{"id":"https://openalex.org/W4390479467","doi":"https://doi.org/10.2478/forma-2023-0019","title":"Integration of Game Theoretic and Tree Theoretic Approaches to Conway Numbers","display_name":"Integration of Game Theoretic and Tree Theoretic Approaches to Conway Numbers","publication_year":2023,"publication_date":"2023-09-01","ids":{"openalex":"https://openalex.org/W4390479467","doi":"https://doi.org/10.2478/forma-2023-0019"},"language":"en","primary_location":{"id":"doi:10.2478/forma-2023-0019","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0019","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0019","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://sciendo.com/pdf/10.2478/forma-2023-0019","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054103364","display_name":"Karol P\u0105k","orcid":"https://orcid.org/0000-0002-7099-1669"},"institutions":[{"id":"https://openalex.org/I245364917","display_name":"University of Bia\u0142ystok","ror":"https://ror.org/01qaqcf60","country_code":"PL","type":"education","lineage":["https://openalex.org/I245364917"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Karol P\u0105k","raw_affiliation_strings":["Faculty of Computer Science , University of Bia\u0142ystok , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science , University of Bia\u0142ystok , Poland","institution_ids":["https://openalex.org/I245364917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054103364"],"corresponding_institution_ids":["https://openalex.org/I245364917"],"apc_list":null,"apc_paid":null,"fwci":0.8284,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79388593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"31","issue":"1","first_page":"205","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9976000189781189,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.9976000189781189,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9535999894142151,"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/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9333999752998352,"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/mathematics","display_name":"Mathematics","score":0.7499499917030334},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5548530220985413},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5506274104118347},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5386727452278137},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.43326056003570557},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4279450476169586},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4183098077774048},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34331464767456055},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28233957290649414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21710094809532166},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15585443377494812},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1377362310886383},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07118108868598938}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7499499917030334},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5548530220985413},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5506274104118347},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5386727452278137},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.43326056003570557},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4279450476169586},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4183098077774048},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34331464767456055},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28233957290649414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21710094809532166},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15585443377494812},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1377362310886383},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07118108868598938},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/forma-2023-0019","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0019","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0019","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:repozytorium.uwb.edu.pl:11320/15857","is_oa":true,"landing_page_url":"http://hdl.handle.net/11320/15857","pdf_url":"https://repozytorium.uwb.edu.pl/jspui/bitstream/11320/15857/1/Integration-of-Game-Theoretic-and-Tree-Theoretic-Approaches-to-Conway-Numbers.pdf","source":{"id":"https://openalex.org/S4306400933","display_name":"The Repository of University in Bialystok (University in Bialystok)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210094198","host_organization_name":"University Clinical Hospital In Bialystok","host_organization_lineage":["https://openalex.org/I4210094198"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.2478/forma-2023-0019","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0019","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0019","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4390479467.pdf"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W563957339","https://openalex.org/W1550102335","https://openalex.org/W2017964937","https://openalex.org/W2137263714","https://openalex.org/W2964319768","https://openalex.org/W4252612324","https://openalex.org/W4390479513"],"related_works":["https://openalex.org/W4234874385","https://openalex.org/W2323648130","https://openalex.org/W2157140558","https://openalex.org/W2378782423","https://openalex.org/W2388988621","https://openalex.org/W2357797405","https://openalex.org/W2366623913","https://openalex.org/W2374905595","https://openalex.org/W2516693588","https://openalex.org/W2116112408"],"abstract_inverted_index":{"Summary":[0],"In":[1],"this":[2],"article,":[3],"we":[4],"develop":[5],"our":[6],"formalised":[7],"concept":[8],"of":[9,29,33,46,70],"Conway":[10,71],"numbers":[11],"as":[12],"outlined":[13],"in":[14,24,56],"[9].":[15],"We":[16,38],"focus":[17],"mainly":[18],"pre-order":[19],"properties,":[20],"birthday":[21],"arithmetic":[22],"contained":[23],"the":[25,44,50,54,61,65],"Chapter":[26],"1,":[27],"Properties":[28],"Order":[30],"and":[31,67],"Equality":[32],"John":[34],"Conway\u2019s":[35],"seminal":[36],"book.":[37],"also":[39],"propose":[40],"a":[41],"method":[42],"for":[43,64],"selection":[45],"class":[47],"representatives":[48],"respecting":[49],"relation":[51],"defined":[52],"by":[53],"pre-ordering":[55],"order":[57],"to":[58],"facilitate":[59],"combining":[60],"results":[62],"obtained":[63],"original":[66],"tree-theoretic":[68],"definitions":[69],"numbers.":[72]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}