{"id":"https://openalex.org/W3142942043","doi":"https://doi.org/10.1109/iccad.2007.4397277","title":"Computation of minimal counterexamples by using black box techniques and symbolic methods","display_name":"Computation of minimal counterexamples by using black box techniques and symbolic methods","publication_year":2007,"publication_date":"2007-11-01","ids":{"openalex":"https://openalex.org/W3142942043","doi":"https://doi.org/10.1109/iccad.2007.4397277","mag":"3142942043"},"language":"en","primary_location":{"id":"doi:10.1109/iccad.2007.4397277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2007.4397277","pdf_url":null,"source":{"id":"https://openalex.org/S4210177401","display_name":"Digest of technical papers/Digest of technical papers - IEEE/ACM International Conference on Computer-Aided Design","issn_l":"1092-3152","issn":["1092-3152","1558-2434"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE/ACM International Conference on Computer-Aided Design","raw_type":"proceedings-article"},"type":"article","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/A5010328977","display_name":"Tobias Nopper","orcid":null},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias Nopper","raw_affiliation_strings":["Institute of Computer Science, Albert Ludwig University, Freiburg im Breisgau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Albert Ludwig University, Freiburg im Breisgau, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002292119","display_name":"Christoph Scholl","orcid":"https://orcid.org/0000-0003-0488-7676"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Scholl","raw_affiliation_strings":["Institute of Computer Science, Albert Ludwig University, Freiburg im Breisgau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Albert Ludwig University, Freiburg im Breisgau, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038861833","display_name":"Bernd Becker","orcid":"https://orcid.org/0000-0003-4031-3258"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Becker","raw_affiliation_strings":["Institute of Computer Science, Albert Ludwig University, Freiburg im Breisgau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Albert Ludwig University, Freiburg im Breisgau, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8707,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86676833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"1855","issue":null,"first_page":"273","last_page":"280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.9914480447769165},{"id":"https://openalex.org/keywords/debugging","display_name":"Debugging","score":0.7402093410491943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.674248456954956},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5160486102104187},{"id":"https://openalex.org/keywords/black-box","display_name":"Black box","score":0.46966636180877686},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4604509472846985},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46026521921157837},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4499276578426361},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44134944677352905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28183528780937195},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2730075418949127},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24354368448257446},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15633240342140198}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.9914480447769165},{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.7402093410491943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.674248456954956},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5160486102104187},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.46966636180877686},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4604509472846985},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46026521921157837},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4499276578426361},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44134944677352905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28183528780937195},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2730075418949127},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24354368448257446},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15633240342140198},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iccad.2007.4397277","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2007.4397277","pdf_url":null,"source":{"id":"https://openalex.org/S4210177401","display_name":"Digest of technical papers/Digest of technical papers - IEEE/ACM International Conference on Computer-Aided Design","issn_l":"1092-3152","issn":["1092-3152","1558-2434"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE/ACM International Conference on Computer-Aided Design","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.144.1484","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.1484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ira.informatik.uni-freiburg.de/papers/2007/NSB_2007.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1495266209","https://openalex.org/W1509349764","https://openalex.org/W1510368738","https://openalex.org/W1516564968","https://openalex.org/W1523041988","https://openalex.org/W1531074653","https://openalex.org/W1537839830","https://openalex.org/W1569576087","https://openalex.org/W1609729953","https://openalex.org/W1787074469","https://openalex.org/W1814068099","https://openalex.org/W1822320350","https://openalex.org/W1986558678","https://openalex.org/W1992006255","https://openalex.org/W2003227046","https://openalex.org/W2010596503","https://openalex.org/W2023688589","https://openalex.org/W2024148935","https://openalex.org/W2061438988","https://openalex.org/W2080267935","https://openalex.org/W2112643551","https://openalex.org/W2117189826","https://openalex.org/W2117889170","https://openalex.org/W2121706505","https://openalex.org/W2161215542","https://openalex.org/W2165789246","https://openalex.org/W4300021588","https://openalex.org/W4302458519","https://openalex.org/W6629648295","https://openalex.org/W6630973549","https://openalex.org/W6631156215","https://openalex.org/W6638020115","https://openalex.org/W6656308666"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W2775700832","https://openalex.org/W2587222766","https://openalex.org/W3204670144","https://openalex.org/W2163101548","https://openalex.org/W1988934358","https://openalex.org/W4389574038","https://openalex.org/W4293643564","https://openalex.org/W2543101158"],"abstract_inverted_index":{"Computing":[0],"counterexamples":[1,22,41,130,143],"is":[2,144],"a":[3,57,98,155,159],"crucial":[4],"task":[5,109],"for":[6,86],"error":[7,28],"diagnosis":[8],"and":[9,53,112],"debugging":[10],"of":[11,60,68,75,101,110,120,128,142,166],"sequential":[12],"systems.":[13],"If":[14],"an":[15,125],"implementation":[16],"does":[17],"not":[18,137],"fulfill":[19],"its":[20],"specification,":[21],"are":[23],"used":[24],"to":[25,30,35,56,82,106,123],"explain":[26],"the":[27,31,39,66,76,92,104,108,114,118],"effect":[29],"designer.":[32],"In":[33],"order":[34],"be":[36,43,48],"understood":[37],"by":[38],"designer,":[40],"should":[42,47],"simple,":[44],"i.e.":[45],"they":[46],"as":[49,51,158],"general":[50],"possible":[52],"assign":[54],"values":[55],"minimal":[58],"number":[59,100],"input":[61],"signals.":[62],"Here":[63],"we":[64],"use":[65],"concept":[67],"<i":[69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Black":[71],"Boxes</i>":[72],"-":[73,81],"parts":[74],"design":[77],"with":[78],"unknown":[79],"behavior":[80],"mask":[83],"out":[84],"components":[85,102,134],"counterexample":[87,94],"computation.":[88],"By":[89],"doing":[90],"so,":[91],"resulting":[93],"will":[95],"argue":[96],"about":[97,133],"reduced":[99],"in":[103],"system":[105],"facilitate":[107],"understanding":[111],"correcting":[113],"error.":[115],"We":[116],"introduce":[117],"notion":[119],"'uniform":[121],"counterexamples'":[122],"provide":[124],"exact":[126],"formalization":[127],"simplified":[129,168],"arguing":[131],"only":[132],"which":[135],"were":[136],"masked":[138],"out.":[139],"Our":[140],"computation":[141],"based":[145],"on":[146],"symbolic":[147],"methods":[148],"using":[149,154],"AIGs":[150],"(And-Inverter-Graphs).":[151],"Experimental":[152],"results":[153],"VLIW":[156],"processor":[157],"case":[160],"study":[161],"clearly":[162],"demonstrate":[163],"our":[164],"capability":[165],"providing":[167],"counterexamples.":[169]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}