{"id":"https://openalex.org/W2116221810","doi":"https://doi.org/10.1007/bfb0029985","title":"Decomposition of TrPTL formulas","display_name":"Decomposition of TrPTL formulas","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2116221810","doi":"https://doi.org/10.1007/bfb0029985","mag":"2116221810"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0029985","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0029985","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5065733186","display_name":"Raphael A. Meyer","orcid":"https://orcid.org/0000-0001-8564-7003"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Rapha\u00ebl Meyer","raw_affiliation_strings":["LSV, URA 2236 CNRS, ENS de Cachan, 61, av. du Pr\u00e9s. Wilson, F-94235, Cachan Cedex","LSV, URA 2236 CNRS, ENS de Cachan"],"affiliations":[{"raw_affiliation_string":"LSV, URA 2236 CNRS, ENS de Cachan, 61, av. du Pr\u00e9s. Wilson, F-94235, Cachan Cedex","institution_ids":["https://openalex.org/I11559806"]},{"raw_affiliation_string":"LSV, URA 2236 CNRS, ENS de Cachan","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101460489","display_name":"Antoine Petit","orcid":"https://orcid.org/0000-0001-9374-6124"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Petit","raw_affiliation_strings":["LSV, URA 2236 CNRS, ENS de Cachan, 61, av. du Pr\u00e9s. Wilson, F-94235, Cachan Cedex","LSV, URA 2236 CNRS, ENS de Cachan"],"affiliations":[{"raw_affiliation_string":"LSV, URA 2236 CNRS, ENS de Cachan, 61, av. du Pr\u00e9s. Wilson, F-94235, Cachan Cedex","institution_ids":["https://openalex.org/I11559806"]},{"raw_affiliation_string":"LSV, URA 2236 CNRS, ENS de Cachan","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065733186"],"corresponding_institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5133,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68110851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"418","last_page":"427"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9980000257492065,"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/T11567","display_name":"semigroups and automata theory","score":0.9955000281333923,"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/focus","display_name":"Focus (optics)","score":0.671947717666626},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6588497161865234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6328757405281067},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6060399413108826},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6029436588287354},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5138211846351624},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.4357767701148987},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4004684090614319},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3879590928554535},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36621737480163574},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3617951571941376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34098586440086365},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16859984397888184}],"concepts":[{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.671947717666626},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6588497161865234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6328757405281067},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6060399413108826},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6029436588287354},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5138211846351624},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.4357767701148987},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4004684090614319},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3879590928554535},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36621737480163574},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3617951571941376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34098586440086365},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16859984397888184},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bfb0029985","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0029985","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.32.7192","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.7192","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/RAPPORTS_LSV/rr-lsv-1997-5.rr.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.54.3598","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.3598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/PAPERS/MeyPet-mfcs97.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1017180521","https://openalex.org/W1497903619","https://openalex.org/W1505482284","https://openalex.org/W1529497146","https://openalex.org/W1560050980","https://openalex.org/W1605354378","https://openalex.org/W1895483727","https://openalex.org/W1972083914","https://openalex.org/W1980003032","https://openalex.org/W2017031131","https://openalex.org/W2023808162","https://openalex.org/W2034083679","https://openalex.org/W2040489949","https://openalex.org/W2128578503","https://openalex.org/W2129335898","https://openalex.org/W2148722937","https://openalex.org/W2180648729","https://openalex.org/W2361796801","https://openalex.org/W2809037521","https://openalex.org/W4232688024","https://openalex.org/W4241939689","https://openalex.org/W4243325464","https://openalex.org/W6645298455"],"related_works":["https://openalex.org/W3176904788","https://openalex.org/W21597398","https://openalex.org/W4298153058","https://openalex.org/W2408080066","https://openalex.org/W2268872489","https://openalex.org/W1913543287","https://openalex.org/W2014111643","https://openalex.org/W2963044240","https://openalex.org/W2076399409","https://openalex.org/W2102364390"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}