dowek","sequence":"additional","affiliation":[]},{"given":"Emilie","family":"Grienenberger","sequence":"additional","affiliation":[]},{"given":"Gabriel","family":"Hondet","sequence":"additional","affiliation":[]},{"given":"Fran\u00e7ois","family":"Thir\u00e9","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2023,2,14]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/10959\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/10959\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T20:20:28Z","timestamp":1687292428000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/8637"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,14]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-19(1:12)2023","relation":{"has-preprint":[{"id-type":"arxiv","id":"2111.00543v4","asserted-by":"subject"},{"id-type":"arxiv","id":"2111.00543v2","asserted-by":"subject"},{"id-type":"arxiv","id":"2111.00543v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2111.00543","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2111.00543","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"value":"1860-5974","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,14]]},"article-number":"8637"}}