{"id":"https://openalex.org/W2760695113","doi":"https://doi.org/10.15439/2017f255","title":"An example of the satisfiability problem in the continuous structure","display_name":"An example of the satisfiability problem in the continuous structure","publication_year":2017,"publication_date":"2017-09-24","ids":{"openalex":"https://openalex.org/W2760695113","doi":"https://doi.org/10.15439/2017f255","mag":"2760695113"},"language":"en","primary_location":{"id":"doi:10.15439/2017f255","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2017f255","pdf_url":"https://annals-csis.org/proceedings/2017/drp/pdf/255.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/proceedings/2017/drp/pdf/255.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103970301","display_name":"Marek Balcer","orcid":null},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marek Balcer","raw_affiliation_strings":["Institute of Mathematics, Silesian University of Technology Kaszubska 23, 44-100 Gliwice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Silesian University of Technology Kaszubska 23, 44-100 Gliwice, Poland","institution_ids":["https://openalex.org/I119004910","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103970301"],"corresponding_institution_ids":["https://openalex.org/I119004910","https://openalex.org/I4210137370"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15359418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"91","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.3174000084400177,"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":0.3174000084400177,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.05939999967813492,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6912519335746765},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6542227864265442},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.638542115688324},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.601532518863678},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.596121609210968},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5565387010574341},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5513937473297119},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4858410060405731},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.473501980304718},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.468789666891098},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4558272957801819},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44972893595695496},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43325212597846985},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36430370807647705},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09687736630439758}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6912519335746765},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6542227864265442},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.638542115688324},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.601532518863678},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.596121609210968},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5565387010574341},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5513937473297119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4858410060405731},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.473501980304718},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.468789666891098},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4558272957801819},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44972893595695496},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43325212597846985},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36430370807647705},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09687736630439758},{"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.15439/2017f255","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2017f255","pdf_url":"https://annals-csis.org/proceedings/2017/drp/pdf/255.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.15439/2017f255","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2017f255","pdf_url":"https://annals-csis.org/proceedings/2017/drp/pdf/255.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2760695113.pdf","grobid_xml":"https://content.openalex.org/works/W2760695113.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1516978425","https://openalex.org/W2023923770","https://openalex.org/W2055762574","https://openalex.org/W2152195021","https://openalex.org/W2505409600","https://openalex.org/W2770553723","https://openalex.org/W6725098286"],"related_works":["https://openalex.org/W3176904788","https://openalex.org/W21597398","https://openalex.org/W4298153058","https://openalex.org/W2408080066","https://openalex.org/W2268872489","https://openalex.org/W1913543287","https://openalex.org/W2014111643","https://openalex.org/W2963044240","https://openalex.org/W2076399409","https://openalex.org/W2102364390"],"abstract_inverted_index":{"The":[0],"paper":[1],"presents":[2],"and":[3],"demonstrates":[4],"the":[5,8,11,14,22,27,30,33,45,60,68],"theorem":[6],"showing":[7],"equivalence":[9],"of":[10,13,17,26,36,53,62,71,77],"problem":[12],"verifiability":[15],"test":[16],"a":[18,37,50,63,74],"logical":[19],"expression":[20,43],"in":[21,44],"discrete":[23],"model":[24],"N":[25],"logic":[28],"with":[29,73],"search":[31],"for":[32],"minimum":[34,69],"value":[35,70],"continuous":[38],"function":[39,72],"generated":[40],"by":[41,59],"this":[42],"structure":[46],"M,":[47],"which":[48],"is":[49],"simple":[51],"extension":[52],"N.":[54],"Theoretical":[55],"considerations":[56],"are":[57],"illustrated":[58],"example":[61],"certain":[64],"semi-heuristic":[65],"algorithm":[66],"seeking":[67],"short":[75],"statistics":[76],"its.":[78]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
