{"id":"https://openalex.org/W2067605792","doi":"https://doi.org/10.1109/fskd.2012.6233708","title":"Pumping lemma in lattice finite automata: A note","display_name":"Pumping lemma in lattice finite automata: A note","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W2067605792","doi":"https://doi.org/10.1109/fskd.2012.6233708","mag":"2067605792"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2012.6233708","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6233708","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-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/A5112926753","display_name":"Xiuhong Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089192","display_name":"Chengdu Institute of Information Technology (China)","ror":"https://ror.org/00bwfrq04","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210089192"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiuhong Guo","raw_affiliation_strings":["Sichuan TOP Vocational Institute of Information Technology, Chengdu, Sichuan, China","Sichuan TOP Vocational Institute of Information Technology, Chengdu, 611743, China"],"affiliations":[{"raw_affiliation_string":"Sichuan TOP Vocational Institute of Information Technology, Chengdu, Sichuan, China","institution_ids":[]},{"raw_affiliation_string":"Sichuan TOP Vocational Institute of Information Technology, Chengdu, 611743, China","institution_ids":["https://openalex.org/I4210089192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073174191","display_name":"Jiehong Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089192","display_name":"Chengdu Institute of Information Technology (China)","ror":"https://ror.org/00bwfrq04","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210089192"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiehong Xu","raw_affiliation_strings":["Sichuan TOP Vocational Institute of Information Technology, Chengdu, Sichuan, China","Sichuan TOP Vocational Institute of Information Technology, Chengdu, 611743, China"],"affiliations":[{"raw_affiliation_string":"Sichuan TOP Vocational Institute of Information Technology, Chengdu, Sichuan, China","institution_ids":[]},{"raw_affiliation_string":"Sichuan TOP Vocational Institute of Information Technology, Chengdu, 611743, China","institution_ids":["https://openalex.org/I4210089192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112926753"],"corresponding_institution_ids":["https://openalex.org/I4210089192"],"apc_list":null,"apc_paid":null,"fwci":0.3519,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6223904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"156","issue":null,"first_page":"128","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9991000294685364,"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/T10142","display_name":"Formal Methods in Verification","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lattice-gas-automaton","display_name":"Lattice gas automaton","score":0.7890728116035461},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5969054698944092},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.5743940472602844},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5690043568611145},{"id":"https://openalex.org/keywords/\u03c9-automaton","display_name":"\u03c9-automaton","score":0.5434778332710266},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5231286883354187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4866521954536438},{"id":"https://openalex.org/keywords/deterministic-finite-automaton","display_name":"Deterministic finite automaton","score":0.482302188873291},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.437206506729126},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4032595455646515},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.37824735045433044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26722362637519836},{"id":"https://openalex.org/keywords/stochastic-cellular-automaton","display_name":"Stochastic cellular automaton","score":0.2452300786972046},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18866124749183655},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.18668627738952637},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16258999705314636}],"concepts":[{"id":"https://openalex.org/C156890611","wikidata":"https://www.wikidata.org/wiki/Q3099721","display_name":"Lattice gas automaton","level":4,"score":0.7890728116035461},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5969054698944092},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.5743940472602844},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5690043568611145},{"id":"https://openalex.org/C92710233","wikidata":"https://www.wikidata.org/wiki/Q291256","display_name":"\u03c9-automaton","level":5,"score":0.5434778332710266},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5231286883354187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4866521954536438},{"id":"https://openalex.org/C104091681","wikidata":"https://www.wikidata.org/wiki/Q837528","display_name":"Deterministic finite automaton","level":3,"score":0.482302188873291},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.437206506729126},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4032595455646515},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.37824735045433044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26722362637519836},{"id":"https://openalex.org/C192499940","wikidata":"https://www.wikidata.org/wiki/Q17022326","display_name":"Stochastic cellular automaton","level":3,"score":0.2452300786972046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18866124749183655},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.18668627738952637},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16258999705314636},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2012.6233708","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6233708","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W183731963","https://openalex.org/W645449947","https://openalex.org/W1569419053","https://openalex.org/W1597473924","https://openalex.org/W1975037151","https://openalex.org/W2002089154","https://openalex.org/W2003892275","https://openalex.org/W2010658783","https://openalex.org/W2071188100","https://openalex.org/W2080187126","https://openalex.org/W4213325304","https://openalex.org/W4255417137","https://openalex.org/W4302339081","https://openalex.org/W6635650736"],"related_works":["https://openalex.org/W1975910189","https://openalex.org/W2537940722","https://openalex.org/W4386400090","https://openalex.org/W2368684504","https://openalex.org/W4205935260","https://openalex.org/W2950563206","https://openalex.org/W4300232377","https://openalex.org/W1550824632","https://openalex.org/W4297362790","https://openalex.org/W2033478883"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"pumping":[3,20],"lemma":[4,21],"for":[5],"lattice":[6,23,30,41],"finite":[7,24,31,42],"automata":[8,32,43],"is":[9],"set":[10],"up.":[11],"We":[12],"show":[13],"by":[14],"an":[15],"example":[16],"the":[17,29,37,40],"application":[18],"of":[19],"in":[22],"automata.":[25],"Furthermore,":[26],"we":[27],"investigate":[28],"with":[33,48],"\u03b5-moves,":[34],"and":[35,46],"present":[36],"equivalence":[38],"between":[39],"without":[44],"\u03b5-moves":[45],"those":[47],"\u03b5-moves.":[49]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}