{"id":"https://openalex.org/W2074637445","doi":"https://doi.org/10.1142/s0129626412400117","title":"DECIDABILITY, UNDECIDABILITY, AND G\u00d6DEL'S INCOMPLETENESS IN RELATIVITY THEORIES","display_name":"DECIDABILITY, UNDECIDABILITY, AND G\u00d6DEL'S INCOMPLETENESS IN RELATIVITY THEORIES","publication_year":2012,"publication_date":"2012-07-06","ids":{"openalex":"https://openalex.org/W2074637445","doi":"https://doi.org/10.1142/s0129626412400117","mag":"2074637445"},"language":"en","primary_location":{"id":"doi:10.1142/s0129626412400117","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626412400117","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","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/A5080876991","display_name":"Hajnal Andr\u00e9ka","orcid":"https://orcid.org/0000-0002-7327-4702"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"HAJNAL ANDR\u00c9KA","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, 13-15 Re\u00e1ltanoda u. Budapest, 1053, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, 13-15 Re\u00e1ltanoda u. Budapest, 1053, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056674231","display_name":"Judit X. Madar\u00e1sz","orcid":null},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"JUDIT MADAR\u00c1SZ","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, 13-15 Re\u00e1ltanoda u. Budapest, 1053, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, 13-15 Re\u00e1ltanoda u. Budapest, 1053, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003820161","display_name":"Istv\u00e0n N\u00e9meti","orcid":"https://orcid.org/0000-0003-3023-0192"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"ISTV\u00c1N N\u00c9METI","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, 13-15 Re\u00e1ltanoda u. Budapest, 1053, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, 13-15 Re\u00e1ltanoda u. Budapest, 1053, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.13240478,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"03","first_page":"1240011","last_page":"1240011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/decidability","display_name":"Decidability","score":0.8876718282699585},{"id":"https://openalex.org/keywords/theory-of-relativity","display_name":"Theory of relativity","score":0.7444316148757935},{"id":"https://openalex.org/keywords/emission-theory","display_name":"Emission theory","score":0.4620937407016754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43777045607566833},{"id":"https://openalex.org/keywords/model-theory","display_name":"Model theory","score":0.4220367670059204},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4088051915168762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38042151927948},{"id":"https://openalex.org/keywords/four-force","display_name":"Four-force","score":0.2796154022216797},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.20206096768379211},{"id":"https://openalex.org/keywords/test-theories-of-special-relativity","display_name":"Test theories of special relativity","score":0.19996917247772217},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14030098915100098}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8876718282699585},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.7444316148757935},{"id":"https://openalex.org/C83133824","wikidata":"https://www.wikidata.org/wiki/Q12008641","display_name":"Emission theory","level":5,"score":0.4620937407016754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43777045607566833},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.4220367670059204},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4088051915168762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38042151927948},{"id":"https://openalex.org/C200028538","wikidata":"https://www.wikidata.org/wiki/Q5474919","display_name":"Four-force","level":3,"score":0.2796154022216797},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.20206096768379211},{"id":"https://openalex.org/C79413701","wikidata":"https://www.wikidata.org/wiki/Q2406566","display_name":"Test theories of special relativity","level":4,"score":0.19996917247772217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14030098915100098}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129626412400117","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626412400117","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.47999998927116394,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8973570966","display_name":null,"funder_award_id":"EP/E064183/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W285105210","https://openalex.org/W318997321","https://openalex.org/W324872460","https://openalex.org/W623765668","https://openalex.org/W1508667957","https://openalex.org/W1556012730","https://openalex.org/W1572451808","https://openalex.org/W1595469144","https://openalex.org/W1984174892","https://openalex.org/W2963542336","https://openalex.org/W3040959987","https://openalex.org/W4229645131","https://openalex.org/W4239479692"],"related_works":["https://openalex.org/W1602107066","https://openalex.org/W2049591942","https://openalex.org/W2053762111","https://openalex.org/W2440791454","https://openalex.org/W4297670065","https://openalex.org/W1618267488","https://openalex.org/W4205250428","https://openalex.org/W2159221465","https://openalex.org/W321640458","https://openalex.org/W2108448248"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,15,35,57],"investigate":[4],"the":[5,20,24,38,41,48,62],"logical":[6],"decidability":[7],"and":[8],"undecidability":[9],"properties":[10],"of":[11,23,40,64,70],"relativity":[12,27,65],"theories.":[13],"If":[14],"include":[16],"into":[17],"our":[18,44],"theory":[19,22,28,66],"whole":[21],"reals,":[25,49],"then":[26,56],"still":[29],"can":[30],"be":[31,47,54],"decidable.":[32],"However,":[33],"if":[34],"actually":[36],"assume":[37],"structure":[39],"quantities":[42],"in":[43,61],"models":[45],"to":[46,53],"or":[50],"at":[51],"least":[52],"Archimedean,":[55],"get":[58],"possible":[59],"predictions":[60],"language":[63],"which":[67],"are":[68],"independent":[69],"ZF":[71],"set":[72],"theory.":[73]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}