{"id":"https://openalex.org/W1553022663","doi":"https://doi.org/10.1007/3-540-44683-4_2","title":"On Implications between P-NP-Hypotheses: Decision versus Computation in Algebraic Complexity","display_name":"On Implications between P-NP-Hypotheses: Decision versus Computation in Algebraic Complexity","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1553022663","doi":"https://doi.org/10.1007/3-540-44683-4_2","mag":"1553022663"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44683-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44683-4_2","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/A5029244957","display_name":"Peter B\u00fcrgisser","orcid":"https://orcid.org/0000-0001-8169-0514"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Peter B\u00fcrgisser","raw_affiliation_strings":["Dept. of Mathematics and Computer Science, University of Paderborn, D-33095, Paderborn, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics and Computer Science, University of Paderborn, D-33095, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029244957"],"corresponding_institution_ids":["https://openalex.org/I206945453"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8789,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.73693112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9994000196456909,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9994000196456909,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9976000189781189,"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":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7227894067764282},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5982769131660461},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5771265029907227},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45881280303001404},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4546227753162384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3004223704338074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1886078119277954},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09028369188308716}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7227894067764282},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5982769131660461},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5771265029907227},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45881280303001404},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4546227753162384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3004223704338074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1886078119277954},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09028369188308716},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-44683-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44683-4_2","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W201320490","https://openalex.org/W639289183","https://openalex.org/W1485087398","https://openalex.org/W1497600877","https://openalex.org/W1542983427","https://openalex.org/W1550331971","https://openalex.org/W1558756833","https://openalex.org/W1561337879","https://openalex.org/W1576854535","https://openalex.org/W1597994773","https://openalex.org/W1708892819","https://openalex.org/W1965518937","https://openalex.org/W1968206655","https://openalex.org/W1970439855","https://openalex.org/W1978035078","https://openalex.org/W1979572578","https://openalex.org/W1979740015","https://openalex.org/W1982027240","https://openalex.org/W1986662193","https://openalex.org/W1997195656","https://openalex.org/W1997744504","https://openalex.org/W2004419188","https://openalex.org/W2006912660","https://openalex.org/W2032022602","https://openalex.org/W2040034237","https://openalex.org/W2040922227","https://openalex.org/W2060363924","https://openalex.org/W2064224503","https://openalex.org/W2064463780","https://openalex.org/W2064751579","https://openalex.org/W2064804790","https://openalex.org/W2071846104","https://openalex.org/W2074939631","https://openalex.org/W2081256023","https://openalex.org/W2082560626","https://openalex.org/W2085634981","https://openalex.org/W2087197979","https://openalex.org/W2114861296","https://openalex.org/W2116488705","https://openalex.org/W2124814688","https://openalex.org/W2150121468","https://openalex.org/W2161824925","https://openalex.org/W2162960148","https://openalex.org/W2170831059","https://openalex.org/W2610680804","https://openalex.org/W2740986359","https://openalex.org/W3125711786","https://openalex.org/W4250860500","https://openalex.org/W4301168154"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2046435967","https://openalex.org/W2053286651","https://openalex.org/W4231775656","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W4251748586","https://openalex.org/W2477549100"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
