{"id":"https://openalex.org/W2343784329","doi":"https://doi.org/10.23638/lmcs-13(1:5)2017","title":"A feasible interpolation for random resolution","display_name":"A feasible interpolation for random resolution","publication_year":2017,"publication_date":"2017-02-03","ids":{"openalex":"https://openalex.org/W2343784329","doi":"https://doi.org/10.23638/lmcs-13(1:5)2017","mag":"2343784329"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-13(1:5)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:5)2017","pdf_url":"https://lmcs.episciences.org/3120/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/3120/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069803587","display_name":"Jan Kraj\u0131\u0301\u010dek","orcid":"https://orcid.org/0000-0003-0670-3957"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jan Krajicek","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069803587"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2079,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61132627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Volume 13, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9890000224113464,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9890000224113464,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9740999937057495,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.921500027179718,"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/modulo","display_name":"Modulo","score":0.815115213394165},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.8054975867271423},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7240279912948608},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6308532953262329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5311799049377441},{"id":"https://openalex.org/keywords/anaphora","display_name":"Anaphora (linguistics)","score":0.4419773519039154},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.4113119840621948},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36015450954437256},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34860527515411377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.342888206243515},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3025760054588318},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25769174098968506},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1855904757976532},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12578824162483215},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.07575103640556335},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06853127479553223}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.815115213394165},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.8054975867271423},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7240279912948608},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6308532953262329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5311799049377441},{"id":"https://openalex.org/C2781449363","wikidata":"https://www.wikidata.org/wiki/Q156751","display_name":"Anaphora (linguistics)","level":3,"score":0.4419773519039154},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.4113119840621948},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36015450954437256},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34860527515411377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.342888206243515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3025760054588318},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25769174098968506},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1855904757976532},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12578824162483215},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.07575103640556335},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06853127479553223}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.23638/lmcs-13(1:5)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:5)2017","pdf_url":"https://lmcs.episciences.org/3120/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1604.06560","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1604.06560","pdf_url":"https://arxiv.org/pdf/1604.06560","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:7523","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2017.1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},{"id":"doi:10.48550/arxiv.1604.06560","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1604.06560","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.4230/lipics.ccc.2017.1","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.ccc.2017.1","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"doi:10.23638/lmcs-13(1:5)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:5)2017","pdf_url":"https://lmcs.episciences.org/3120/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1741043573","display_name":null,"funder_award_id":"67985840","funder_id":"https://openalex.org/F4320322482","funder_display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G3157922492","display_name":null,"funder_award_id":"339691","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3829048491","display_name":null,"funder_award_id":"FP7/2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3981126665","display_name":null,"funder_award_id":"Seventh Framework Programme","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5593277320","display_name":null,"funder_award_id":"2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5702163051","display_name":null,"funder_award_id":"FP7/2007","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8634377710","display_name":null,"funder_award_id":"RVO:67985840","funder_id":"https://openalex.org/F4320322482","funder_display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2343784329.pdf","grobid_xml":"https://content.openalex.org/works/W2343784329.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1607926272","https://openalex.org/W2012476164","https://openalex.org/W2044632231","https://openalex.org/W2049016755","https://openalex.org/W2125998724","https://openalex.org/W2142326240"],"related_works":["https://openalex.org/W2117548279","https://openalex.org/W2097470475","https://openalex.org/W1966254356","https://openalex.org/W1601379694","https://openalex.org/W1528321095","https://openalex.org/W2141510042","https://openalex.org/W1590427085","https://openalex.org/W2250257506","https://openalex.org/W2021698997","https://openalex.org/W3174911079"],"abstract_inverted_index":{"Random":[0],"resolution,":[1],"defined":[2],"by":[3,22,32],"Buss,":[4],"Kolodziejczyk":[5],"and":[6,85],"Thapen":[7],"(JSL,":[8,58],"2014),":[9],"is":[10],"a":[11,33,40,64,68],"sound":[12],"propositional":[13],"proof":[14,20],"system":[15,21],"that":[16],"extends":[17],"the":[18,23,48,76],"resolution":[19,73],"possibility":[24],"to":[25,46,60],"augment":[26],"any":[27],"set":[28,34],"of":[29,35,56,75],"initial":[30],"clauses":[31,38],"randomly":[36],"chosen":[37],"(modulo":[39],"technical":[41],"condition).":[42],"We":[43],"show":[44],"how":[45],"apply":[47],"general":[49],"feasible":[50],"interpolation":[51],"theorem":[52],"for":[53,71],"semantic":[54],"derivations":[55],"Krajicek":[57],"1997)":[59],"random":[61,72],"resolution.":[62],"As":[63],"consequence":[65],"we":[66],"get":[67],"lower":[69],"bound":[70],"refutations":[74],"clique-coloring":[77],"formulas.":[78],"Comment:":[79],"Preprint":[80],"April":[81],"2016,":[82],"revised":[83],"September":[84],"October":[86],"2016":[87]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2016-06-24T00:00:00"}