{"id":"https://openalex.org/W345275332","doi":"https://doi.org/10.1007/3-540-61440-0_142","title":"Hitting sets derandomize BPP","display_name":"Hitting sets derandomize BPP","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W345275332","doi":"https://doi.org/10.1007/3-540-61440-0_142","mag":"345275332"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-61440-0_142","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61440-0_142","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":"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/A5110054740","display_name":"Alexander E. Andreev","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alexander E. Andreev","raw_affiliation_strings":["Dept. of Mathematics, University of Moscow, USSR","University of Moscow"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, University of Moscow, USSR","institution_ids":[]},{"raw_affiliation_string":"University of Moscow","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001082357","display_name":"Andrea Clementi","orcid":"https://orcid.org/0000-0002-9521-2457"},"institutions":[{"id":"https://openalex.org/I4210101866","display_name":"Informa (Italy)","ror":"https://ror.org/017c2y429","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210101866","https://openalex.org/I4210154378"]},{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea E. F. Clementi","raw_affiliation_strings":["Dip. di Scienze dell'Informazione, University \u201cLa Sapienza\u201d of Rome, Italy","University \u2018\u2018La Sapienza\u2019\u2019 of Rome"],"affiliations":[{"raw_affiliation_string":"Dip. di Scienze dell'Informazione, University \u201cLa Sapienza\u201d of Rome, Italy","institution_ids":["https://openalex.org/I861853513","https://openalex.org/I4210101866"]},{"raw_affiliation_string":"University \u2018\u2018La Sapienza\u2019\u2019 of Rome","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045128977","display_name":"Andrea Roli","orcid":"https://orcid.org/0000-0001-9891-5441"},"institutions":[{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]},{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"education","lineage":["https://openalex.org/I114457229"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 D. P. Rolim","raw_affiliation_strings":["Centre Universitaire d'Informatique, University of Geneva, CH","University of Geneva;"],"affiliations":[{"raw_affiliation_string":"Centre Universitaire d'Informatique, University of Geneva, CH","institution_ids":["https://openalex.org/I4210161954","https://openalex.org/I114457229"]},{"raw_affiliation_string":"University of Geneva;","institution_ids":["https://openalex.org/I114457229"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110054740"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4769,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.623039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"357","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973000288009644,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973000288009644,"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":0.9958999752998352,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dtime","display_name":"DTIME","score":0.6947898864746094},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.645137369632721},{"id":"https://openalex.org/keywords/hitting-time","display_name":"Hitting time","score":0.6401684880256653},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6345663070678711},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6140391826629639},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5948687195777893},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5759856700897217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5498924851417542},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.523004949092865},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44903185963630676},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44318950176239014},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4045763611793518},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3485059142112732},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3103252351284027},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.30277806520462036},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.14268475770950317},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06508198380470276},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.059980928897857666}],"concepts":[{"id":"https://openalex.org/C15547884","wikidata":"https://www.wikidata.org/wiki/Q1155831","display_name":"DTIME","level":5,"score":0.6947898864746094},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.645137369632721},{"id":"https://openalex.org/C199277547","wikidata":"https://www.wikidata.org/wiki/Q5872687","display_name":"Hitting time","level":2,"score":0.6401684880256653},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6345663070678711},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6140391826629639},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5948687195777893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5759856700897217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5498924851417542},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.523004949092865},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44903185963630676},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44318950176239014},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4045763611793518},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3485059142112732},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3103252351284027},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.30277806520462036},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.14268475770950317},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06508198380470276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.059980928897857666},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-61440-0_142","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61440-0_142","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"},{"id":"mag:345275332","is_oa":false,"landing_page_url":"http://eccc.hpi-web.de/eccc-reports/1995/TR95-061/index.html","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W147059047","https://openalex.org/W1547702496","https://openalex.org/W1587602953","https://openalex.org/W1604438253","https://openalex.org/W1984992697","https://openalex.org/W1998918799","https://openalex.org/W2019038806","https://openalex.org/W2164284862","https://openalex.org/W3150645827"],"related_works":["https://openalex.org/W2571236692","https://openalex.org/W3046240727","https://openalex.org/W2114150121","https://openalex.org/W3046794039","https://openalex.org/W147059047","https://openalex.org/W2809259539","https://openalex.org/W2021652795","https://openalex.org/W2593125389","https://openalex.org/W1497568429","https://openalex.org/W2963518007","https://openalex.org/W2062855793","https://openalex.org/W1502951011","https://openalex.org/W2163083173","https://openalex.org/W2949308554","https://openalex.org/W2168597683","https://openalex.org/W1756533857","https://openalex.org/W3126402506","https://openalex.org/W2792794671","https://openalex.org/W2082571280","https://openalex.org/W275231650"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}