{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T22:53:30Z","timestamp":1773096810358,"version":"3.50.1"},"reference-count":1,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2014,2,12]],"date-time":"2014-02-12T00:00:00Z","timestamp":1392163200000},"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 propose a theory of learning aimed to formalize some ideas underlying\nCoquand's game semantics and Krivine's realizability of classical logic. We\nintroduce a notion of knowledge state together with a new topology, capturing\nfinite positive and negative information that guides a learning strategy. We\nuse a leading example to illustrate how non-constructive proofs lead to\ncontinuous and effective learning strategies over knowledge spaces, and prove\nthat our learning semantics is sound and complete w.r.t. classical truth, as it\nis the case for Coquand's and Krivine's approaches.<\/jats:p>","DOI":"10.2168\/lmcs-10(1:9)2014","type":"journal-article","created":{"date-parts":[[2014,7,15]],"date-time":"2014-07-15T09:40:14Z","timestamp":1405417214000},"source":"Crossref","is-referenced-by-count":3,"title":["Knowledge Spaces and the Completeness of Learning Strategies"],"prefix":"10.46298","volume":"Volume 10, Issue 1","author":[{"given":"Stefano","family":"Berardi","sequence":"first","affiliation":[]},{"given":"Ugo","family":"de'Liguoro","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2014,2,12]]},"reference":[{"key":"840:not-found"}],"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/lmcs.episciences.org\/729\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/lmcs.episciences.org\/729\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T19:54:45Z","timestamp":1681242885000},"score":1,"resource":{"primary":{"URL":"https:\/\/lmcs.episciences.org\/729"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,2,12]]},"references-count":1,"URL":"https:\/\/doi.org\/10.2168\/lmcs-10(1:9)2014","relation":{"is-same-as":[{"id-type":"arxiv","id":"1401.0885","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1401.0885","asserted-by":"subject"}],"is-part-of":[{"id-type":"doi","id":"10.4230\/lipics.csl.2012","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"value":"1860-5974","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,2,12]]},"article-number":"729"}}