{"id":"https://openalex.org/W1486447085","doi":"https://doi.org/10.3233/fi-1997-32203","title":"Complexity of Recursive Normal Default Logic","display_name":"Complexity of Recursive Normal Default Logic","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1486447085","doi":"https://doi.org/10.3233/fi-1997-32203","mag":"1486447085"},"language":"en","primary_location":{"id":"doi:10.3233/fi-1997-32203","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1997-32203","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/A5048411051","display_name":"Victor W. Marek","orcid":"https://orcid.org/0000-0002-1369-5177"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"V. Wiktor Marek","raw_affiliation_strings":["Department of Computer Science, University of Kentucky, Lexington, KY 40506, E-mail: marek@cs.uky.edu","(Research partially supported by NSF grant IRI-9619233, and ARO contract DAAH04-96-1-0398) Department of Computer Science, University of Kentucky, Lexington, KY 40506, E-mail: marek@cs.uky.edu"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Kentucky, Lexington, KY 40506, E-mail: marek@cs.uky.edu","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"(Research partially supported by NSF grant IRI-9619233, and ARO contract DAAH04-96-1-0398) Department of Computer Science, University of Kentucky, Lexington, KY 40506, E-mail: marek@cs.uky.edu","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082347461","display_name":"Anil Nerode","orcid":null},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anil Nerode","raw_affiliation_strings":["Mathematical Sciences Institute, Cornell University, Ithaca, NY 14853, E-mail: anil@math.cornell.edu","(Research supported by US ARO contract DAAL03-91-C-0027) Mathematical Sciences Institute, Cornell University, Ithaca, NY 14853, E-mail: anil@math.cornell.edu"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Institute, Cornell University, Ithaca, NY 14853, E-mail: anil@math.cornell.edu","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"(Research supported by US ARO contract DAAL03-91-C-0027) Mathematical Sciences Institute, Cornell University, Ithaca, NY 14853, E-mail: anil@math.cornell.edu","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113511227","display_name":"Jeffrey B. Remmel","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffrey B. Remmel","raw_affiliation_strings":["Department of Mathematics, University of California, La Jolla, CA 92093. E-mail: remmel@kleene.ucsd.edu","(Research partially supported by NSF grant DMS-9306427) Department of Mathematics, University of California, La Jolla, CA 92093. E-mail: remmel@kleene.ucsd.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, La Jolla, CA 92093. E-mail: remmel@kleene.ucsd.edu","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"(Research partially supported by NSF grant DMS-9306427) Department of Mathematics, University of California, La Jolla, CA 92093. E-mail: remmel@kleene.ucsd.edu#TAB#","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048411051"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.06141944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"32","issue":"2","first_page":"139","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.994700014591217,"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/default-logic","display_name":"Default logic","score":0.8927005529403687},{"id":"https://openalex.org/keywords/default","display_name":"Default","score":0.6605859994888306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49625664949417114},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.41822952032089233},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.4162311255931854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38070929050445557},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35060638189315796},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33559662103652954},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32202693819999695},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.3054407238960266},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.2684206962585449},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.1832011342048645},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.09692138433456421},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.06589609384536743}],"concepts":[{"id":"https://openalex.org/C160236029","wikidata":"https://www.wikidata.org/wiki/Q842421","display_name":"Default logic","level":5,"score":0.8927005529403687},{"id":"https://openalex.org/C69637215","wikidata":"https://www.wikidata.org/wiki/Q702362","display_name":"Default","level":2,"score":0.6605859994888306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49625664949417114},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.41822952032089233},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.4162311255931854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38070929050445557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35060638189315796},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33559662103652954},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32202693819999695},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.3054407238960266},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.2684206962585449},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.1832011342048645},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.09692138433456421},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.06589609384536743},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-1997-32203","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1997-32203","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W3747978","https://openalex.org/W91931761","https://openalex.org/W100998903","https://openalex.org/W163949134","https://openalex.org/W192368243","https://openalex.org/W1494051470","https://openalex.org/W1504169145","https://openalex.org/W1511711492","https://openalex.org/W1536217426","https://openalex.org/W1544564247","https://openalex.org/W1569949931","https://openalex.org/W1597862920","https://openalex.org/W1966552757","https://openalex.org/W1966761138","https://openalex.org/W1968513265","https://openalex.org/W1976303542","https://openalex.org/W1984715534","https://openalex.org/W1988882917","https://openalex.org/W1994609200","https://openalex.org/W1997714358","https://openalex.org/W2004352874","https://openalex.org/W2010160994","https://openalex.org/W2038181165","https://openalex.org/W2043182143","https://openalex.org/W2055029276","https://openalex.org/W2111353076","https://openalex.org/W2132745831","https://openalex.org/W2155322595","https://openalex.org/W2157221482","https://openalex.org/W2157746363","https://openalex.org/W2169602487","https://openalex.org/W2173808493","https://openalex.org/W2611415697","https://openalex.org/W2913309218","https://openalex.org/W2945259913"],"related_works":["https://openalex.org/W2155322595","https://openalex.org/W157785659","https://openalex.org/W1526015668","https://openalex.org/W290319452","https://openalex.org/W1988882917","https://openalex.org/W1545424768","https://openalex.org/W1131711164","https://openalex.org/W2740120804","https://openalex.org/W103897470","https://openalex.org/W1549653765"],"abstract_inverted_index":{"Normal":[0],"default":[1,6,27],"logic,":[2],"the":[3,15,19],"fragment":[4],"of":[5,14,26,38],"logic":[7],"obtained":[8],"by":[9],"restricting":[10],"defaults":[11],"to":[12],"rules":[13],"form":[16],"\u03b1:M\u03b2/\u03b2,":[17],"is":[18],"most":[20],"important":[21],"and":[22],"widely":[23],"studied":[24],"part":[25],"logic.":[28],"In":[29],"[20],":[30],"we":[31],"proved":[32],"a":[33],"basis":[34],"theorem":[35],"for":[36],"extensions":[37],"recursive":[39],"propositi":[40]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
