{"id":"https://openalex.org/W3126750858","doi":"https://doi.org/10.1142/s0129054121410033","title":"Zero-Avoiding Transducers, Length Separable Relations, and the Rational Asymmetric Partition Problem","display_name":"Zero-Avoiding Transducers, Length Separable Relations, and the Rational Asymmetric Partition Problem","publication_year":2021,"publication_date":"2021-02-06","ids":{"openalex":"https://openalex.org/W3126750858","doi":"https://doi.org/10.1142/s0129054121410033","mag":"3126750858"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054121410033","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121410033","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","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/A5046508856","display_name":"Stavros Konstantinidis","orcid":"https://orcid.org/0000-0002-6628-067X"},"institutions":[{"id":"https://openalex.org/I66890659","display_name":"Saint Mary's University","ror":"https://ror.org/010zh7098","country_code":"CA","type":"education","lineage":["https://openalex.org/I66890659"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Stavros Konstantinidis","raw_affiliation_strings":["Mathematics and Computing Science, Saint Mary\u2019s University, 923 Robie Str., Halifax, Nova Scotia B3H 3C3, Canada"],"raw_orcid":"https://orcid.org/0000-0002-6628-067X","affiliations":[{"raw_affiliation_string":"Mathematics and Computing Science, Saint Mary\u2019s University, 923 Robie Str., Halifax, Nova Scotia B3H 3C3, Canada","institution_ids":["https://openalex.org/I66890659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089237824","display_name":"Mitja Mastnak","orcid":null},"institutions":[{"id":"https://openalex.org/I66890659","display_name":"Saint Mary's University","ror":"https://ror.org/010zh7098","country_code":"CA","type":"education","lineage":["https://openalex.org/I66890659"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mitja Mastnak","raw_affiliation_strings":["Mathematics and Computing Science, Saint Mary\u2019s University, 923 Robie Str., Halifax, Nova Scotia B3H 3C3, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computing Science, Saint Mary\u2019s University, 923 Robie Str., Halifax, Nova Scotia B3H 3C3, Canada","institution_ids":["https://openalex.org/I66890659"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071368648","display_name":"Juraj \u0160ebej","orcid":"https://orcid.org/0009-0002-6501-1096"},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Juraj \u0160ebej","raw_affiliation_strings":["Institute of Computer Science, Faculty of Science, P. J. \u0160af\u00e1rik University, Ko\u0161ice, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Faculty of Science, P. J. \u0160af\u00e1rik University, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I204881574"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046508856"],"corresponding_institution_ids":["https://openalex.org/I66890659"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04308898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"05","first_page":"455","last_page":"480"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9977999925613403,"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/separable-space","display_name":"Separable space","score":0.8097965121269226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6621048450469971},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6002366542816162},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5827922821044922},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5283848643302917},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.47053250670433044},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4692494869232178},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.4459567070007324},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4369155168533325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40146252512931824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17303723096847534},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.065777987241745}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.8097965121269226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6621048450469971},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6002366542816162},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5827922821044922},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5283848643302917},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.47053250670433044},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4692494869232178},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.4459567070007324},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4369155168533325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40146252512931824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17303723096847534},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.065777987241745},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054121410033","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121410033","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W7861317","https://openalex.org/W1505482284","https://openalex.org/W1848804798","https://openalex.org/W2024532720","https://openalex.org/W2031362591","https://openalex.org/W2620926566","https://openalex.org/W2963369738","https://openalex.org/W2965104913","https://openalex.org/W4206635485","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W4288313061","https://openalex.org/W2952928706","https://openalex.org/W29633042","https://openalex.org/W2081900870","https://openalex.org/W94411513","https://openalex.org/W2009525028","https://openalex.org/W2377770720","https://openalex.org/W2160013978","https://openalex.org/W2027425357","https://openalex.org/W2045141709"],"abstract_inverted_index":{"We":[0,59,122,136],"consider":[1],"the":[2,47,61,72,82,95],"problem":[3,24,62,128],"of":[4,31,55,76,84,97],"partitioning":[5,147],"effectively":[6],"a":[7,28],"given":[8],"irreflexive":[9],"(and":[10],"possibly":[11],"symmetric)":[12],"rational":[13,21],"relation":[14],"[Formula:":[15,34,43,56,64,77,87,91,100,104,130],"see":[16,35,44,57,65,78,88,92,101,105,131],"text]":[17,66,79,89,102,132],"into":[18,38],"two":[19,74],"asymmetric":[20,53],"relations.":[22,121],"This":[23,107],"is":[25,41,67,109,133],"motivated":[26],"by":[27,111],"recent":[29],"method":[30,48],"embedding":[32],"an":[33,52,126],"text]-independent":[36],"language":[37],"one":[39],"that":[40,71],"maximal":[42],"text]-independent,":[45],"where":[46,90,103],"requires":[49],"to":[50],"use":[51],"partition":[54],"text].":[58,106],"solve":[60],"when":[63,129],"length-separable,":[68],"which":[69,144],"means":[70],"following":[73],"subsets":[75],"are":[80],"rational:":[81],"subset":[83,96],"word":[85,98],"pairs":[86,99],"text];":[93],"and":[94,117],"property":[108],"satisfied":[110],"all":[112,114,118],"recognizable,":[113],"left":[115],"synchronous,":[116],"right":[119],"synchronous":[120],"leave":[123],"it":[124],"as":[125],"open":[127],"not":[134],"length-separable.":[135],"also":[137],"define":[138],"zero-avoiding":[139],"transducers":[140],"for":[141],"length-separable":[142],"relations,":[143],"makes":[145],"our":[146],"solution":[148],"constructive.":[149]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
