{"id":"https://openalex.org/W4221129131","doi":"https://doi.org/10.1007/s11787-022-00300-0","title":"From Truth Degree Comparison Games to Sequents-of-Relations Calculi for G\u00f6del Logic","display_name":"From Truth Degree Comparison Games to Sequents-of-Relations Calculi for G\u00f6del Logic","publication_year":2022,"publication_date":"2022-03-07","ids":{"openalex":"https://openalex.org/W4221129131","doi":"https://doi.org/10.1007/s11787-022-00300-0"},"language":"en","primary_location":{"id":"doi:10.1007/s11787-022-00300-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11787-022-00300-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11787-022-00300-0.pdf","source":{"id":"https://openalex.org/S120609085","display_name":"Logica Universalis","issn_l":"1661-8297","issn":["1661-8297","1661-8300"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logica Universalis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11787-022-00300-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048207102","display_name":"Christian G. Ferm\u00fcller","orcid":"https://orcid.org/0000-0003-2932-5477"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Christian Ferm\u00fcller","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0003-2932-5477","affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109514909","display_name":"Timo Lang","orcid":"https://orcid.org/0000-0002-8257-968X"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Timo Lang","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078518024","display_name":"Alexandra Pavlova","orcid":"https://orcid.org/0000-0002-1877-1167"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Alexandra Pavlova","raw_affiliation_strings":["Technische Universit\u00e4t Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-1877-1167","affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078518024"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":0.1244,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53091971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"1-2","first_page":"221","last_page":"235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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/T10126","display_name":"Logic, programming, and type systems","score":0.9986000061035156,"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/mathematical-proof","display_name":"Mathematical proof","score":0.6251552104949951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6062862873077393},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5779869556427002},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4861311614513397},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.4145911931991577},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4122593104839325},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3401133418083191},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29048454761505127},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.2103782296180725}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6251552104949951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6062862873077393},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5779869556427002},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4861311614513397},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.4145911931991577},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4122593104839325},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3401133418083191},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29048454761505127},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.2103782296180725},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/s11787-022-00300-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11787-022-00300-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11787-022-00300-0.pdf","source":{"id":"https://openalex.org/S120609085","display_name":"Logica Universalis","issn_l":"1661-8297","issn":["1661-8297","1661-8300"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logica Universalis","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11787-022-00300-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11787-022-00300-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11787-022-00300-0.pdf","source":{"id":"https://openalex.org/S120609085","display_name":"Logica Universalis","issn_l":"1661-8297","issn":["1661-8297","1661-8300"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logica Universalis","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1726192473","display_name":"From Semantic Games to Analytic Calculi \u2013 and Back","funder_award_id":"P32684","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G1975729292","display_name":null,"funder_award_id":"W1255-N23","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8680849391","display_name":"Logical Methods in Computer Science","funder_award_id":"W1255","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4221129131.pdf","grobid_xml":"https://content.openalex.org/works/W4221129131.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W610780676","https://openalex.org/W653873681","https://openalex.org/W1479710971","https://openalex.org/W1576841988","https://openalex.org/W1971043428","https://openalex.org/W1996660205","https://openalex.org/W2037330115","https://openalex.org/W2046352002","https://openalex.org/W2062692391","https://openalex.org/W2088476380","https://openalex.org/W2096482476","https://openalex.org/W2114225134","https://openalex.org/W2163609805","https://openalex.org/W2168945720","https://openalex.org/W4245546974","https://openalex.org/W4249736722","https://openalex.org/W4250746159"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W1996614773","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W1586813864"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"introduce":[2],"a":[3,44,54],"game":[4,36,40],"for":[5],"(extended)":[6],"G\u00f6del":[7],"logic":[8],"where":[9,47],"the":[10,17,32],"players\u2019":[11],"interaction":[12],"stepwise":[13],"reduces":[14],"claims":[15],"about":[16],"relative":[18],"order":[19],"of":[20,23,34],"truth":[21,28],"degrees":[22],"complex":[24],"formulas":[25],"to":[26,43,51],"atomic":[27],"comparison":[29],"claims.":[30],"Using":[31],"concept":[33],"disjunctive":[35],"states":[37],"this":[38],"semantic":[39],"is":[41],"lifted":[42],"provability":[45],"game,":[46],"winning":[48],"strategies":[49],"correspond":[50],"proofs":[52],"in":[53],"sequents-of-relations":[55],"calculus.":[56]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
