{"id":"https://openalex.org/W1569142104","doi":"https://doi.org/10.1007/978-3-540-87531-4_11","title":"Fractional Collections with Cardinality Bounds, and Mixed Linear Arithmetic with Stars","display_name":"Fractional Collections with Cardinality Bounds, and Mixed Linear Arithmetic with Stars","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1569142104","doi":"https://doi.org/10.1007/978-3-540-87531-4_11","mag":"1569142104"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87531-4_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87531-4_11","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":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/record/136775/files/PiskacKuncak08FractionalCollections.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045794652","display_name":"Ru\u017eica Piska\u010d","orcid":"https://orcid.org/0000-0002-3267-0776"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Ruzica Piskac","raw_affiliation_strings":["LARA - I&C - EPFL, Lausanne, Switzerland","LARA - I&C - EPFL, Lausanne, Switzerland CH-1015#TAB#"],"affiliations":[{"raw_affiliation_string":"LARA - I&C - EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"LARA - I&C - EPFL, Lausanne, Switzerland CH-1015#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008699657","display_name":"Viktor Kun\u010dak","orcid":"https://orcid.org/0000-0001-7044-9522"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Viktor Kuncak","raw_affiliation_strings":["LARA - I&C - EPFL, Lausanne, Switzerland","LARA - I&C - EPFL, Lausanne, Switzerland CH-1015#TAB#"],"affiliations":[{"raw_affiliation_string":"LARA - I&C - EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"LARA - I&C - EPFL, Lausanne, Switzerland CH-1015#TAB#","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045794652"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.5359,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80358668,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"124","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9994000196456909,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983999729156494,"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/decidability","display_name":"Decidability","score":0.647340714931488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5546504259109497},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5523074269294739},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.545708954334259},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5096120834350586},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.49704626202583313},{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.47275644540786743},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.4618154764175415},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4348231256008148},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.41721075773239136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.347770094871521},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3378966152667999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28230708837509155},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.11020123958587646},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0926467776298523}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.647340714931488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5546504259109497},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5523074269294739},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.545708954334259},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5096120834350586},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.49704626202583313},{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.47275644540786743},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.4618154764175415},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4348231256008148},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.41721075773239136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.347770094871521},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3378966152667999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28230708837509155},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.11020123958587646},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0926467776298523},{"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-87531-4_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87531-4_11","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:infoscience.tind.io:136775","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/38234","pdf_url":"https://infoscience.epfl.ch/record/136775/files/PiskacKuncak08FractionalCollections.pdf","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.188.6987","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.188.6987","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://icwww.epfl.ch/%7Episkac/publications/PiskacKuncak08FractionalCollections.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.216.5950","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.216.5950","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lara.epfl.ch/~kuncak/papers/PiskacKuncak08FractionalCollections.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:136775","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/38234","pdf_url":"https://infoscience.epfl.ch/record/136775/files/PiskacKuncak08FractionalCollections.pdf","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1569142104.pdf","grobid_xml":"https://content.openalex.org/works/W1569142104.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W26772505","https://openalex.org/W1480600454","https://openalex.org/W1493089824","https://openalex.org/W1511526676","https://openalex.org/W1522857917","https://openalex.org/W1524248088","https://openalex.org/W1607550340","https://openalex.org/W1767788337","https://openalex.org/W1816792955","https://openalex.org/W1963547452","https://openalex.org/W1964874178","https://openalex.org/W2012833332","https://openalex.org/W2026405784","https://openalex.org/W2031409637","https://openalex.org/W2097699872","https://openalex.org/W2102913701","https://openalex.org/W2108673245","https://openalex.org/W2125967324","https://openalex.org/W2479999086","https://openalex.org/W2494986075","https://openalex.org/W2561675875","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4213255380"],"related_works":["https://openalex.org/W4225592929","https://openalex.org/W1562922633","https://openalex.org/W4294016381","https://openalex.org/W2583753471","https://openalex.org/W2922024459","https://openalex.org/W2122700562","https://openalex.org/W2294297515","https://openalex.org/W2400855043","https://openalex.org/W1540595797","https://openalex.org/W2962945057"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
