{"id":"https://openalex.org/W2144698929","doi":"https://doi.org/10.1145/2071368.2071376","title":"Structural Analysis of Boolean Equation Systems","display_name":"Structural Analysis of Boolean Equation Systems","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2144698929","doi":"https://doi.org/10.1145/2071368.2071376","mag":"2144698929"},"language":"en","primary_location":{"id":"doi:10.1145/2071368.2071376","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2071368.2071376","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1002.3222","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010819147","display_name":"Jeroen J. A. Keiren","orcid":"https://orcid.org/0000-0002-5772-9527"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jeroen J. A. Keiren","raw_affiliation_strings":["Eindhoven University of Technology","EINDHOVEN UNIVERSITY OF TECHNOLOGY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"EINDHOVEN UNIVERSITY OF TECHNOLOGY","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040487816","display_name":"Michel Reniers","orcid":"https://orcid.org/0000-0002-9283-4074"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Michel A. Reniers","raw_affiliation_strings":["Eindhoven University of Technology","EINDHOVEN UNIVERSITY OF TECHNOLOGY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"EINDHOVEN UNIVERSITY OF TECHNOLOGY","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042194099","display_name":"Tim A. C. Willemse","orcid":"https://orcid.org/0000-0003-3049-7962"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Tim A. C. Willemse","raw_affiliation_strings":["Eindhoven University of Technology","EINDHOVEN UNIVERSITY OF TECHNOLOGY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"EINDHOVEN UNIVERSITY OF TECHNOLOGY","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":0.3294,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64844139,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1","first_page":"1","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9847999811172485,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.984499990940094,"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/mathematics","display_name":"Mathematics","score":0.6983131766319275},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4123988747596741},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41020703315734863}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6983131766319275},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4123988747596741},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41020703315734863}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1145/2071368.2071376","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2071368.2071376","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/54f14ce9-1458-4431-a74c-cdd57e18646e","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/54f14ce9-1458-4431-a74c-cdd57e18646e","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Keiren, J J A, Reniers, M A & Willemse, T A C 2012, 'Structural analysis of Boolean equation systems', ACM Transactions on Computational Logic, vol. 13, no. 1, 8, pp. 8-1/35. https://doi.org/10.1145/2071368.2071376","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1002.3222","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1002.3222","pdf_url":"https://arxiv.org/pdf/1002.3222","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"pmh:694493","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=694493","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1529-3785","raw_type":"Article / Letter to the editor"},{"id":"pmh:805792","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=805792","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"External research report"},{"id":"pmh:oai:pure.tue.nl:publications/a21464f9-450d-4475-b706-bd925e5d59ab","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/a21464f9-450d-4475-b706-bd925e5d59ab","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:tue:oai:pure.tue.nl:publications/54f14ce9-1458-4431-a74c-cdd57e18646e","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/54f14ce9-1458-4431-a74c-cdd57e18646e","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Computational Logic, 13(1):8, 8 - 1/35. Association for Computing Machinery, Inc","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1002.3222","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1002.3222","pdf_url":"https://arxiv.org/pdf/1002.3222","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2144698929.pdf","grobid_xml":"https://content.openalex.org/works/W2144698929.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W119381390","https://openalex.org/W1493916325","https://openalex.org/W1496019238","https://openalex.org/W1505869606","https://openalex.org/W1507281497","https://openalex.org/W1526785305","https://openalex.org/W1530087756","https://openalex.org/W1547562281","https://openalex.org/W1586070392","https://openalex.org/W1795391326","https://openalex.org/W1980377655","https://openalex.org/W2002570665","https://openalex.org/W2015640848","https://openalex.org/W2044965190","https://openalex.org/W2046213250","https://openalex.org/W2060375000","https://openalex.org/W2106000595","https://openalex.org/W2117039440","https://openalex.org/W2118229393","https://openalex.org/W2124969881","https://openalex.org/W2125382028","https://openalex.org/W2125656483","https://openalex.org/W2129163528","https://openalex.org/W2139470733","https://openalex.org/W2140317178","https://openalex.org/W2142133061","https://openalex.org/W2161411257","https://openalex.org/W2461889862","https://openalex.org/W2561675875","https://openalex.org/W2605094799","https://openalex.org/W2756011084","https://openalex.org/W4210639184","https://openalex.org/W4256063374","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0,46,83],"analyze":[1,67],"the":[2,10,43,92],"problem":[3],"of":[4,12,24,70,94,101],"solving":[5],"Boolean":[6,71],"equation":[7,36,72,76,97],"systems":[8,37,77],"through":[9,20,99],"use":[11],"structure":[13,40,103],"graphs":[14,41,63],".":[15,82],"The":[16],"latter":[17],"are":[18],"obtained":[19],"an":[21,96],"elegant":[22],"set":[23],"Plotkin-style":[25],"deduction":[26],"rules.":[27],"Our":[28],"main":[29],"contribution":[30],"is":[31],"that":[32,35,48],"we":[33],"show":[34,47],"with":[38],"bisimilar":[39],"have":[42],"same":[44],"solution.":[45],"our":[49,85],"work":[50],"conservatively":[51],"extends":[52],"earlier":[53],"work,":[54],"conducted":[55],"by":[56,87],"Keiren":[57],"and":[58],"Willemse,":[59],"in":[60,78],"which":[61],"dependency":[62],"were":[64],"used":[65],"to":[66],"a":[68,88],"subclass":[69],"systems,":[73],"viz":[74],".,":[75],"standard":[79],"recursive":[80],"form":[81],"illustrate":[84],"approach":[86],"small":[89],"example,":[90],"demonstrating":[91],"effect":[93],"simplifying":[95],"system":[98],"minimization":[100],"its":[102],"graph.":[104]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}