{"id":"https://openalex.org/W1558442354","doi":"https://doi.org/10.1007/978-3-642-13754-9_4","title":"The Localization Reduction and Counterexample-Guided Abstraction Refinement","display_name":"The Localization Reduction and Counterexample-Guided Abstraction Refinement","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1558442354","doi":"https://doi.org/10.1007/978-3-642-13754-9_4","mag":"1558442354"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-13754-9_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13754-9_4","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/A5105356861","display_name":"Edmund M. Clarke","orcid":null},"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":"Edmund M. Clarke","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034009786","display_name":"Robert P. Kurshan","orcid":"https://orcid.org/0000-0002-4232-6530"},"institutions":[{"id":"https://openalex.org/I66217453","display_name":"Cadence Design Systems (United States)","ror":"https://ror.org/04w8xa018","country_code":"US","type":"company","lineage":["https://openalex.org/I66217453"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert P. Kurshan","raw_affiliation_strings":["Cadence Design Systems, Inc., New York, NY 10014"],"affiliations":[{"raw_affiliation_string":"Cadence Design Systems, Inc., New York, NY 10014","institution_ids":["https://openalex.org/I66217453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110701511","display_name":"Helmut Veith","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Helmut Veith","raw_affiliation_strings":["Formal Methods in Systems Engineering, Vienna University of Technology, Austria"],"affiliations":[{"raw_affiliation_string":"Formal Methods in Systems Engineering, Vienna University of Technology, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5105356861"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8311,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84393443,"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":"61","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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":0.9998000264167786,"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/T11424","display_name":"Security and Verification in Computing","score":0.9983000159263611,"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":0.9979000091552734,"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/counterexample","display_name":"Counterexample","score":0.9545641541481018},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.8657166361808777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8322737216949463},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6296051740646362},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.6256773471832275},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5268515348434448},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5019054412841797},{"id":"https://openalex.org/keywords/iterative-refinement","display_name":"Iterative refinement","score":0.4453775882720947},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.432394802570343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33697086572647095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09523805975914001},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08002865314483643},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.06027671694755554}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.9545641541481018},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.8657166361808777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8322737216949463},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6296051740646362},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6256773471832275},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5268515348434448},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5019054412841797},{"id":"https://openalex.org/C2779982483","wikidata":"https://www.wikidata.org/wiki/Q6094420","display_name":"Iterative refinement","level":2,"score":0.4453775882720947},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.432394802570343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33697086572647095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09523805975914001},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08002865314483643},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.06027671694755554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-13754-9_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13754-9_4","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W20424721","https://openalex.org/W263936402","https://openalex.org/W1497571013","https://openalex.org/W1503537039","https://openalex.org/W1510368738","https://openalex.org/W1529312983","https://openalex.org/W1530547737","https://openalex.org/W1536007121","https://openalex.org/W1556566737","https://openalex.org/W1562679818","https://openalex.org/W1568831483","https://openalex.org/W1582574957","https://openalex.org/W1585696877","https://openalex.org/W1605593319","https://openalex.org/W1787074469","https://openalex.org/W1830600668","https://openalex.org/W1836483134","https://openalex.org/W1888172192","https://openalex.org/W1968898611","https://openalex.org/W2080593426","https://openalex.org/W2081840025","https://openalex.org/W2082000355","https://openalex.org/W2101577148","https://openalex.org/W2103351789","https://openalex.org/W2127574686","https://openalex.org/W2129874841","https://openalex.org/W2134147303","https://openalex.org/W2136716015","https://openalex.org/W2151463894","https://openalex.org/W2158395308","https://openalex.org/W2276056289","https://openalex.org/W2293708017","https://openalex.org/W2295903414","https://openalex.org/W2483649756","https://openalex.org/W2911952004","https://openalex.org/W3020903521","https://openalex.org/W4250266285","https://openalex.org/W4285719527","https://openalex.org/W6606863903"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W2775700832","https://openalex.org/W3204670144","https://openalex.org/W2163101548","https://openalex.org/W2162945176","https://openalex.org/W4240080598","https://openalex.org/W3197458363","https://openalex.org/W1558442354","https://openalex.org/W1530547737"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}