{"id":"https://openalex.org/W4226409848","doi":"https://doi.org/10.1007/978-3-030-99524-9_26","title":"Moving Definition Variables in Quantified Boolean Formulas","display_name":"Moving Definition Variables in Quantified Boolean Formulas","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226409848","doi":"https://doi.org/10.1007/978-3-030-99524-9_26"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-99524-9_26","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99524-9_26","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99524-9_26.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99524-9_26.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084729163","display_name":"Joseph E. Reeves","orcid":"https://orcid.org/0000-0002-4585-0565"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joseph E. Reeves","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, Pennsylvania, United States"],"raw_orcid":"https://orcid.org/0000-0002-4585-0565","affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, Pennsylvania, United States","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025921874","display_name":"Marijn J. H. Heule","orcid":"https://orcid.org/0000-0002-5587-8801"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marijn J. H. Heule","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, Pennsylvania, United States"],"raw_orcid":"https://orcid.org/0000-0002-5587-8801","affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, Pennsylvania, United States","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054408811","display_name":"Randal E. Bryant","orcid":"https://orcid.org/0000-0001-5024-6613"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Randal E. Bryant","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, Pennsylvania, United States"],"raw_orcid":"https://orcid.org/0000-0001-5024-6613","affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, Pennsylvania, United States","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084729163"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.9893,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.86037234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"462","last_page":"479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":1.0,"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":1.0,"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":0.9995999932289124,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/computer-science","display_name":"Computer science","score":0.7501313090324402},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.7312319874763489},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6514773964881897},{"id":"https://openalex.org/keywords/boolean-data-type","display_name":"Boolean data type","score":0.6474493741989136},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5464327931404114},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.5193185210227966},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5016975402832031},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.49627095460891724},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46228885650634766},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4346054196357727},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.29089468717575073},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2667473554611206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.245224267244339}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7501313090324402},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.7312319874763489},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6514773964881897},{"id":"https://openalex.org/C7342684","wikidata":"https://www.wikidata.org/wiki/Q520777","display_name":"Boolean data type","level":2,"score":0.6474493741989136},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5464327931404114},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.5193185210227966},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5016975402832031},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.49627095460891724},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46228885650634766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4346054196357727},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29089468717575073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2667473554611206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.245224267244339},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-99524-9_26","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99524-9_26","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99524-9_26.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-99524-9_26","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99524-9_26","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99524-9_26.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2130175152","display_name":null,"funder_award_id":"CCF-2108521","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8132138595","display_name":"SHF : Small: Certified Automated Reasoning with BDDs (CARB)","funder_award_id":"2108521","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226409848.pdf","grobid_xml":"https://content.openalex.org/works/W4226409848.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W88271430","https://openalex.org/W99602494","https://openalex.org/W134339645","https://openalex.org/W333834217","https://openalex.org/W1562832747","https://openalex.org/W1950282396","https://openalex.org/W1976876676","https://openalex.org/W1988882144","https://openalex.org/W1999997889","https://openalex.org/W2062897452","https://openalex.org/W2133527541","https://openalex.org/W2233304325","https://openalex.org/W2404220671","https://openalex.org/W2600514308","https://openalex.org/W2918119152","https://openalex.org/W2994801699","https://openalex.org/W3178381410","https://openalex.org/W4366823129"],"related_works":["https://openalex.org/W2115480761","https://openalex.org/W4386614288","https://openalex.org/W2920896101","https://openalex.org/W2249253838","https://openalex.org/W1526216923","https://openalex.org/W2486424993","https://openalex.org/W1600869845","https://openalex.org/W3122501078","https://openalex.org/W2558119813","https://openalex.org/W4241134749"],"abstract_inverted_index":{"Abstract":[0],"Augmenting":[1],"problem":[2],"variables":[3,11,22,43,51],"in":[4,16,25,59],"a":[5,13,37],"quantified":[6],"Boolean":[7],"formula":[8],"with":[9,93],"definition":[10,21,42,73],"enables":[12],"compact":[14],"representation":[15],"clausal":[17],"form.":[18],"Generally":[19],"these":[20],"are":[23],"placed":[24],"the":[26,45,50,57,60,77,86,94],"innermost":[27],"quantifier":[28,46],"level.":[29],"To":[30],"restore":[31],"some":[32],"structural":[33],"information,":[34],"we":[35],"introduce":[36],"preprocessing":[38],"technique":[39],"that":[40,52],"moves":[41],"to":[44,49,64,101],"level":[47],"closest":[48],"define":[53],"them.":[54],"We":[55,71],"express":[56],"movement":[58,75,92],"QRAT":[61],"proof":[62,69],"system":[63],"allow":[65],"verification":[66],"by":[67],"independent":[68],"checkers.":[70],"evaluated":[72],"variable":[74,91],"on":[76],"QBFEVAL\u201920":[78],"competition":[79],"benchmarks.":[80],"Movement":[81],"significantly":[82],"improved":[83],"performance":[84,99],"for":[85],"competition\u2019s":[87],"top":[88],"solvers.":[89],"Combining":[90],"preprocessor":[95],"Bloqqer":[96,103],"improves":[97],"solver":[98],"compared":[100],"using":[102],"alone.":[104]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}