{"id":"https://openalex.org/W1994920379","doi":"https://doi.org/10.1007/s001530050084","title":"A direct independence proof of Buchholz's Hydra Game on finite labeled trees","display_name":"A direct independence proof of Buchholz's Hydra Game on finite labeled trees","publication_year":1998,"publication_date":"1998-03-01","ids":{"openalex":"https://openalex.org/W1994920379","doi":"https://doi.org/10.1007/s001530050084","mag":"1994920379"},"language":"en","primary_location":{"id":"doi:10.1007/s001530050084","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050084","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical 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/A5013084507","display_name":"Masahiro Hamano","orcid":"https://orcid.org/0000-0001-8549-2304"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masahiro Hamano","raw_affiliation_strings":["Department of Philosophy, Keio University, Tokyo, Japan e-mail: hamano@abelard.flet.keio.ac.jp; mitsu@abelard.flet.keio.ac.jp\n, , , , , , JP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Keio University, Tokyo, Japan e-mail: hamano@abelard.flet.keio.ac.jp; mitsu@abelard.flet.keio.ac.jp\n, , , , , , JP","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014701461","display_name":"Mitsuhiro Okada","orcid":"https://orcid.org/0000-0001-9117-4935"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mitsuhiro Okada","raw_affiliation_strings":["Department of Philosophy, Keio University, Tokyo, Japan e-mail: hamano@abelard.flet.keio.ac.jp; mitsu@abelard.flet.keio.ac.jp\n, , , , , , JP","Department of Philosophy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Keio University, Tokyo, Japan e-mail: hamano@abelard.flet.keio.ac.jp; mitsu@abelard.flet.keio.ac.jp\n, , , , , , JP","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Department of Philosophy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.3864,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90554598,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"37","issue":"2","first_page":"67","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9790999889373779,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9776999950408936,"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/lernaean-hydra","display_name":"Lernaean Hydra","score":0.924100399017334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7523320317268372},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6224904656410217},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5813409090042114},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.5566419959068298},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.5446914434432983},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4329444468021393},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43059998750686646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34295564889907837},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3298186659812927},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22096911072731018},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05721369385719299}],"concepts":[{"id":"https://openalex.org/C34781881","wikidata":"https://www.wikidata.org/wiki/Q170379","display_name":"Lernaean Hydra","level":2,"score":0.924100399017334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7523320317268372},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6224904656410217},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5813409090042114},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.5566419959068298},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.5446914434432983},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4329444468021393},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43059998750686646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34295564889907837},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3298186659812927},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22096911072731018},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05721369385719299},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"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/C74916050","wikidata":"https://www.wikidata.org/wiki/Q841090","display_name":"Classics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s001530050084","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050084","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W790861174","https://openalex.org/W1971714145","https://openalex.org/W2063421309","https://openalex.org/W2081739832","https://openalex.org/W2092578871","https://openalex.org/W2126018011","https://openalex.org/W2143339929","https://openalex.org/W2336574378"],"related_works":["https://openalex.org/W2128040437","https://openalex.org/W2093732113","https://openalex.org/W2381253015","https://openalex.org/W2141305934","https://openalex.org/W2268219566","https://openalex.org/W2008467200","https://openalex.org/W2089100900","https://openalex.org/W2963237481","https://openalex.org/W2502095280","https://openalex.org/W1972942694"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
