{"id":"https://openalex.org/W1994745936","doi":"https://doi.org/10.1155/2013/709071","title":"A Transformation-Based Approach to Implication of GSTE Assertion Graphs","display_name":"A Transformation-Based Approach to Implication of GSTE Assertion Graphs","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1994745936","doi":"https://doi.org/10.1155/2013/709071","mag":"1994745936"},"language":"en","primary_location":{"id":"doi:10.1155/2013/709071","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/709071","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/709071.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/709071.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012354366","display_name":"Guowu Yang","orcid":"https://orcid.org/0000-0002-5133-0320"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guowu Yang","raw_affiliation_strings":["School of Computer Science and Engineering, University of Electronic Science and Technology Chengdu, Sichuan 610054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, University of Electronic Science and Technology Chengdu, Sichuan 610054, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081272390","display_name":"William N. N. Hung","orcid":"https://orcid.org/0000-0001-5024-7544"},"institutions":[{"id":"https://openalex.org/I4210088951","display_name":"Synopsys (United States)","ror":"https://ror.org/013by2m91","country_code":"US","type":"company","lineage":["https://openalex.org/I4210088951"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William N. N. Hung","raw_affiliation_strings":["Synopsys Inc., Mountain View, CA 94043, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Synopsys Inc., Mountain View, CA 94043, USA","institution_ids":["https://openalex.org/I4210088951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082437433","display_name":"Xiaoyu Song","orcid":"https://orcid.org/0000-0002-6583-9400"},"institutions":[{"id":"https://openalex.org/I126345244","display_name":"Portland State University","ror":"https://ror.org/00yn2fy02","country_code":"US","type":"education","lineage":["https://openalex.org/I126345244"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoyu Song","raw_affiliation_strings":["Department of ECE, Portland State University, Portland, Oregon, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Portland State University, Portland, Oregon, USA","institution_ids":["https://openalex.org/I126345244"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102840610","display_name":"Wensheng Guo","orcid":"https://orcid.org/0000-0002-9462-2526"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wensheng Guo","raw_affiliation_strings":["School of Computer Science and Engineering, University of Electronic Science and Technology Chengdu, Sichuan 610054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, University of Electronic Science and Technology Chengdu, Sichuan 610054, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012354366","https://openalex.org/A5081272390"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I4210088951"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06909485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9966999888420105,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/assertion","display_name":"Assertion","score":0.7917594909667969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6873761415481567},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6091779470443726},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.5852192044258118},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5062436461448669},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.46644115447998047},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4282014071941376},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.402123361825943},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.263692706823349}],"concepts":[{"id":"https://openalex.org/C40422974","wikidata":"https://www.wikidata.org/wiki/Q741248","display_name":"Assertion","level":2,"score":0.7917594909667969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6873761415481567},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6091779470443726},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.5852192044258118},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5062436461448669},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.46644115447998047},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4282014071941376},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.402123361825943},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.263692706823349}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2013/709071","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/709071","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/709071.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pdxscholar.library.pdx.edu:ece_fac-1574","is_oa":true,"landing_page_url":"https://pdxscholar.library.pdx.edu/ece_fac/568","pdf_url":null,"source":{"id":"https://openalex.org/S4377196300","display_name":"PDXScholar  (Portland State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126345244","host_organization_name":"Portland State University","host_organization_lineage":["https://openalex.org/I126345244"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical and Computer Engineering Faculty Publications and Presentations","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jam/1399645326","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1399645326","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:709071","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/709071.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:a90a69f7eecb4ebf8a0ed84a71926483","is_oa":true,"landing_page_url":"https://doaj.org/article/a90a69f7eecb4ebf8a0ed84a71926483","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/709071","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/709071","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/709071.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1135538303","display_name":null,"funder_award_id":"61272175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1828425977","display_name":null,"funder_award_id":"973 Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6365281446","display_name":null,"funder_award_id":"60973016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G842545105","display_name":null,"funder_award_id":"2010CB328004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1994745936.pdf","grobid_xml":"https://content.openalex.org/works/W1994745936.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1509905890","https://openalex.org/W1521761735","https://openalex.org/W1529546258","https://openalex.org/W1547263332","https://openalex.org/W1569691571","https://openalex.org/W1606059631","https://openalex.org/W1799575511","https://openalex.org/W1986558678","https://openalex.org/W1994797527","https://openalex.org/W2021189289","https://openalex.org/W2028225730","https://openalex.org/W2031592188","https://openalex.org/W2044310724","https://openalex.org/W2087593009","https://openalex.org/W2134113233","https://openalex.org/W2138856440","https://openalex.org/W2143388350","https://openalex.org/W2145121791","https://openalex.org/W2154967452","https://openalex.org/W2168517264","https://openalex.org/W2171700293"],"related_works":["https://openalex.org/W2746280673","https://openalex.org/W1594593035","https://openalex.org/W2152996796","https://openalex.org/W127357700","https://openalex.org/W2724597727","https://openalex.org/W1480528870","https://openalex.org/W2508541108","https://openalex.org/W2560415449","https://openalex.org/W4243191745","https://openalex.org/W2315419748"],"abstract_inverted_index":{"Generalized":[0],"symbolic":[1,28],"trajectory":[2,29],"evaluation":[3,30],"(GSTE)":[4],"is":[5,24,41,72],"a":[6,112,117],"model":[7,34,46],"checking":[8,35,47],"approach":[9,146],"and":[10,79,93,120],"has":[11],"successfully":[12],"demonstrated":[13],"its":[14,148],"powerful":[15],"capacity":[16],"in":[17],"formal":[18],"verification":[19,151],"of":[20,27,99,131,139,152],"VLSI":[21],"systems.":[22],"GSTE":[23,90,113,132],"an":[25,42,108,153],"extension":[26],"(STE)":[31],"to":[32,44,116,136,150],"the":[33,86,97,129,137],"of<mml:math":[36],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[37,103],"id=\"M1\"><mml:mrow><mml:mi>\u03c9</mml:mi></mml:mrow></mml:math>-regular":[38],"properties.":[39],"It":[40],"alternative":[43],"classical":[45],"algorithms":[48],"where":[49,69],"properties":[50,58],"are":[51,59,65],"specified":[52,60],"as":[53,61],"finite-state":[54,94,118],"automata.":[55],"In":[56,81],"GSTE,":[57],"assertion":[62,91,114,133],"graphs,":[63],"which":[64],"labeled":[66,73],"directed":[67],"graphs":[68,92,134],"each":[70],"edge":[71],"with":[74,96,147],"two":[75],"labeling":[76],"functions:":[77],"antecedent":[78],"consequent.":[80],"this":[82,125],"paper,":[83],"we":[84,127],"show":[85],"complement":[87],"relation":[88],"between":[89],"automata":[95,140],"expressiveness":[98],"regular":[100],"languages":[101],"and<mml:math":[102],"id=\"M2\"><mml:mrow><mml:mi>\u03c9</mml:mi></mml:mrow></mml:math>-regular":[104],"languages.":[105],"We":[106,143],"present":[107],"algorithm":[109],"that":[110],"transforms":[111],"graph":[115],"automaton":[119],"vice":[121],"versa.":[122],"By":[123],"applying":[124],"algorithm,":[126],"transform":[128],"problem":[130,138],"implication":[135],"language":[141],"containment.":[142],"demonstrate":[144],"our":[145],"application":[149],"FIFO":[154],"circuit.":[155]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}