{"id":"https://openalex.org/W2096362687","doi":"https://doi.org/10.2307/2267211","title":"On the reduction of the decision problem","display_name":"On the reduction of the decision problem","publication_year":1947,"publication_date":"1947-09-01","ids":{"openalex":"https://openalex.org/W2096362687","doi":"https://doi.org/10.2307/2267211","mag":"2096362687"},"language":"en","primary_location":{"id":"doi:10.2307/2267211","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2267211","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":"Journal 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/A5005826863","display_name":"L\u00e1szl\u00f3 Kalm\u00e1r","orcid":null},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]},{"id":"https://openalex.org/I4210089114","display_name":"Bolyai Foundation","ror":"https://ror.org/0098ca762","country_code":"RO","type":"other","lineage":["https://openalex.org/I4210089114"]}],"countries":["HU","RO"],"is_corresponding":false,"raw_author_name":"L\u00e1szl\u00f3 Kalm\u00e1r","raw_affiliation_strings":["The Bolyai Institute, University Of Szeged","The Bolyai Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Bolyai Institute, University Of Szeged","institution_ids":["https://openalex.org/I227486990"]},{"raw_affiliation_string":"The Bolyai Institute","institution_ids":["https://openalex.org/I4210089114"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049188979","display_name":"J\u00e1nos Sur\u00e1nyi","orcid":null},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]},{"id":"https://openalex.org/I4210089114","display_name":"Bolyai Foundation","ror":"https://ror.org/0098ca762","country_code":"RO","type":"other","lineage":["https://openalex.org/I4210089114"]}],"countries":["HU","RO"],"is_corresponding":false,"raw_author_name":"J\u00e1nos Sur\u00e1nyi","raw_affiliation_strings":["The Bolyai Institute, University Of Szeged","The Bolyai Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Bolyai Institute, University Of Szeged","institution_ids":["https://openalex.org/I227486990"]},{"raw_affiliation_string":"The Bolyai Institute","institution_ids":["https://openalex.org/I4210089114"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.8333,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89812332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"3","first_page":"65","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9472000002861023,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9472000002861023,"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":0.9233999848365784,"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/ackermann-function","display_name":"Ackermann function","score":0.8745629787445068},{"id":"https://openalex.org/keywords/prefix","display_name":"Prefix","score":0.8074234127998352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6626840829849243},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5599314570426941},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4807424545288086},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.4762299656867981},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4454590976238251},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.4438351094722748},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4418947994709015},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.4389510154724121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22239884734153748},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2173096239566803}],"concepts":[{"id":"https://openalex.org/C33436860","wikidata":"https://www.wikidata.org/wiki/Q341835","display_name":"Ackermann function","level":3,"score":0.8745629787445068},{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.8074234127998352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6626840829849243},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5599314570426941},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4807424545288086},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.4762299656867981},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4454590976238251},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.4438351094722748},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4418947994709015},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.4389510154724121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22239884734153748},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2173096239566803},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2267211","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2267211","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183396165","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183396165","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1977939111","https://openalex.org/W2006653495","https://openalex.org/W2014988510"],"related_works":["https://openalex.org/W2076743759","https://openalex.org/W4235144492","https://openalex.org/W2756792282","https://openalex.org/W745662294","https://openalex.org/W3104288886","https://openalex.org/W1543051890","https://openalex.org/W1566830909","https://openalex.org/W2585890227","https://openalex.org/W71573974","https://openalex.org/W207257116"],"abstract_inverted_index":{"In":[0,123],"the":[1,5,18,41,76,83,91,98,102,106,124,146,151],"first":[2,19,34,65,107,139],"paper":[3,126],"of":[4,10,17,40,57,60,75,85,105,113,148],"above":[6,77],"main":[7],"title,":[8],"one":[9],"us":[11],"has":[12,150],"proved":[13],"that":[14,63,137],"any":[15,64,138],"formula":[16,36,67,141],"order":[20,35,66,108,140],"predicate":[21,50,86],"calculus":[22],"is":[23,54,68,142],"equivalent":[24,69,143],"(as":[25],"to":[26,31,70,101,144],"being":[27],"satisfiable":[28],"or":[29],"not)":[30],"some":[32],"binary":[33],"having":[37],"a":[38,48,58,73,111,114],"prefix":[39,74,112,147],"form":[42,78,116,152],"(Ex1)(x2)(Ex3)":[43],"\u2026":[44],"(xn)":[45],"and":[46],"containing":[47],"single":[49],"variable.":[51],"This":[52],"result":[53],"an":[55],"improvement":[56],"theorem":[59,135],"Ackermann":[61],"stating":[62,136],"another":[71,145],"with":[72,110],"but":[79],"saying":[80],"nothing":[81],"about":[82],"number":[84],"variables":[87],"appearing":[88],"therein.":[89],"Hence":[90],"question":[92,104,131],"arises":[93],"if":[94],"other":[95],"theorems":[96],"reducing":[97],"decision":[99],"problem":[100],"satisfiability":[103],"formulas":[109],"special":[115],"can":[117],"be":[118],"improved":[119],"in":[120],"like":[121],"manner.":[122],"present":[125],"we":[127],"shall":[128],"answer":[129],"this":[130],"concerning":[132],"G\u00f6del's":[133],"reduction":[134],"which":[149]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
