{"id":"https://openalex.org/W2281450361","doi":"https://doi.org/10.1007/bfb0029975","title":"On P versus NP\u2229co-NP for decision trees and read-once branching programs","display_name":"On P versus NP\u2229co-NP for decision trees and read-once branching programs","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2281450361","doi":"https://doi.org/10.1007/bfb0029975","mag":"2281450361"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0029975","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0029975","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5048543827","display_name":"Stasys Jukna","orcid":"https://orcid.org/0000-0002-2786-9326"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"S. Jukna","raw_affiliation_strings":["Dept. of Computer Science, University of Trier, D-54286, Trier, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Trier, D-54286, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008113826","display_name":"Alexander Razborov","orcid":null},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. Razborov","raw_affiliation_strings":["Steklov Mathematical Institute, Gubkina 8, 117966, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Gubkina 8, 117966, Moscow, Russia","institution_ids":["https://openalex.org/I2801160905"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060114081","display_name":"Petr Savick\u00fd","orcid":"https://orcid.org/0000-0001-6974-0718"},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"P. Savick\u00fd","raw_affiliation_strings":["Acad. of Sci. of Czech Republic, Institute of Computer Science, Pod vod\u00e1renskou v\u011b\u017e\u00ed 2, 182 07, Praha 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Acad. of Sci. of Czech Republic, Institute of Computer Science, Pod vod\u00e1renskou v\u011b\u017e\u00ed 2, 182 07, Praha 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075262791","display_name":"Ingo Wegener","orcid":null},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"I. Wegener","raw_affiliation_strings":["Dept. of Computer Science, University of Dortmund, D-44221, Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Dortmund, D-44221, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048543827"],"corresponding_institution_ids":["https://openalex.org/I89864525"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.0117,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.913922,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"319","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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":0.9952999949455261,"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/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.8245940804481506},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6571025848388672},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.6333674788475037},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6248282194137573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.531830370426178},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5189604163169861},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5016689300537109},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44891270995140076},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44626539945602417},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.44367480278015137},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42998841404914856},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.4243365228176117},{"id":"https://openalex.org/keywords/implicant","display_name":"Implicant","score":0.41468772292137146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35047242045402527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19115552306175232},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.15523886680603027}],"concepts":[{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.8245940804481506},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6571025848388672},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.6333674788475037},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6248282194137573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.531830370426178},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5189604163169861},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5016689300537109},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44891270995140076},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44626539945602417},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.44367480278015137},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42998841404914856},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.4243365228176117},{"id":"https://openalex.org/C102487863","wikidata":"https://www.wikidata.org/wiki/Q1291626","display_name":"Implicant","level":4,"score":0.41468772292137146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35047242045402527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19115552306175232},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.15523886680603027},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0029975","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0029975","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W198198492","https://openalex.org/W1524205832","https://openalex.org/W1972416792","https://openalex.org/W1974411071","https://openalex.org/W1988645060","https://openalex.org/W1991547553","https://openalex.org/W2014850486","https://openalex.org/W2021647730","https://openalex.org/W2029058452","https://openalex.org/W2036656440","https://openalex.org/W2045924252","https://openalex.org/W2053817819","https://openalex.org/W2094321606","https://openalex.org/W2123540893","https://openalex.org/W2133091062","https://openalex.org/W2165293955"],"related_works":["https://openalex.org/W2046603834","https://openalex.org/W257150968","https://openalex.org/W3140601928","https://openalex.org/W2135067409","https://openalex.org/W2187008505","https://openalex.org/W4248224315","https://openalex.org/W1967845326","https://openalex.org/W2169792446","https://openalex.org/W1977451125","https://openalex.org/W2146486595"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
