{"id":"https://openalex.org/W2017145968","doi":"https://doi.org/10.1142/s0218196792000207","title":"INFERENCE OF REVERSIBLE LANGUAGES","display_name":"INFERENCE OF REVERSIBLE LANGUAGES","publication_year":1992,"publication_date":"1992-09-01","ids":{"openalex":"https://openalex.org/W2017145968","doi":"https://doi.org/10.1142/s0218196792000207","mag":"2017145968"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196792000207","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196792000207","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082269943","display_name":"ALAIN BONOPERA","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"ALAIN BONOPERA","raw_affiliation_strings":["LITP, 2 Place Jussieu, Paris 75251 Cedex 05, France"],"affiliations":[{"raw_affiliation_string":"LITP, 2 Place Jussieu, Paris 75251 Cedex 05, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073088518","display_name":"Bruno Gaujal","orcid":"https://orcid.org/0000-0001-9081-8401"},"institutions":[{"id":"https://openalex.org/I4210106545","display_name":"Research Centre Inria Sophia Antipolis - M\u00e9diterran\u00e9e","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"BRUNO GAUJAL","raw_affiliation_strings":["INRIA, Sophia Antipolis, Valbonne 06560, France","INRIA , Sophia-Antipolis, Valbonne, 06560, France"],"affiliations":[{"raw_affiliation_string":"INRIA, Sophia Antipolis, Valbonne 06560, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA , Sophia-Antipolis, Valbonne, 06560, France","institution_ids":["https://openalex.org/I4210106545","https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082269943"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12723603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"02","issue":"03","first_page":"327","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/grammar-induction","display_name":"Grammar induction","score":0.8360891342163086},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.8035212159156799},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7645190954208374},{"id":"https://openalex.org/keywords/inductive-reasoning","display_name":"Inductive reasoning","score":0.6027116775512695},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5859408378601074},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.5345736145973206},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4480849802494049},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44766661524772644},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38007652759552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27822232246398926},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.25455039739608765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20102965831756592},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17689281702041626},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.165095716714859},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07221180200576782},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.06681805849075317}],"concepts":[{"id":"https://openalex.org/C56601403","wikidata":"https://www.wikidata.org/wiki/Q5593673","display_name":"Grammar induction","level":3,"score":0.8360891342163086},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.8035212159156799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7645190954208374},{"id":"https://openalex.org/C21563000","wikidata":"https://www.wikidata.org/wiki/Q484511","display_name":"Inductive reasoning","level":2,"score":0.6027116775512695},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5859408378601074},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.5345736145973206},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4480849802494049},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44766661524772644},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38007652759552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27822232246398926},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25455039739608765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20102965831756592},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17689281702041626},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.165095716714859},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07221180200576782},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.06681805849075317},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196792000207","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196792000207","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W827893165","https://openalex.org/W2031469331","https://openalex.org/W2584212761","https://openalex.org/W135782543","https://openalex.org/W2188975786","https://openalex.org/W1842051759","https://openalex.org/W2079453942","https://openalex.org/W2095745830","https://openalex.org/W2152514455","https://openalex.org/W1597434097"],"abstract_inverted_index":{"We":[0],"consider":[1],"inductive":[2],"inference":[3],"of":[4,7],"certain":[5],"classes":[6],"languages,":[8],"namely":[9],"the":[10,29,61],"k-reversible":[11,42],"languages":[12],"for":[13],"some":[14],"fixed":[15],"k\u22650,":[16],"from":[17],"positive,":[18],"possibly":[19],"infinite":[20],"samples.":[21],"More":[22],"precisely,":[23],"given":[24],"any":[25],"rational":[26],"language":[27,43],"S,":[28],"sample,":[30],"we":[31,55],"prove":[32],"that":[33],"there":[34],"exists":[35],"a":[36,57],"smallest,":[37],"with":[38],"respect":[39],"to":[40],"inclusion,":[41],"containing":[44],"it,":[45],"which":[46],"is":[47],"then":[48],"also":[49],"rational.":[50],"After":[51],"an":[52],"algebraic":[53],"proof,":[54],"describe":[56],"polynomial":[58],"algorithm":[59],"performing":[60],"inference.":[62]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}