{"id":"https://openalex.org/W2900953594","doi":"https://doi.org/10.1002/malq.201700009","title":"A remark on pseudo proof systems and hard instances of the satisfiability problem","display_name":"A remark on pseudo proof systems and hard instances of the satisfiability problem","publication_year":2018,"publication_date":"2018-11-20","ids":{"openalex":"https://openalex.org/W2900953594","doi":"https://doi.org/10.1002/malq.201700009","mag":"2900953594"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201700009","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.201700009","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.201700009","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.201700009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064789792","display_name":"Jan Maly","orcid":"https://orcid.org/0000-0003-3288-7462"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Jan Maly","raw_affiliation_strings":["Institute of Logic and Computation Technische Universit\u00e4t Wien Favoritenstra\u00dfe 9 1040 Wien Austria"],"raw_orcid":"https://orcid.org/0000-0003-3288-7462","affiliations":[{"raw_affiliation_string":"Institute of Logic and Computation Technische Universit\u00e4t Wien Favoritenstra\u00dfe 9 1040 Wien Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011254078","display_name":"Moritz M\u00fcller","orcid":null},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["AT","ES"],"is_corresponding":false,"raw_author_name":"Moritz M\u00fcller","raw_affiliation_strings":["Computer Science Department Universitat Polit\u00e8cnica de Catalunya Omega\u2013327, Campus Nord, c/ Jordi Girona 1\u20103 08034 Barcelona Spain","Kurt G\u00f6del Research Center University of Vienna W\u00e4hringer Stra\u00dfe 25 1090 Wien Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department Universitat Polit\u00e8cnica de Catalunya Omega\u2013327, Campus Nord, c/ Jordi Girona 1\u20103 08034 Barcelona Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Kurt G\u00f6del Research Center University of Vienna W\u00e4hringer Stra\u00dfe 25 1090 Wien Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064789792"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":{"value":2900,"currency":"USD","value_usd":2900},"fwci":0.3706,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73018379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"64","issue":"6","first_page":"418","last_page":"428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9990000128746033,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7998449206352234},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.7798571586608887},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.7277122735977173},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.5474069118499756},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.45971018075942993},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4153612554073334},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.384219229221344},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07466065883636475}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7998449206352234},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7798571586608887},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7277122735977173},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.5474069118499756},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.45971018075942993},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4153612554073334},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.384219229221344},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07466065883636475},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.201700009","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.201700009","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.201700009","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:dnet:upcommonspor::5823698f70d42fdf3c526c7d7720288c","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/126470","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1002/malq.201700009","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.201700009","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.201700009","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2107128042","display_name":null,"funder_award_id":"ERC-2014-CoG 648276","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G434337789","display_name":null,"funder_award_id":"HORIZON2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5764760168","display_name":"HINT:Heterogenous Information Integration","funder_award_id":"P 25207","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G6454361319","display_name":null,"funder_award_id":"648276","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G659955994","display_name":"Complexity Theory in Feasible Mathematics","funder_award_id":"P 28699","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8025049086","display_name":"Decodyn: Treating Hard Problems with Decomposition and Dynamic Programming","funder_award_id":"Y 698","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2900953594.pdf","grobid_xml":"https://content.openalex.org/works/W2900953594.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W117707387","https://openalex.org/W175851554","https://openalex.org/W579876958","https://openalex.org/W889431080","https://openalex.org/W959768158","https://openalex.org/W987035227","https://openalex.org/W1525108918","https://openalex.org/W1527197079","https://openalex.org/W1560381505","https://openalex.org/W1978403934","https://openalex.org/W1979397185","https://openalex.org/W1988083342","https://openalex.org/W1994831517","https://openalex.org/W1995485918","https://openalex.org/W1995881727","https://openalex.org/W2009304285","https://openalex.org/W2020189547","https://openalex.org/W2021652795","https://openalex.org/W2041313273","https://openalex.org/W2054191060","https://openalex.org/W2060628418","https://openalex.org/W2068573065","https://openalex.org/W2070015147","https://openalex.org/W2083237534","https://openalex.org/W2114451680","https://openalex.org/W2126112123","https://openalex.org/W2156369551","https://openalex.org/W2163083173","https://openalex.org/W2329233923","https://openalex.org/W2341717488","https://openalex.org/W4239934161","https://openalex.org/W4253490792","https://openalex.org/W4298227433"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2075508548","https://openalex.org/W3091082496","https://openalex.org/W3169987674","https://openalex.org/W1850701190","https://openalex.org/W1979038542","https://openalex.org/W2014417337","https://openalex.org/W2005037857","https://openalex.org/W2624806057","https://openalex.org/W1584258388"],"abstract_inverted_index":{"Abstract":[0],"We":[1,42],"link":[2],"two":[3],"concepts":[4],"from":[5],"the":[6,12,45,55],"literature,":[7],"namely":[8],"hard":[9,79],"sequences":[10],"for":[11,22],"satisfiability":[13],"problem":[14],"sat":[15],"and":[16],"so\u2010called":[17],"pseudo":[18,49],"proof":[19,27,50],"systems":[20,28,51],"proposed":[21],"study":[23],"by":[24,37],"Kraj\u00ed\u010dek.":[25],"Pseudo":[26],"are":[29,77],"elements":[30],"of":[31,47,57,68],"a":[32,58,64],"particular":[33],"nonstandard":[34],"model":[35],"constructed":[36],"forcing":[38],"with":[39,63],"random":[40],"variables.":[41],"show":[43],"that":[44],"existence":[46,56],"mad":[48],"is":[52],"equivalent":[53],"to":[54,80],"randomized":[59],"polynomial":[60],"time":[61],"procedure":[62],"highly":[65],"restrictive":[66],"use":[67],"randomness":[69],"which":[70],"produces":[71],"satisfiable":[72],"formulas":[73],"whose":[74],"satisfying":[75],"assignments":[76],"probably":[78],"find.":[81]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}