{"id":"https://openalex.org/W1491463546","doi":"https://doi.org/10.1007/978-3-540-70594-9_19","title":"Modal Semirings Revisited","display_name":"Modal Semirings Revisited","publication_year":2008,"publication_date":"2008-08-12","ids":{"openalex":"https://openalex.org/W1491463546","doi":"https://doi.org/10.1007/978-3-540-70594-9_19","mag":"1491463546"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-70594-9_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70594-9_19","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/A5108209111","display_name":"Jules Desharnais","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jules Desharnais","raw_affiliation_strings":["D\u00e9partement d\u2019informatique et de g\u00e9nie logiciel, Pavillon Adrien-Pouliot, Qu\u00e9bec, Canada","D\u00e9partement d'informatique et de g\u00e9nie logiciel, Pavillon Adrien-Pouliot, Qu\u00e9bec, Canada G1V 0A6#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019informatique et de g\u00e9nie logiciel, Pavillon Adrien-Pouliot, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I4210161954"]},{"raw_affiliation_string":"D\u00e9partement d'informatique et de g\u00e9nie logiciel, Pavillon Adrien-Pouliot, Qu\u00e9bec, Canada G1V 0A6#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004734550","display_name":"Georg Struth","orcid":"https://orcid.org/0000-0001-9466-7815"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Georg Struth","raw_affiliation_strings":["Department of Computer Science, University of Sheffield, United Kingdom","Department of Computer Science, University of Sheffield, United Kingdom S1 4DP#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"Department of Computer Science, University of Sheffield, United Kingdom S1 4DP#TAB#","institution_ids":["https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.3776,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.95646607,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"360","last_page":"387"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9979000091552734,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/distributive-property","display_name":"Distributive property","score":0.7951697111129761},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.7304064631462097},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5996245741844177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5747761130332947},{"id":"https://openalex.org/keywords/modal-operator","display_name":"Modal operator","score":0.5706900358200073},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5699610710144043},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49749258160591125},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.43843764066696167},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35133522748947144},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08244979381561279}],"concepts":[{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.7951697111129761},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.7304064631462097},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5996245741844177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5747761130332947},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.5706900358200073},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5699610710144043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49749258160591125},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.43843764066696167},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35133522748947144},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08244979381561279},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-70594-9_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70594-9_19","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1483831133","https://openalex.org/W1488364853","https://openalex.org/W1491604514","https://openalex.org/W1524873566","https://openalex.org/W1557079643","https://openalex.org/W1722478857","https://openalex.org/W1762364904","https://openalex.org/W1977757518","https://openalex.org/W1992205482","https://openalex.org/W1998368317","https://openalex.org/W2016732604","https://openalex.org/W2026501147","https://openalex.org/W2068047345","https://openalex.org/W2096169751","https://openalex.org/W2132638915","https://openalex.org/W2133998496","https://openalex.org/W2134747543","https://openalex.org/W2135640478","https://openalex.org/W2163152086","https://openalex.org/W2168951086","https://openalex.org/W2315064349","https://openalex.org/W2477405540","https://openalex.org/W2494986075","https://openalex.org/W3217022467","https://openalex.org/W4212873283"],"related_works":["https://openalex.org/W2028144918","https://openalex.org/W3016746667","https://openalex.org/W1587059467","https://openalex.org/W119381390","https://openalex.org/W4287814874","https://openalex.org/W2109160451","https://openalex.org/W4233254255","https://openalex.org/W1539871678","https://openalex.org/W75246058","https://openalex.org/W2962420748"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}