{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T11:51:41Z","timestamp":1759146701822,"version":"3.41.2"},"reference-count":1,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2015,6,16]],"date-time":"2015-06-16T00:00:00Z","timestamp":1434412800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We present several known formalizations of theorems from computational\ncomplexity in bounded arithmetic and formalize the PCP theorem in the theory\nPV1 (no formalization of this theorem was known). This includes a formalization\nof the existence and of some properties of the (n,d,{\\lambda})-graphs in PV1.<\/jats:p>","DOI":"10.2168\/lmcs-11(2:8)2015","type":"journal-article","created":{"date-parts":[[2016,11,21]],"date-time":"2016-11-21T13:13:12Z","timestamp":1479733992000},"source":"Crossref","is-referenced-by-count":8,"title":["Logical strength of complexity theory and a formalization of the PCP theorem in bounded arithmetic"],"prefix":"10.46298","volume":"Volume 11, Issue 2","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2731-1330","authenticated-orcid":false,"given":"J\u00e1n","family":"Pich","sequence":"first","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2015,6,16]]},"reference":[{"key":"1039:not-found"}],"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/1568\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/1568\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T20:06:45Z","timestamp":1681243605000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/1568"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,6,16]]},"references-count":1,"URL":"https:\/\/doi.org\/10.2168\/lmcs-11(2:8)2015","relation":{"is-same-as":[{"id-type":"arxiv","id":"1412.3246","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1412.3246","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2015,6,16]]},"article-number":"1568"}}