{"id":"https://openalex.org/W2232112468","doi":"https://doi.org/10.1007/978-3-319-24318-4_10","title":"$$\\#\\exists $$ SAT: Projected Model Counting","display_name":"$$\\#\\exists $$ SAT: Projected Model Counting","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2232112468","doi":"https://doi.org/10.1007/978-3-319-24318-4_10","mag":"2232112468"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-24318-4_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-24318-4_10","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/A5049717868","display_name":"Rehan Aziz","orcid":"https://orcid.org/0000-0002-0211-5640"},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Rehan Abdul Aziz","raw_affiliation_strings":["National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109469826","display_name":"Geoffrey Chu","orcid":null},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Geoffrey Chu","raw_affiliation_strings":["National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008330299","display_name":"Christian Muise","orcid":"https://orcid.org/0000-0002-2728-6585"},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Christian Muise","raw_affiliation_strings":["National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064839018","display_name":"Peter J. Stuckey","orcid":"https://orcid.org/0000-0003-2186-0459"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Peter Stuckey","raw_affiliation_strings":["National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"National ICT Australia, Victoria Laboratory, Department of Computing and Information Systems, The University of Melbourne, Melbourne, Australia","institution_ids":["https://openalex.org/I42894916","https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049717868"],"corresponding_institution_ids":["https://openalex.org/I165779595","https://openalex.org/I42894916"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3656,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.81362169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"121","last_page":"137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9995999932289124,"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":0.9994000196456909,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9990000128746033,"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/benchmark","display_name":"Benchmark (surveying)","score":0.6666849851608276},{"id":"https://openalex.org/keywords/counting-problem","display_name":"Counting problem","score":0.6533707976341248},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5398454070091248},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5296112298965454},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.522793710231781},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47744494676589966},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.4758602976799011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4579533338546753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4541863203048706},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.41094741225242615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3968123197555542},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3637709617614746},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.26422709226608276},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2393781840801239}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6666849851608276},{"id":"https://openalex.org/C16592021","wikidata":"https://www.wikidata.org/wiki/Q5177154","display_name":"Counting problem","level":2,"score":0.6533707976341248},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5398454070091248},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5296112298965454},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.522793710231781},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47744494676589966},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.4758602976799011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4579533338546753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4541863203048706},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.41094741225242615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3968123197555542},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3637709617614746},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.26422709226608276},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2393781840801239},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-24318-4_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-24318-4_10","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":20,"referenced_works":["https://openalex.org/W91024833","https://openalex.org/W114760959","https://openalex.org/W179198942","https://openalex.org/W180988575","https://openalex.org/W221370897","https://openalex.org/W1537730723","https://openalex.org/W1539326816","https://openalex.org/W1544757461","https://openalex.org/W1878475345","https://openalex.org/W1986660301","https://openalex.org/W2049791401","https://openalex.org/W2057361103","https://openalex.org/W2065384342","https://openalex.org/W2105197197","https://openalex.org/W2121869744","https://openalex.org/W2123936456","https://openalex.org/W2142785340","https://openalex.org/W2156890722","https://openalex.org/W3099451540","https://openalex.org/W3103993477"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W4296193292","https://openalex.org/W4244440046","https://openalex.org/W4292733946","https://openalex.org/W2951782995","https://openalex.org/W4385438527","https://openalex.org/W1758913682","https://openalex.org/W4377990693","https://openalex.org/W1607840088","https://openalex.org/W82353766"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}