{"id":"https://openalex.org/W2169192695","doi":"https://doi.org/10.2178/bsl/1243948484","title":"When are Two Algorithms the Same?","display_name":"When are Two Algorithms the Same?","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2169192695","doi":"https://doi.org/10.2178/bsl/1243948484","mag":"2169192695"},"language":"en","primary_location":{"id":"doi:10.2178/bsl/1243948484","is_oa":false,"landing_page_url":"https://doi.org/10.2178/bsl/1243948484","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","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/A5043571692","display_name":"Andreas Blass","orcid":"https://orcid.org/0000-0001-7445-2980"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andreas Blass","raw_affiliation_strings":["Mathematics Department, University of Michigan, Ann Arbor, MI 48109\u20131043, U.S.A.E-mail:"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Michigan, Ann Arbor, MI 48109\u20131043, U.S.A.E-mail:","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039993352","display_name":"Nachum Dershowitz","orcid":"https://orcid.org/0000-0003-0363-2735"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Nachum Dershowitz","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, 69978 Ramat Aviv, IsraelE-mail:"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, 69978 Ramat Aviv, IsraelE-mail:","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065430432","display_name":"Yuri Gurevich","orcid":"https://orcid.org/0000-0001-7808-9293"},"institutions":[{"id":"https://openalex.org/I4210124949","display_name":"Microsoft Research (India)","ror":"https://ror.org/02w7f3w92","country_code":"IN","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210124949"]},{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["IN","US"],"is_corresponding":false,"raw_author_name":"Yuri Gurevich","raw_affiliation_strings":["Microsoft Research, One Microsoft Way, Redmond, Wa 98052, U.S.A.E-mail:"],"affiliations":[{"raw_affiliation_string":"Microsoft Research, One Microsoft Way, Redmond, Wa 98052, U.S.A.E-mail:","institution_ids":["https://openalex.org/I1290206253","https://openalex.org/I4210124949"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043571692"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":3.085,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.91940286,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"15","issue":"2","first_page":"145","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T11727","display_name":"Advanced Algebra and Logic","score":0.9959999918937683,"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":0.9932000041007996,"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/equivalence-relation","display_name":"Equivalence relation","score":0.825022280216217},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7324275374412537},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.7232789397239685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5554260611534119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5313748717308044},{"id":"https://openalex.org/keywords/logical-equivalence","display_name":"Logical equivalence","score":0.4473669230937958},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.4292793571949005},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4177548289299011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40492263436317444},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.328582227230072},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32381099462509155},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28452804684638977},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14592483639717102},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08565056324005127}],"concepts":[{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.825022280216217},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7324275374412537},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.7232789397239685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5554260611534119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5313748717308044},{"id":"https://openalex.org/C70846408","wikidata":"https://www.wikidata.org/wiki/Q220433","display_name":"Logical equivalence","level":3,"score":0.4473669230937958},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.4292793571949005},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4177548289299011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40492263436317444},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.328582227230072},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32381099462509155},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28452804684638977},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14592483639717102},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08565056324005127},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/bsl/1243948484","is_oa":false,"landing_page_url":"https://doi.org/10.2178/bsl/1243948484","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.bsl/1243948484","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.bsl/1243948484","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":20,"referenced_works":["https://openalex.org/W143607683","https://openalex.org/W179373627","https://openalex.org/W1488086872","https://openalex.org/W1556453281","https://openalex.org/W1653380582","https://openalex.org/W1655990431","https://openalex.org/W1998333922","https://openalex.org/W2002241150","https://openalex.org/W2008901851","https://openalex.org/W2109703800","https://openalex.org/W2116849571","https://openalex.org/W2121136774","https://openalex.org/W2125537511","https://openalex.org/W2142611800","https://openalex.org/W2568721247","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2911865844","https://openalex.org/W2953402087","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2499765358","https://openalex.org/W2362240646","https://openalex.org/W2039452850","https://openalex.org/W4389081390","https://openalex.org/W2347992748","https://openalex.org/W2362689974","https://openalex.org/W2382586048","https://openalex.org/W2391201265","https://openalex.org/W2349728712","https://openalex.org/W2994711175"],"abstract_inverted_index":{"Abstract":[0],"People":[1],"usually":[2],"regard":[3],"algorithms":[4,23],"as":[5],"more":[6],"abstract":[7],"than":[8],"the":[9],"programs":[10,28],"that":[11,22,38],"implement":[12],"them.":[13],"The":[14],"natural":[15],"way":[16],"to":[17,31],"formalize":[18],"this":[19],"idea":[20],"is":[21],"are":[24],"equivalence":[25,34,41],"classes":[26],"of":[27],"with":[29],"respect":[30],"a":[32],"suitable":[33],"relation.":[35],"We":[36],"argue":[37],"no":[39],"such":[40],"relation":[42],"exists.":[43]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":17},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
