{"id":"https://openalex.org/W4390045506","doi":"https://doi.org/10.1109/idaacs58523.2023.10348717","title":"Generating Monotone Boolean Functions Using Hasse Diagram","display_name":"Generating Monotone Boolean Functions Using Hasse Diagram","publication_year":2023,"publication_date":"2023-09-07","ids":{"openalex":"https://openalex.org/W4390045506","doi":"https://doi.org/10.1109/idaacs58523.2023.10348717"},"language":"en","primary_location":{"id":"doi:10.1109/idaacs58523.2023.10348717","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idaacs58523.2023.10348717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 12th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5006920027","display_name":"Michal Mrena","orcid":"https://orcid.org/0000-0003-3692-710X"},"institutions":[{"id":"https://openalex.org/I3122011922","display_name":"University of \u017dilina","ror":"https://ror.org/031wwwj55","country_code":"SK","type":"education","lineage":["https://openalex.org/I3122011922"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Michal Mrena","raw_affiliation_strings":["University of Zilina,Faculty of Management Science and Informatics,Zilina,Slovakia","Faculty of Management Science and Informatics, University of Zilina, Zilina, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Zilina,Faculty of Management Science and Informatics,Zilina,Slovakia","institution_ids":["https://openalex.org/I3122011922"]},{"raw_affiliation_string":"Faculty of Management Science and Informatics, University of Zilina, Zilina, Slovakia","institution_ids":["https://openalex.org/I3122011922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090286350","display_name":"Miroslav Kva\u0161\u0161ay","orcid":"https://orcid.org/0000-0002-6450-5417"},"institutions":[{"id":"https://openalex.org/I3122011922","display_name":"University of \u017dilina","ror":"https://ror.org/031wwwj55","country_code":"SK","type":"education","lineage":["https://openalex.org/I3122011922"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Miroslav Kvassay","raw_affiliation_strings":["University of Zilina,Faculty of Management Science and Informatics,Zilina,Slovakia","Faculty of Management Science and Informatics, University of Zilina, Zilina, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Zilina,Faculty of Management Science and Informatics,Zilina,Slovakia","institution_ids":["https://openalex.org/I3122011922"]},{"raw_affiliation_string":"Faculty of Management Science and Informatics, University of Zilina, Zilina, Slovakia","institution_ids":["https://openalex.org/I3122011922"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3122011922"],"apc_list":null,"apc_paid":null,"fwci":1.4167,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81804596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"793","last_page":"797"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9983000159263611,"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":0.9983000159263611,"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9950000047683716,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9886999726295471,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.8166711330413818},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.8156172037124634},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.7465834617614746},{"id":"https://openalex.org/keywords/hasse-diagram","display_name":"Hasse diagram","score":0.6323484182357788},{"id":"https://openalex.org/keywords/product-term","display_name":"Product term","score":0.6200768947601318},{"id":"https://openalex.org/keywords/and-inverter-graph","display_name":"And-inverter graph","score":0.5694498419761658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5584532618522644},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5392524003982544},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.5337188243865967},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46943190693855286},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.44455158710479736},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.42466503381729126},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.4177694320678711},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4113616347312927},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38524073362350464},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3839072287082672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3495565950870514},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.2827948331832886},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.25368982553482056},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.18791934847831726},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.13877105712890625},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10787078738212585}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.8166711330413818},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.8156172037124634},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.7465834617614746},{"id":"https://openalex.org/C140002607","wikidata":"https://www.wikidata.org/wiki/Q901446","display_name":"Hasse diagram","level":3,"score":0.6323484182357788},{"id":"https://openalex.org/C9429942","wikidata":"https://www.wikidata.org/wiki/Q1781698","display_name":"Product term","level":5,"score":0.6200768947601318},{"id":"https://openalex.org/C196836630","wikidata":"https://www.wikidata.org/wiki/Q4753279","display_name":"And-inverter graph","level":4,"score":0.5694498419761658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5584532618522644},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5392524003982544},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.5337188243865967},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46943190693855286},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.44455158710479736},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.42466503381729126},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.4177694320678711},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4113616347312927},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38524073362350464},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3839072287082672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3495565950870514},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.2827948331832886},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25368982553482056},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.18791934847831726},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.13877105712890625},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10787078738212585},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/idaacs58523.2023.10348717","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idaacs58523.2023.10348717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 12th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8229182782","display_name":null,"funder_award_id":"ITMS 313011V422","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W109516207","https://openalex.org/W966413371","https://openalex.org/W1578044518","https://openalex.org/W1602476740","https://openalex.org/W2080267935","https://openalex.org/W2106278732","https://openalex.org/W2151773255","https://openalex.org/W2461031017","https://openalex.org/W2496413842","https://openalex.org/W2605967462","https://openalex.org/W2735665938","https://openalex.org/W2795116393","https://openalex.org/W4246219036","https://openalex.org/W4302771278","https://openalex.org/W4386052461"],"related_works":["https://openalex.org/W3141532631","https://openalex.org/W2131164334","https://openalex.org/W2735569833","https://openalex.org/W155681467","https://openalex.org/W4231391991","https://openalex.org/W83199760","https://openalex.org/W46480492","https://openalex.org/W4388918472","https://openalex.org/W2234833091","https://openalex.org/W2117179527"],"abstract_inverted_index":{"Boolean":[0,21,78],"functions":[1,22,38,79],"play":[2],"an":[3,61,72,103],"important":[4],"role":[5],"in":[6,67],"numerous":[7,64],"research":[8],"areas.":[9],"One":[10],"of":[11,27,34,48,55,63,98,101],"the":[12,25,32,46,49,96,99],"areas":[13],"is":[14],"reliability":[15,56],"analysis":[16,57],"where":[17],"researchers":[18],"frequently":[19],"use":[20],"to":[23,31,45,93],"describe":[24,71,90],"relation":[26],"a":[28,85,91],"system":[29],"state":[30,33],"its":[35],"components.":[36],"The":[37],"they":[39],"encounter":[40],"are":[41],"often":[42,59],"monotone,":[43],"due":[44],"properties":[47],"systems.":[50],"Design,":[51],"verification,":[52],"and":[53,111],"testing":[54],"algorithms":[58],"involve":[60],"examination":[62],"functions.":[65],"Therefore,":[66],"this":[68],"paper,":[69],"we":[70,89],"algorithm":[73],"that":[74],"generates":[75],"all":[76],"monotone":[77],"of$n$variables":[80],"utilizing":[81],"relations":[82],"defined":[83],"by":[84],"Hasse":[86],"diagram.":[87],"Furthermore,":[88],"way":[92],"experimentally":[94],"verify":[95],"correctness":[97],"implementation":[100],"such":[102],"algorithm\u2014and":[104],"similar":[105],"algorithms\u2014by":[106],"using":[107],"logic":[108],"differential":[109],"calculus":[110],"binary":[112],"decision":[113],"diagrams.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}