{"id":"https://openalex.org/W1965531865","doi":"https://doi.org/10.1142/s0129054105003364","title":"RESTRICTED SETS OF TRAJECTORIES AND DECIDABILITY OF SHUFFLE DECOMPOSITIONS","display_name":"RESTRICTED SETS OF TRAJECTORIES AND DECIDABILITY OF SHUFFLE DECOMPOSITIONS","publication_year":2005,"publication_date":"2005-10-01","ids":{"openalex":"https://openalex.org/W1965531865","doi":"https://doi.org/10.1142/s0129054105003364","mag":"1965531865"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054105003364","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054105003364","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/A5002321933","display_name":"Michael Domaratzki","orcid":"https://orcid.org/0000-0001-9129-6676"},"institutions":[{"id":"https://openalex.org/I92688161","display_name":"Acadia University","ror":"https://ror.org/00839we02","country_code":"CA","type":"education","lineage":["https://openalex.org/I92688161"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"MICHAEL DOMARATZKI","raw_affiliation_strings":["Jodrey School of Computer Science,  Acadia University, Wolfville, Nova Scotia B4P 2R6, Canada","Jodrey School of Computer Science, Acadia University, Wolfville, Nova Scotia B4P 2R6, Canada"],"affiliations":[{"raw_affiliation_string":"Jodrey School of Computer Science,  Acadia University, Wolfville, Nova Scotia B4P 2R6, Canada","institution_ids":["https://openalex.org/I92688161"]},{"raw_affiliation_string":"Jodrey School of Computer Science, Acadia University, Wolfville, Nova Scotia B4P 2R6, Canada","institution_ids":["https://openalex.org/I92688161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009151151","display_name":"Kai Salomaa","orcid":"https://orcid.org/0000-0003-4582-7477"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"KAI SALOMAA","raw_affiliation_strings":["School of Computing,  Queen's University, Kingston, Ontario K7L 3N6, Canada","School of Computing Queen's University, Kingston, Ontario, K7L 3N6, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computing,  Queen's University, Kingston, Ontario K7L 3N6, Canada","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"School of Computing Queen's University, Kingston, Ontario, K7L 3N6, Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002321933"],"corresponding_institution_ids":["https://openalex.org/I92688161"],"apc_list":null,"apc_paid":null,"fwci":1.0541,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75115415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"05","first_page":"897","last_page":"912"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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/decidability","display_name":"Decidability","score":0.9508151412010193},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.9039754867553711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7151450514793396},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.681623101234436},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5569260716438293},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5399965643882751},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5340871214866638},{"id":"https://openalex.org/keywords/context-free-language","display_name":"Context-free language","score":0.456859827041626},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41139742732048035},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20659813284873962},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.2043459415435791},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.12687218189239502},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0980667769908905},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08161717653274536},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.05563187599182129}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.9508151412010193},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.9039754867553711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7151450514793396},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.681623101234436},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5569260716438293},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5399965643882751},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5340871214866638},{"id":"https://openalex.org/C198838072","wikidata":"https://www.wikidata.org/wiki/Q729271","display_name":"Context-free language","level":3,"score":0.456859827041626},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41139742732048035},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20659813284873962},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.2043459415435791},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.12687218189239502},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0980667769908905},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08161717653274536},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.05563187599182129},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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:10.1142/s0129054105003364","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054105003364","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":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W72126170","https://openalex.org/W2049848227","https://openalex.org/W2061015906","https://openalex.org/W2061970672","https://openalex.org/W2084807618","https://openalex.org/W2086119518","https://openalex.org/W2089182307","https://openalex.org/W2156204758","https://openalex.org/W2911540746","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W2187310579","https://openalex.org/W1517932751","https://openalex.org/W1545660605","https://openalex.org/W3033862888","https://openalex.org/W3080160234","https://openalex.org/W4287765525","https://openalex.org/W4294290144","https://openalex.org/W2115335123","https://openalex.org/W1965531865","https://openalex.org/W2401586919"],"abstract_inverted_index":{"The":[0],"decidability":[1,35],"of":[2,19,30,40,46,56,74],"the":[3,54,57],"shuffle":[4,25],"decomposition":[5],"problem":[6],"for":[7,37,64],"regular":[8,20,28,48,65],"languages":[9,21,66],"is":[10],"a":[11,27,69],"long":[12],"standing":[13],"open":[14],"question.":[15],"We":[16],"consider":[17,44],"decompositions":[18,45],"with":[22],"respect":[23],"to":[24],"along":[26,68],"set":[29,73],"trajectories":[31],"and":[32],"obtain":[33],"positive":[34],"results":[36],"restricted":[38],"classes":[39],"trajectories.":[41,75],"Also":[42],"we":[43,51],"unary":[47],"languages.":[49],"Finally,":[50],"establish":[52],"in":[53],"spirit":[55],"Dassow-Hinz":[58],"undecidability":[59,62],"result":[60,63],"an":[61],"shuffled":[67],"fixed":[70],"linear":[71],"context-free":[72]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}