{"id":"https://openalex.org/W1520223934","doi":"https://doi.org/10.1007/978-3-540-45138-9_19","title":"Error-Bounded Probabilistic Computations between MA and AM","display_name":"Error-Bounded Probabilistic Computations between MA and AM","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1520223934","doi":"https://doi.org/10.1007/978-3-540-45138-9_19","mag":"1520223934"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45138-9_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45138-9_19","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/A5015972134","display_name":"Elmar B\u00f6hler","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Elmar B\u00f6hler","raw_affiliation_strings":["Theoretische Informatik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany","Universit\u00e4t W\u00fcrzburg#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretische Informatik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Universit\u00e4t W\u00fcrzburg#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111915074","display_name":"Christian Gla\u00dfer","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Gla\u00dfer","raw_affiliation_strings":["Theoretische Informatik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany","Universit\u00e4t W\u00fcrzburg#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretische Informatik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Universit\u00e4t W\u00fcrzburg#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018511843","display_name":"Daniel Meister","orcid":"https://orcid.org/0000-0002-3149-1442"},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Meister","raw_affiliation_strings":["Theoretische Informatik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany","Universit\u00e4t W\u00fcrzburg#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretische Informatik, Universit\u00e4t W\u00fcrzburg, 97074, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"Universit\u00e4t W\u00fcrzburg#TAB#","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3549,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.60502637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"249","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9990000128746033,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.8161619901657104},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6895096302032471},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.662663459777832},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6555948853492737},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6361319422721863},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6142916679382324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5962896347045898},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.5835224986076355},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5320345759391785},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5160779356956482},{"id":"https://openalex.org/keywords/polynomial-hierarchy","display_name":"Polynomial hierarchy","score":0.486736536026001},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.473483681678772},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4713572859764099},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.4541087746620178},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4237551689147949},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.42355862259864807},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41684091091156006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41277840733528137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3728550672531128},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09926092624664307}],"concepts":[{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.8161619901657104},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6895096302032471},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.662663459777832},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6555948853492737},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6361319422721863},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6142916679382324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5962896347045898},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5835224986076355},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5320345759391785},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5160779356956482},{"id":"https://openalex.org/C2776013622","wikidata":"https://www.wikidata.org/wiki/Q2103021","display_name":"Polynomial hierarchy","level":3,"score":0.486736536026001},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.473483681678772},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4713572859764099},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.4541087746620178},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4237551689147949},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.42355862259864807},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41684091091156006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41277840733528137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3728550672531128},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09926092624664307},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"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/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"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":2,"locations":[{"id":"doi:10.1007/978-3-540-45138-9_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45138-9_19","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":"pmh:oai:CiteSeerX.psu:10.1.1.7.1961","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.1961","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp-info4.informatik.uni-wuerzburg.de/pub/TRs/tr299.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1553952730","https://openalex.org/W1569394207","https://openalex.org/W1569871753","https://openalex.org/W1969949312","https://openalex.org/W1986660923","https://openalex.org/W1996184580","https://openalex.org/W1999384241","https://openalex.org/W2011112377","https://openalex.org/W2013587815","https://openalex.org/W2018099718","https://openalex.org/W2020029222","https://openalex.org/W2045924252","https://openalex.org/W2050981589","https://openalex.org/W2059442002","https://openalex.org/W2065251436","https://openalex.org/W2077202644","https://openalex.org/W2083553352","https://openalex.org/W2089914953","https://openalex.org/W2096390054","https://openalex.org/W2100570449","https://openalex.org/W2125056957","https://openalex.org/W2131798840","https://openalex.org/W2148957455","https://openalex.org/W2502507885","https://openalex.org/W4234891673","https://openalex.org/W4254548979"],"related_works":["https://openalex.org/W2584059692","https://openalex.org/W270168689","https://openalex.org/W1589381382","https://openalex.org/W2000805093","https://openalex.org/W2082636129","https://openalex.org/W2132910148","https://openalex.org/W2075449032","https://openalex.org/W2086025566","https://openalex.org/W1676587966","https://openalex.org/W2415632638"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}