{"id":"https://openalex.org/W2015523519","doi":"https://doi.org/10.1142/s0218196799000035","title":"A POLYNOMIAL TIME ALGORITHM FOR LOCAL TESTABILITY AND ITS LEVEL","display_name":"A POLYNOMIAL TIME ALGORITHM FOR LOCAL TESTABILITY AND ITS LEVEL","publication_year":1999,"publication_date":"1999-02-01","ids":{"openalex":"https://openalex.org/W2015523519","doi":"https://doi.org/10.1142/s0218196799000035","mag":"2015523519"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196799000035","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196799000035","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/A5001614047","display_name":"A. N. Trahtman","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"A. N. TRAHTMAN","raw_affiliation_strings":["Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat Gan, Israel","Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001614047"],"corresponding_institution_ids":["https://openalex.org/I13955877"],"apc_list":null,"apc_paid":null,"fwci":2.3369,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.90828238,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"09","issue":"01","first_page":"31","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T11567","display_name":"semigroups and automata theory","score":0.9879999756813049,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9801999926567078,"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/testability","display_name":"Testability","score":0.9009886980056763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8710947036743164},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7695488929748535},{"id":"https://openalex.org/keywords/substring","display_name":"Substring","score":0.564965009689331},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5384774804115295},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47687679529190063},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4687989354133606},{"id":"https://openalex.org/keywords/cancellative-semigroup","display_name":"Cancellative semigroup","score":0.4686182141304016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45779258012771606},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44930651783943176},{"id":"https://openalex.org/keywords/special-classes-of-semigroups","display_name":"Special classes of semigroups","score":0.42424148321151733},{"id":"https://openalex.org/keywords/bicyclic-semigroup","display_name":"Bicyclic semigroup","score":0.41521236300468445},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36311233043670654},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3512202203273773},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09389254450798035}],"concepts":[{"id":"https://openalex.org/C51234621","wikidata":"https://www.wikidata.org/wiki/Q2149495","display_name":"Testability","level":2,"score":0.9009886980056763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8710947036743164},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7695488929748535},{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.564965009689331},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5384774804115295},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47687679529190063},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4687989354133606},{"id":"https://openalex.org/C21112865","wikidata":"https://www.wikidata.org/wiki/Q5031372","display_name":"Cancellative semigroup","level":3,"score":0.4686182141304016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45779258012771606},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44930651783943176},{"id":"https://openalex.org/C46149467","wikidata":"https://www.wikidata.org/wiki/Q7574800","display_name":"Special classes of semigroups","level":3,"score":0.42424148321151733},{"id":"https://openalex.org/C40417594","wikidata":"https://www.wikidata.org/wiki/Q3022111","display_name":"Bicyclic semigroup","level":3,"score":0.41521236300468445},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36311233043670654},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3512202203273773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09389254450798035},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196799000035","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196799000035","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.127.9766","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.9766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.biu.ac.il/~trakht/ijac-alg.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1560367636","https://openalex.org/W1975204902","https://openalex.org/W1994892604","https://openalex.org/W2047871300","https://openalex.org/W2081443805","https://openalex.org/W2130750623"],"related_works":["https://openalex.org/W2612947847","https://openalex.org/W2008928562","https://openalex.org/W3024725012","https://openalex.org/W2059878338","https://openalex.org/W2247158867","https://openalex.org/W4235471152","https://openalex.org/W2038752011","https://openalex.org/W4243208285","https://openalex.org/W1965539507","https://openalex.org/W2085569002"],"abstract_inverted_index":{"A":[0],"locally":[1,86,126],"testable":[2,87,127],"semigroup":[3,7,41,84],"S":[4,36],"is":[5,85,159,167],"a":[6,77,93,155],"with":[8],"the":[9,18,40,44,49,57,66,83,98,105,123,133,138,146,149,168,171],"property":[10],"that":[11],"for":[12,35,73,97,110],"some":[13,31],"non-negative":[14],"integer":[15],"k,":[16],"called":[17],"order":[19,150,161,169],"or":[20,88],"level":[21,106],"of":[22,33,48,51,59,62,65,107,117,119,125,132,145,151,154,160,170],"local":[23,70,99,108,139,152],"testability,":[24],"two":[25],"words":[26,50,67],"u":[27],"and":[28,46,55,102,122],"v":[29],"in":[30,39],"set":[32,58],"generators":[34],"are":[37],"equal":[38],"if":[42,82],"(1)":[43],"prefix":[45],"suffix":[47],"length":[52,63],"k":[53,64],"coincide,":[54],"(2)":[56],"intermediate":[60],"substrings":[61],"coincide.":[68],"The":[69,129,142,157],"testability":[71,100,109,140,153],"problem":[72,101],"semigroups":[74,111,121],"is,":[75],"given":[76],"finite":[78],"semigroup,":[79],"to":[80,103],"decide,":[81],"not.":[89],"Recently,":[90],"we":[91,135],"introduced":[92],"polynomial":[94],"time":[95],"algorithm":[96,134,147,158],"find":[104],"based":[112],"on":[113],"our":[114],"previous":[115],"description":[116],"identities":[118],"k-testable":[120],"structure":[124],"semigroups.":[128],"first":[130],"part":[131,144],"introduce":[136],"solves":[137],"problem.":[141],"second":[143],"finds":[148],"semigroup.":[156,172],"n":[162,166],"2":[163],",":[164],"where":[165]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
