{"id":"https://openalex.org/W2064816758","doi":"https://doi.org/10.2307/2274954","title":"On Ehrenfeucht-Fra\u00efss\u00e9 equivalence of linear orderings","display_name":"On Ehrenfeucht-Fra\u00efss\u00e9 equivalence of linear orderings","publication_year":1990,"publication_date":"1990-03-01","ids":{"openalex":"https://openalex.org/W2064816758","doi":"https://doi.org/10.2307/2274954","mag":"2064816758"},"language":"en","primary_location":{"id":"doi:10.2307/2274954","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274954","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/A5053167039","display_name":"Juha Oikkonen","orcid":null},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Juha Oikkonen","raw_affiliation_strings":["Department of Mathematics, University of Helsinki, 00100 Helsinki, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Helsinki, 00100 Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053167039"],"corresponding_institution_ids":["https://openalex.org/I133731052"],"apc_list":null,"apc_paid":null,"fwci":0.989,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75653223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"55","issue":"1","first_page":"65","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9968000054359436,"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/T11567","display_name":"semigroups and automata theory","score":0.9968000054359436,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8096766471862793},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.7168940305709839},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6122190952301025},{"id":"https://openalex.org/keywords/preorder","display_name":"Preorder","score":0.5710124373435974},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5524569153785706},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5316969156265259},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5022575855255127},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4873262345790863},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.47925257682800293},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.08158746361732483}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8096766471862793},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.7168940305709839},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6122190952301025},{"id":"https://openalex.org/C2333172","wikidata":"https://www.wikidata.org/wiki/Q1425985","display_name":"Preorder","level":2,"score":0.5710124373435974},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5524569153785706},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5316969156265259},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5022575855255127},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4873262345790863},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.47925257682800293},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.08158746361732483},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2274954","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274954","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/1183743185","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183743185","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":1,"referenced_works":["https://openalex.org/W198811082"],"related_works":["https://openalex.org/W2012407715","https://openalex.org/W906924629","https://openalex.org/W3047694654","https://openalex.org/W2030580634","https://openalex.org/W1598356149","https://openalex.org/W2380225810","https://openalex.org/W2378405769","https://openalex.org/W4247436880","https://openalex.org/W2027768296","https://openalex.org/W2314658975"],"abstract_inverted_index":{"Abstract":[0],"C.":[1],"Karp":[2],"has":[3,56,109],"shown":[4],"that":[5,97,105],"if":[6],"\u03b1":[7,13,15,27,29],"is":[8,18,75,126],"an":[9],"ordinal":[10],"with":[11,22],"\u03c9":[12,37,86,112],"=":[14],"and":[16,28,130,134],"A":[17,31],"a":[19,23,65,78,93,98,106],"linear":[20,107],"ordering":[21,108],"smallest":[24],"element,":[25],"then":[26],"\u2297":[30],"are":[32],"equivalent":[33],"in":[34,48,68,72,132],"L":[35],"\u221e":[36],"up":[38],"to":[39,57,76],"quantifer":[40],"rank":[41],"\u03b1.":[42,69],"This":[43],"result":[44,80,94],"can":[45],"be":[46,96],"expressed":[47],"terms":[49],"of":[50,64,84,91],"Ehrenfeucht-Fra\u00efss\u00e9":[51,82],"games":[52,83],"where":[53],"player":[54],"\u2200":[55],"make":[58],"additional":[59],"moves":[60],"by":[61,128],"choosing":[62],"elements":[63],"descending":[66,111],"sequence":[67],"Our":[70],"aim":[71],"this":[73],"paper":[74],"prove":[77],"similar":[79],"for":[81],"length":[85],"1":[87,113],".":[88],"One":[89],"implication":[90],"such":[92],"will":[95],"certain":[99],"infinite":[100],"quantifier":[101],"language":[102],"cannot":[103],"say":[104],"no":[110],"-sequences":[114],"(when":[115],"the":[116],"alphabet":[117],"contains":[118],"only":[119],"one":[120],"binary":[121],"relation":[122],"symbol).":[123],"Connected":[124],"work":[125],"done":[127],"Hyttinen":[129],"Oikkonen":[131],"[H]":[133],"[O].":[135]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}