{"id":"https://openalex.org/W7134232867","doi":"https://doi.org/10.1093/logcom/exag010","title":"A minimal substitution basis for the Kalm\u00e1r elementary functions","display_name":"A minimal substitution basis for the Kalm\u00e1r elementary functions","publication_year":2026,"publication_date":"2026-02-10","ids":{"openalex":"https://openalex.org/W7134232867","doi":"https://doi.org/10.1093/logcom/exag010"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exag010","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exag010","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic 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":null,"display_name":"Mihai Prunescu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mihai Prunescu","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Research Center for Logic, Optimization and Security (LOS), University of Bucharest , RO-010014 Bucharest ,","Simion Stoilow Institute of Mathematics of the Romanian Academy , Research unit 5, P. O. Box 1-764, RO-014700 Bucharest ,"],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Lorenzo Sauras-Altuzarra,","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lorenzo Sauras-Altuzarra,","raw_affiliation_strings":["Institute for Logic and Data Science , RO-010805 Bucharest ,","Kurt G\u00f6del Society , A-1040 Vienna ,"],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Joseph M Shunia,","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joseph M Shunia,","raw_affiliation_strings":["Independent researcher, Ann Arbor, Michigan ,"],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.97417122,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.303600013256073,"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":0.303600013256073,"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/T12170","display_name":"History and Theory of Mathematics","score":0.10570000112056732,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.10270000249147415,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/arity","display_name":"Arity","score":0.9243999719619751},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.900600016117096},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.7156999707221985},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6552000045776367},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6481999754905701},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5770999789237976}],"concepts":[{"id":"https://openalex.org/C110546421","wikidata":"https://www.wikidata.org/wiki/Q1315869","display_name":"Arity","level":2,"score":0.9243999719619751},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.900600016117096},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.7156999707221985},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6552000045776367},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6481999754905701},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5795999765396118},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5770999789237976},{"id":"https://openalex.org/C182408441","wikidata":"https://www.wikidata.org/wiki/Q824282","display_name":"Elementary function","level":2,"score":0.5443000197410583},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4480000138282776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41519999504089355},{"id":"https://openalex.org/C39143791","wikidata":"https://www.wikidata.org/wiki/Q7632133","display_name":"Substitution method","level":2,"score":0.37630000710487366},{"id":"https://openalex.org/C2777478746","wikidata":"https://www.wikidata.org/wiki/Q5358910","display_name":"Elementary proof","level":2,"score":0.3734999895095825},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33059999346733093},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.29109999537467957},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2736999988555908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2718000113964081},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exag010","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exag010","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1485212685","https://openalex.org/W2069399194","https://openalex.org/W2093166312","https://openalex.org/W4247585886","https://openalex.org/W4391553383","https://openalex.org/W4407723227","https://openalex.org/W4408377600","https://openalex.org/W4413066677","https://openalex.org/W4415950180"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,32],"show":[2],"that":[3,35],"the":[4,15,17,21,36],"class":[5],"of":[6],"Kalm\u00e1r":[7],"elementary":[8],"functions":[9],"can":[10],"be":[11],"inductively":[12],"generated":[13],"from":[14],"addition,":[16],"integer":[18],"remainder":[19],"and":[20,30],"base-two":[22],"exponentiation,":[23],"hence":[24],"improving":[25],"previous":[26],"results":[27],"by":[28,40],"Marchenkov":[29],"Mazzanti.":[31],"also":[33],"prove":[34],"substitution":[37,50],"basis":[38],"defined":[39],"these":[41],"three":[42],"operations":[43],"is":[44],"minimal.":[45],"Furthermore,":[46],"we":[47],"discuss":[48],"alternative":[49],"bases":[51],"under":[52],"arity":[53],"constraints.":[54]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2026-02-13T00:00:00"}
