{"id":"https://openalex.org/W2103794697","doi":"https://doi.org/10.1142/s021819679800017x","title":"Topology for Computations of Concurrent Automata","display_name":"Topology for Computations of Concurrent Automata","publication_year":1998,"publication_date":"1998-06-01","ids":{"openalex":"https://openalex.org/W2103794697","doi":"https://doi.org/10.1142/s021819679800017x","mag":"2103794697"},"language":"en","primary_location":{"id":"doi:10.1142/s021819679800017x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819679800017x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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 Algebra 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/A5077823013","display_name":"Dietrich Kuske","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dietrich Kuske","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, D-01062 Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, D-01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060669327","display_name":"R. M. Shortt","orcid":null},"institutions":[{"id":"https://openalex.org/I100538780","display_name":"Wesleyan University","ror":"https://ror.org/05h7xva58","country_code":"US","type":"education","lineage":["https://openalex.org/I100538780"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. M. Shortt","raw_affiliation_strings":["Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459-0128, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459-0128, USA","institution_ids":["https://openalex.org/I100538780"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077823013"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22672176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"08","issue":"03","first_page":"327","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","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/T11567","display_name":"semigroups and automata theory","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/T10126","display_name":"Logic, programming, and type systems","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9984999895095825,"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/mathematics","display_name":"Mathematics","score":0.812847912311554},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7730728387832642},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.734342098236084},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.48413023352622986},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.47718989849090576},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45767730474472046},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.44508856534957886},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4292926788330078},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4170321822166443},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4118618965148926},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36839038133621216},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16943863034248352},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13811808824539185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12421774864196777},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11119148135185242}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.812847912311554},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7730728387832642},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.734342098236084},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.48413023352622986},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.47718989849090576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45767730474472046},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.44508856534957886},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4292926788330078},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4170321822166443},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4118618965148926},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36839038133621216},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16943863034248352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13811808824539185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12421774864196777},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11119148135185242},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021819679800017x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819679800017x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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 Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W27897647","https://openalex.org/W128738456","https://openalex.org/W1492625855","https://openalex.org/W1497714327","https://openalex.org/W1511981482","https://openalex.org/W1524079224","https://openalex.org/W1537177957","https://openalex.org/W1549720865","https://openalex.org/W1562120089","https://openalex.org/W1562651735","https://openalex.org/W1582828320","https://openalex.org/W1608340630","https://openalex.org/W1705394006","https://openalex.org/W1868937033","https://openalex.org/W1872575215","https://openalex.org/W1971388659","https://openalex.org/W1984151763","https://openalex.org/W2061609277","https://openalex.org/W2075557235","https://openalex.org/W2079698278","https://openalex.org/W2099361053","https://openalex.org/W2116250539","https://openalex.org/W4205178514","https://openalex.org/W4232688024","https://openalex.org/W4232810345"],"related_works":["https://openalex.org/W1980381208","https://openalex.org/W2364594919","https://openalex.org/W2167092671","https://openalex.org/W1861706286","https://openalex.org/W2219338811","https://openalex.org/W2149583853","https://openalex.org/W3093936885","https://openalex.org/W2143002539","https://openalex.org/W2130386332","https://openalex.org/W1120847856"],"abstract_inverted_index":{"We":[0,16],"generalize":[1],"the":[2,11,19,37,94,104,111,116],"results":[3],"on":[4,110,115],"\u03b1-complex":[5,20,75],"traces":[6],"from":[7],"[14,":[8],"16]":[9],"to":[10,54],"realm":[12],"of":[13,27,60,73,80,118,130],"concurrent":[14],"automata.":[15],"show":[17],"that":[18,87],"computations":[21,39,96],"can":[22,124],"be":[23],"defined":[24],"as":[25,40,58,128],"elements":[26],"a":[28,41,64,70,84,98],"compact,":[29],"totally":[30],"disconnected":[31],"and":[32,43,91,100,103],"complete":[33],"topological":[34],"semigroup":[35,49,72,82,113],"containing":[36],"finite":[38,61,95,119,131],"dense":[42,99],"discrete":[44,101],"subspace.":[45],"But":[46],"in":[47,63],"this":[48,81],"it":[50,88],"is":[51,106],"not":[52,109],"possible":[53],"define":[55,69,125],"infinite":[56,126],"products":[57,127],"limits":[59,129],"ones":[62],"satisfactory":[65],"way.":[66],"Therefore,":[67],"we":[68,123],"second":[71],"restricted":[74],"computations.":[76,120],"The":[77],"underlying":[78],"set":[79,117],"carries":[83],"metric":[85],"such":[86],"becomes":[89],"compact":[90],"complete.":[92],"Furthermore,":[93],"are":[97],"subset":[102],"multiplication":[105],"uniformly":[107],"continuous":[108],"whole":[112],"but":[114],"Finally,":[121],"here":[122],"ones.":[132]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
