{"id":"https://openalex.org/W2034349453","doi":"https://doi.org/10.2178/jsl/1286198158","title":"The full binary tree cannot be interpreted in a chain","display_name":"The full binary tree cannot be interpreted in a chain","publication_year":2010,"publication_date":"2010-10-04","ids":{"openalex":"https://openalex.org/W2034349453","doi":"https://doi.org/10.2178/jsl/1286198158","mag":"2034349453"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1286198158","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1286198158","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":"The 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/A5007681536","display_name":"Alexander Rabinovich","orcid":"https://orcid.org/0000-0002-1460-2358"},"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":true,"raw_author_name":"Alexander Rabinovich","raw_affiliation_strings":["The Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel. E-mail:","The Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel. E-mail: rabinoa@post.tau.ac.il"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel. E-mail:","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"The Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel. E-mail: rabinoa@post.tau.ac.il","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007681536"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.6766,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70662317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"75","issue":"4","first_page":"1489","last_page":"1498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9980000257492065,"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":0.9980000257492065,"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":0.994700014591217,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.7085041403770447},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.673231303691864},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.619343101978302},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5800544619560242},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5775923728942871},{"id":"https://openalex.org/keywords/random-binary-tree","display_name":"Random binary tree","score":0.49881839752197266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4690682590007782},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4424671232700348},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.356461763381958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3547644019126892},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16001591086387634},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15952837467193604},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0541459321975708},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.0449887216091156}],"concepts":[{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.7085041403770447},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.673231303691864},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.619343101978302},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5800544619560242},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5775923728942871},{"id":"https://openalex.org/C11829167","wikidata":"https://www.wikidata.org/wiki/Q751292","display_name":"Random binary tree","level":3,"score":0.49881839752197266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4690682590007782},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4424671232700348},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.356461763381958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3547644019126892},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16001591086387634},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15952837467193604},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0541459321975708},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0449887216091156},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1286198158","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1286198158","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":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1286198158","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1286198158","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/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W578409227","https://openalex.org/W1511526676","https://openalex.org/W1956775607","https://openalex.org/W1965611063","https://openalex.org/W1983705661","https://openalex.org/W2059001666","https://openalex.org/W2062792526","https://openalex.org/W2122146934","https://openalex.org/W2127214181","https://openalex.org/W2131663704","https://openalex.org/W2138856440","https://openalex.org/W2156066381","https://openalex.org/W2162583406","https://openalex.org/W6641740895"],"related_works":["https://openalex.org/W2951678044","https://openalex.org/W1510719821","https://openalex.org/W2123024824","https://openalex.org/W4300450359","https://openalex.org/W3022865202","https://openalex.org/W2117536196","https://openalex.org/W2382364329","https://openalex.org/W2501849745","https://openalex.org/W2019778981","https://openalex.org/W3169685561"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3],"for":[4],"no":[5],"chain":[6],"C":[7,20],"there":[8],"is":[9],"a":[10],"monadic-second":[11],"order":[12],"interpretation":[13],"of":[14],"the":[15],"full":[16],"binary":[17],"tree":[18],"in":[19],".":[21]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
