{"id":"https://openalex.org/W1617132762","doi":"https://doi.org/10.3233/fi-2015-1165","title":"Bases for AC <sup>0</sup> and Other Complexity Classes","display_name":"Bases for AC <sup>0</sup> and Other Complexity Classes","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W1617132762","doi":"https://doi.org/10.3233/fi-2015-1165","mag":"1617132762"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2015-1165","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2015-1165","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5023356985","display_name":"S. Mazzanti","orcid":"https://orcid.org/0000-0001-7923-566X"},"institutions":[{"id":"https://openalex.org/I11986463","display_name":"Universit\u00e0 Iuav di Venezia","ror":"https://ror.org/01e6ksd91","country_code":"IT","type":"education","lineage":["https://openalex.org/I11986463"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefano Mazzanti","raw_affiliation_strings":["Dipartimento di Culture del Progetto, Universit\u00e0 Iuav di Venezia, Fondamenta delle Terese 2206, 30123 Venezia, Italy. mazzanti@iuav.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Culture del Progetto, Universit\u00e0 Iuav di Venezia, Fondamenta delle Terese 2206, 30123 Venezia, Italy. mazzanti@iuav.it","institution_ids":["https://openalex.org/I11986463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023356985"],"corresponding_institution_ids":["https://openalex.org/I11986463"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.03458132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"136","issue":"4","first_page":"433","last_page":"460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9987999796867371,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9987999796867371,"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/T11567","display_name":"semigroups and automata theory","score":0.9970999956130981,"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/T10142","display_name":"Formal Methods in Verification","score":0.9950000047683716,"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/computer-science","display_name":"Computer science","score":0.5008199214935303},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4079137146472931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3676205277442932},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32908761501312256},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3260071277618408}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5008199214935303},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4079137146472931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3676205277442932},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32908761501312256},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3260071277618408}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/fi-2015-1165","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2015-1165","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:air.iuav.it:11578/243897","is_oa":false,"landing_page_url":"http://hdl.handle.net/11578/243897","pdf_url":null,"source":{"id":"https://openalex.org/S4306400547","display_name":"AirIuav (Universit\u00e0 Iuav di Venezia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11986463","host_organization_name":"Universit\u00e0 Iuav di Venezia","host_organization_lineage":["https://openalex.org/I11986463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W169256259","https://openalex.org/W1537230380","https://openalex.org/W1967699296","https://openalex.org/W1973618428","https://openalex.org/W1976501427","https://openalex.org/W2001022561","https://openalex.org/W2024091095","https://openalex.org/W2045583484","https://openalex.org/W2064565854","https://openalex.org/W2136868774","https://openalex.org/W2137003776","https://openalex.org/W2151430929","https://openalex.org/W2169150716","https://openalex.org/W2271334033","https://openalex.org/W2559360791","https://openalex.org/W3029117793"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Function":[0],"complexity":[1,35],"classes":[2,36],"are":[3,37],"defined":[4,38],"as":[5,39],"the":[6,26,40],"substitution":[7,41],"closure":[8,42],"of":[9,17,19,28,43],"finite":[10,45],"function":[11,23,46],"sets":[12],"by":[13],"improving":[14],"a":[15,44],"method":[16],"elimination":[18],"concatenation":[20],"recursion":[21],"from":[22],"algebras.":[24],"Consequently,":[25],"set":[27],"AC":[29],"0":[30],"functions":[31],"and":[32],"other":[33],"canonical":[34],"set.":[47]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}
