{"id":"https://openalex.org/W2056610378","doi":"https://doi.org/10.1109/sfcs.1982.90","title":"Substitution of bounded rational cone","display_name":"Substitution of bounded rational cone","publication_year":1982,"publication_date":"1982-11-01","ids":{"openalex":"https://openalex.org/W2056610378","doi":"https://doi.org/10.1109/sfcs.1982.90","mag":"2056610378"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.1982.90","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5111734271","display_name":"Joffroy Beauquier","orcid":null},"institutions":[{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Joffroy Beauquier","raw_affiliation_strings":["L. I. T. P. and Universite de Picardie, Amiens, France"],"affiliations":[{"raw_affiliation_string":"L. I. T. P. and Universite de Picardie, Amiens, France","institution_ids":["https://openalex.org/I4647051"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016243955","display_name":"Michel Latteux","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michel Latteux","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":54},"biblio":{"volume":null,"issue":null,"first_page":"236","last_page":"243"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9999,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9999,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9793,"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/T12029","display_name":"DNA and Biological Computing","score":0.958,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6290189},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5769787},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.53046715}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7008414},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6290189},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6072163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6000936},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5769787},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5448113},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.53046715},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.47107995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3331705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22235596},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.080596745},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07006645},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.044469565},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.1982.90","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.46}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":16,"referenced_works":["https://openalex.org/W1489728738","https://openalex.org/W1505482284","https://openalex.org/W1577059114","https://openalex.org/W1996349544","https://openalex.org/W1997439580","https://openalex.org/W2028611813","https://openalex.org/W2034441788","https://openalex.org/W2041524189","https://openalex.org/W2050516132","https://openalex.org/W2065290848","https://openalex.org/W2065407197","https://openalex.org/W2076423537","https://openalex.org/W2076508310","https://openalex.org/W2094518278","https://openalex.org/W4025470","https://openalex.org/W4301662502"],"related_works":["https://openalex.org/W4327590948","https://openalex.org/W4308647020","https://openalex.org/W2575869988","https://openalex.org/W2393147081","https://openalex.org/W2385568494","https://openalex.org/W2379444625","https://openalex.org/W2370088286","https://openalex.org/W2042068218","https://openalex.org/W2038132579","https://openalex.org/W1978004465"],"abstract_inverted_index":{"We":[0,44,76],"study":[1],"the":[2,32,63,80],"family":[3,19],"S":[4,49],"of":[5,42,74],"rational":[6,13,39,88],"cones":[7,14],"obtained":[8],"by":[9],"iterated":[10],"substitutions":[11],"from":[12],"L1,":[15,83],"..,":[16],"Ln.":[17],"This":[18],"is":[20,71],"a":[21,38,72],"semi-group":[22],"and":[23,60],"to":[24,50,61],"every":[25],"non":[26],"empty":[27],"word":[28],"u":[29,57,70],"defined":[30],"on":[31],"alphabet":[33],"{L1,":[34],"...,":[35,84],"Ln},":[36],"corresponds":[37],"cone":[40],"U":[41],"S.":[43],"give":[45],"sufficient":[46],"conditions":[47],"for":[48],"be":[51],"free":[52],"(U":[53,66],"=":[54,58],"U\u2032":[55,68],"implies":[56,69],"u\u2032)":[59],"verify":[62],"subpattern":[64,73],"property":[65],"\u2282":[67],"u\u2032).":[75],"study,":[77],"more":[78],"particularly,":[79],"case":[81],"where":[82],"Ln":[85],"are":[86],"bounded":[87],"cones.":[89]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2056610378","counts_by_year":[],"updated_date":"2024-12-12T00:23:23.102603","created_date":"2016-06-24"}