{"id":"https://openalex.org/W3209351390","doi":"https://doi.org/10.1016/j.dam.2024.10.021","title":"On enumerating short projected models","display_name":"On enumerating short projected models","publication_year":2024,"publication_date":"2024-11-12","ids":{"openalex":"https://openalex.org/W3209351390","doi":"https://doi.org/10.1016/j.dam.2024.10.021","mag":"3209351390"},"language":"en","primary_location":{"id":"doi:10.1016/j.dam.2024.10.021","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2024.10.021","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.dam.2024.10.021","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089975693","display_name":"Sibylle M\u00f6hle","orcid":"https://orcid.org/0000-0001-7883-7749"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["AT","DE"],"is_corresponding":true,"raw_author_name":"Sibylle M\u00f6hle","raw_affiliation_strings":["Research Group Automation of Logic, Max Planck Institute for Informatics, Saarland Informatics Campus E1 4, 66123 Saarbr\u00fccken, Germany","JOHANNES KEPLER UNIVERSITY LINZ"],"raw_orcid":"https://orcid.org/0000-0001-7883-7749","affiliations":[{"raw_affiliation_string":"Research Group Automation of Logic, Max Planck Institute for Informatics, Saarland Informatics Campus E1 4, 66123 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"JOHANNES KEPLER UNIVERSITY LINZ","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088301538","display_name":"Roberto Sebastiani","orcid":"https://orcid.org/0000-0002-0989-6101"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Sebastiani","raw_affiliation_strings":["Department of Information Engineering and Computer Science (DISI), University of Trento, Via Sommarive, 9, 38123 Povo (TN) Trento, Italy","University of Trento"],"raw_orcid":"https://orcid.org/0000-0002-0989-6101","affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Computer Science (DISI), University of Trento, Via Sommarive, 9, 38123 Povo (TN) Trento, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"University of Trento","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082596567","display_name":"Armin Biere","orcid":"https://orcid.org/0000-0001-7170-9242"},"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":"Armin Biere","raw_affiliation_strings":["Faculty of Engineering, University of Freiburg, Georges K\u00f6hler Allee, 79110 Freiburg im Breisgau, Germany","Univ. of Freiburg#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-7170-9242","affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Freiburg, Georges K\u00f6hler Allee, 79110 Freiburg im Breisgau, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Univ. of Freiburg#TAB#","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089975693"],"corresponding_institution_ids":["https://openalex.org/I121883995","https://openalex.org/I4210109712"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":0.7319,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69911437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"361","issue":null,"first_page":"412","last_page":"439"},"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9986000061035156,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9973000288009644,"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":0.7344524264335632},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5859551429748535},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.533607006072998},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.523308277130127},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.49793148040771484},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.48975610733032227},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.48693835735321045},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.48005446791648865},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.46698635816574097},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.44414305686950684},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3877308666706085},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.3043757677078247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21281698346138},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21065908670425415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20830535888671875}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7344524264335632},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5859551429748535},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.533607006072998},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.523308277130127},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.49793148040771484},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.48975610733032227},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.48693835735321045},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.48005446791648865},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.46698635816574097},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.44414305686950684},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3877308666706085},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.3043757677078247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21281698346138},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21065908670425415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20830535888671875},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.dam.2024.10.021","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2024.10.021","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:freidok.uni-freiburg.de:259015","is_oa":true,"landing_page_url":"https://freidok.uni-freiburg.de/data/259015","pdf_url":"https://freidok.uni-freiburg.de/files/259015/L7eGutIrjdskLSud/1-s2.0-S0166218X24004554-main.pdf","source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete applied mathematics. - 361 (2025) , 412-439, ISSN: 0166-218X","raw_type":"article"},{"id":"pmh:oai:iris.unitn.it:11572/454471","is_oa":false,"landing_page_url":"https://hdl.handle.net/11572/454471","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.dam.2024.10.021","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2024.10.021","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6600000262260437,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2355616674","display_name":null,"funder_award_id":"PE00000013","funder_id":"https://openalex.org/F4320326086","funder_display_name":"Provincia Autonoma di Trento"}],"funders":[{"id":"https://openalex.org/F4320326086","display_name":"Provincia Autonoma di Trento","ror":"https://ror.org/017e99q89"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":89,"referenced_works":["https://openalex.org/W169672073","https://openalex.org/W180988575","https://openalex.org/W189719929","https://openalex.org/W1510368738","https://openalex.org/W1517585663","https://openalex.org/W1565010992","https://openalex.org/W1589170163","https://openalex.org/W1593693959","https://openalex.org/W1787074469","https://openalex.org/W1985663731","https://openalex.org/W1999997889","https://openalex.org/W2021874124","https://openalex.org/W2022846948","https://openalex.org/W2044560939","https://openalex.org/W2046239089","https://openalex.org/W2057361103","https://openalex.org/W2062818807","https://openalex.org/W2062897452","https://openalex.org/W2064149002","https://openalex.org/W2089728649","https://openalex.org/W2100404896","https://openalex.org/W2100738443","https://openalex.org/W2105197197","https://openalex.org/W2107470986","https://openalex.org/W2111265695","https://openalex.org/W2112319917","https://openalex.org/W2121869744","https://openalex.org/W2126626789","https://openalex.org/W2140209083","https://openalex.org/W2151398141","https://openalex.org/W2152426072","https://openalex.org/W2186752618","https://openalex.org/W2294335085","https://openalex.org/W2741018875","https://openalex.org/W2741061345","https://openalex.org/W2790974881","https://openalex.org/W2889374987","https://openalex.org/W2904298505","https://openalex.org/W2937129136","https://openalex.org/W2982655353","https://openalex.org/W2996781639","https://openalex.org/W3085485238","https://openalex.org/W3099451540","https://openalex.org/W3102087768","https://openalex.org/W3123509436","https://openalex.org/W4206794571","https://openalex.org/W4245630182","https://openalex.org/W4287863081","https://openalex.org/W6604653282","https://openalex.org/W6606921157","https://openalex.org/W6607342335","https://openalex.org/W6607701225","https://openalex.org/W6608687287","https://openalex.org/W6630480306","https://openalex.org/W6630511988","https://openalex.org/W6631091910","https://openalex.org/W6631156215","https://openalex.org/W6631950719","https://openalex.org/W6632452334","https://openalex.org/W6632470230","https://openalex.org/W6635326540","https://openalex.org/W6635515097","https://openalex.org/W6637293339","https://openalex.org/W6638020115","https://openalex.org/W6638583615","https://openalex.org/W6646559170","https://openalex.org/W6660315270","https://openalex.org/W6662401534","https://openalex.org/W6674923524","https://openalex.org/W6676112844","https://openalex.org/W6676878899","https://openalex.org/W6678304560","https://openalex.org/W6678945743","https://openalex.org/W6679878532","https://openalex.org/W6680989168","https://openalex.org/W6682383673","https://openalex.org/W6685146715","https://openalex.org/W6686277228","https://openalex.org/W6742172080","https://openalex.org/W6742235437","https://openalex.org/W6754301249","https://openalex.org/W6758510413","https://openalex.org/W6769373162","https://openalex.org/W6774827773","https://openalex.org/W6782413522","https://openalex.org/W6789473836","https://openalex.org/W6814292443","https://openalex.org/W6828068646","https://openalex.org/W6853389397"],"related_works":["https://openalex.org/W949976107","https://openalex.org/W1987118140","https://openalex.org/W1869961429","https://openalex.org/W2788816388","https://openalex.org/W2990043628","https://openalex.org/W2951901777","https://openalex.org/W1975118984","https://openalex.org/W229834379","https://openalex.org/W3049436368","https://openalex.org/W4298267346"],"abstract_inverted_index":{"Propositional":[0],"model":[1,74,134],"enumeration,":[2],"or":[3],"All-SAT,":[4],"is":[5,17,48,68],"the":[6,85,99,118,126],"task":[7,20],"to":[8,31,40,83,132],"record":[9],"all":[10],"models":[11,58],"of":[12,101,125,145,150],"a":[13,18,33,38,42,109,146],"propositional":[14],"formula.":[15],"It":[16,35],"key":[19],"in":[21,50,54,64,81],"software":[22],"and":[23,28,148],"hardware":[24],"verification,":[25],"system":[26],"engineering,":[27],"predicate":[29],"abstraction,":[30],"mention":[32],"few.":[34],"also":[36],"provides":[37],"means":[39,144],"convert":[41],"CNF":[43],"formula":[44],"into":[45],"DNF,":[46],"which":[47,77,106],"relevant":[49],"circuit":[51],"design.":[52],"While":[53],"some":[55],"applications":[56],"enumerating":[57],"multiple":[59],"times":[60],"causes":[61],"no":[62],"harm,":[63],"others":[65],"avoiding":[66],"repetitions":[67],"crucial.":[69],"We":[70,121],"therefore":[71],"present":[72,122],"two":[73],"enumeration":[75,135],"algorithms":[76],"adopt":[78],"dual":[79,110],"reasoning":[80],"order":[82],"shorten":[84],"found":[86],"models.":[87,94],"The":[88],"first":[89],"method":[90],"enumerates":[91],"pairwise":[92],"contradicting":[93],"Repetitions":[95],"are":[96,141,152],"avoided":[97],"by":[98,143],"use":[100],"so-called":[102],"blocking":[103,137],"clauses":[104],"for":[105],"we":[107,116],"provide":[108],"encoding.":[111],"In":[112],"our":[113],"second":[114],"approach":[115],"relax":[117],"uniqueness":[119],"constraint.":[120],"an":[123],"adaptation":[124],"standard":[127],"conflict-driven":[128],"clause":[129],"learning":[130],"procedure":[131],"support":[133],"without":[136],"clauses.":[138],"Our":[139],"procedures":[140],"expressed":[142],"calculus":[147],"proofs":[149],"correctness":[151],"provided.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2021-11-08T00:00:00"}