{"id":"https://openalex.org/W3016962268","doi":"https://doi.org/10.1093/logcom/exaa022","title":"Elementary cellular automata and self-referential paradoxes","display_name":"Elementary cellular automata and self-referential paradoxes","publication_year":2020,"publication_date":"2020-02-13","ids":{"openalex":"https://openalex.org/W3016962268","doi":"https://doi.org/10.1093/logcom/exaa022","mag":"3016962268"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exaa022","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa022","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","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/A5073973458","display_name":"Ming Hsiung","orcid":"https://orcid.org/0000-0001-9037-2024"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"MING HSIUNG","raw_affiliation_strings":["School of Philosophy and Social Development, South China Normal University, Guangzhou 510631, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Philosophy and Social Development, South China Normal University, Guangzhou 510631, P. R. China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073973458"],"corresponding_institution_ids":["https://openalex.org/I187400657"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.1407,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49327832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"30","issue":"3","first_page":"745","last_page":"763"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":1.0,"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/T12162","display_name":"Cellular Automata and Applications","score":1.0,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9965999722480774,"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/T12029","display_name":"DNA and Biological Computing","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/elementary-cellular-automaton","display_name":"Elementary cellular automaton","score":0.7458236217498779},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.7316796779632568},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.7128701210021973},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6263263821601868},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.612643301486969},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5327940583229065},{"id":"https://openalex.org/keywords/block-cellular-automaton","display_name":"Block cellular automaton","score":0.48971179127693176},{"id":"https://openalex.org/keywords/mobile-automaton","display_name":"Mobile automaton","score":0.4828089475631714},{"id":"https://openalex.org/keywords/quantum-cellular-automaton","display_name":"Quantum cellular automaton","score":0.47788918018341064},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4706764817237854},{"id":"https://openalex.org/keywords/timed-automaton","display_name":"Timed automaton","score":0.4652555584907532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4647364616394043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43843579292297363},{"id":"https://openalex.org/keywords/stochastic-cellular-automaton","display_name":"Stochastic cellular automaton","score":0.42830508947372437},{"id":"https://openalex.org/keywords/asynchronous-cellular-automaton","display_name":"Asynchronous cellular automaton","score":0.42616719007492065},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.4226168096065521},{"id":"https://openalex.org/keywords/reversible-cellular-automaton","display_name":"Reversible cellular automaton","score":0.42044714093208313},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3405023217201233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27795350551605225},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.23561248183250427},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15423810482025146},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10971030592918396},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.07155728340148926},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.04960477352142334},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0494309663772583}],"concepts":[{"id":"https://openalex.org/C193261270","wikidata":"https://www.wikidata.org/wiki/Q1875447","display_name":"Elementary cellular automaton","level":5,"score":0.7458236217498779},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.7316796779632568},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.7128701210021973},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6263263821601868},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.612643301486969},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5327940583229065},{"id":"https://openalex.org/C63497236","wikidata":"https://www.wikidata.org/wiki/Q4927188","display_name":"Block cellular automaton","level":5,"score":0.48971179127693176},{"id":"https://openalex.org/C50348692","wikidata":"https://www.wikidata.org/wiki/Q6887056","display_name":"Mobile automaton","level":4,"score":0.4828089475631714},{"id":"https://openalex.org/C68576872","wikidata":"https://www.wikidata.org/wiki/Q4893239","display_name":"Quantum cellular automaton","level":3,"score":0.47788918018341064},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4706764817237854},{"id":"https://openalex.org/C30788636","wikidata":"https://www.wikidata.org/wiki/Q7805517","display_name":"Timed automaton","level":3,"score":0.4652555584907532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4647364616394043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43843579292297363},{"id":"https://openalex.org/C192499940","wikidata":"https://www.wikidata.org/wiki/Q17022326","display_name":"Stochastic cellular automaton","level":3,"score":0.42830508947372437},{"id":"https://openalex.org/C13743347","wikidata":"https://www.wikidata.org/wiki/Q4812203","display_name":"Asynchronous cellular automaton","level":5,"score":0.42616719007492065},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.4226168096065521},{"id":"https://openalex.org/C181266644","wikidata":"https://www.wikidata.org/wiki/Q7318293","display_name":"Reversible cellular automaton","level":5,"score":0.42044714093208313},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3405023217201233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27795350551605225},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.23561248183250427},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15423810482025146},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10971030592918396},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07155728340148926},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.04960477352142334},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0494309663772583}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exaa022","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa022","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W10261739","https://openalex.org/W189912205","https://openalex.org/W1496947201","https://openalex.org/W1498802410","https://openalex.org/W1984404340","https://openalex.org/W1994584977","https://openalex.org/W2000331453","https://openalex.org/W2001109406","https://openalex.org/W2022060148","https://openalex.org/W2031597339","https://openalex.org/W2036381718","https://openalex.org/W2036424138","https://openalex.org/W2037341021","https://openalex.org/W2049250683","https://openalex.org/W2049888592","https://openalex.org/W2059933820","https://openalex.org/W2092532147","https://openalex.org/W2096622381","https://openalex.org/W2109974256","https://openalex.org/W2313700940","https://openalex.org/W2530006810","https://openalex.org/W2571490773","https://openalex.org/W2595312935","https://openalex.org/W2620826411","https://openalex.org/W2888660803","https://openalex.org/W2905135108","https://openalex.org/W3200493159","https://openalex.org/W4236292373","https://openalex.org/W4237353415","https://openalex.org/W4243099941","https://openalex.org/W4388371151","https://openalex.org/W6607709005","https://openalex.org/W6738466686"],"related_works":["https://openalex.org/W4312206211","https://openalex.org/W1985126997","https://openalex.org/W1973634648","https://openalex.org/W4211227983","https://openalex.org/W4230368856","https://openalex.org/W1513303009","https://openalex.org/W1973235986","https://openalex.org/W4255696416","https://openalex.org/W2122763418","https://openalex.org/W639374312"],"abstract_inverted_index":{"Abstract":[0],"We":[1,55],"associate":[2],"an":[3],"elementary":[4],"cellular":[5,47,112],"automaton":[6,48],"with":[7],"a":[8,34,107],"set":[9,35],"of":[10,21,29,36,61,68,72,100,110],"self-referential":[11,37],"sentences,":[12],"whose":[13],"revision":[14],"process":[15,20,44],"is":[16,32,39],"exactly":[17],"the":[18,46,64,69,111],"evolution":[19,43],"that":[22,33],"automaton.":[23],"A":[24],"simple":[25],"but":[26],"useful":[27],"result":[28],"this":[30],"connection":[31],"sentences":[38],"paradoxical,":[40],"iff":[41],"(the":[42],"for)":[45],"in":[49,103],"question":[50],"has":[51],"no":[52],"fixed":[53,70],"points.":[54],"sort":[56],"out":[57],"several":[58],"distinct":[59],"kinds":[60],"paradoxes":[62,80,94],"by":[63],"existence":[65],"and":[66,81,95],"features":[67],"points":[71],"their":[73],"corresponding":[74],"automata.":[75,113],"They":[76],"are":[77],"finite":[78],"homogeneous":[79,83],"infinite":[82],"paradoxes.":[84,97],"In":[85],"some":[86],"weaker":[87],"sense,":[88],"we":[89],"will":[90],"also":[91],"introduce":[92],"no-no-sort":[93],"virtual":[96],"The":[98],"introduction":[99],"these":[101],"paradoxes,":[102],"turn,":[104],"leads":[105],"to":[106],"new":[108],"classification":[109]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}