{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:53:16Z","timestamp":1753894396350,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We show normalisation and decidability of convertibility for a type theory\nwith a hierarchy of universes and a proof irrelevant type of propositions,\nclose to the type system used in the proof assistant Lean. Contrary to previous\narguments, the proof does not require explicitly to introduce a notion of\nneutral and normal forms.<\/jats:p>","DOI":"10.46298\/lmcs-19(3:5)2023","type":"journal-article","created":{"date-parts":[[2023,7,13]],"date-time":"2023-07-13T08:35:15Z","timestamp":1689237315000},"source":"Crossref","is-referenced-by-count":0,"title":["Reduction Free Normalisation for a proof irrelevant type of propositions"],"prefix":"10.46298","volume":"Volume 19, Issue 3","author":[{"given":"Thierry","family":"Coquand","sequence":"first","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2023,7,13]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/11585\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/11585\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,13]],"date-time":"2023-07-13T08:35:16Z","timestamp":1689237316000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/8818"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,13]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-19(3:5)2023","relation":{"has-preprint":[{"id-type":"arxiv","id":"2103.04287v4","asserted-by":"subject"},{"id-type":"arxiv","id":"2103.04287v3","asserted-by":"subject"},{"id-type":"arxiv","id":"2103.04287v2","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2103.04287","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2103.04287","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2023,7,13]]},"article-number":"8818"}}