{"id":"https://openalex.org/W304959169","doi":"https://doi.org/10.1007/s00224-011-9354-3","title":"On Optimal Heuristic Randomized Semidecision Procedures, with Applications to Proof Complexity and Cryptography","display_name":"On Optimal Heuristic Randomized Semidecision Procedures, with Applications to Proof Complexity and Cryptography","publication_year":2011,"publication_date":"2011-07-28","ids":{"openalex":"https://openalex.org/W304959169","doi":"https://doi.org/10.1007/s00224-011-9354-3","mag":"304959169"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-011-9354-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-011-9354-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"type":"article","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/A5035077817","display_name":"Edward Hirsch","orcid":null},"institutions":[{"id":"https://openalex.org/I2800906181","display_name":"St. Petersburg Department of Steklov Institute of Mathematics","ror":"https://ror.org/030h9s280","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2800906181","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Edward A. Hirsch","raw_affiliation_strings":["Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","institution_ids":["https://openalex.org/I2800906181"]},{"raw_affiliation_string":"Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I2800906181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015046471","display_name":"Dmitry Itsykson","orcid":"https://orcid.org/0000-0003-2680-4800"},"institutions":[{"id":"https://openalex.org/I2800906181","display_name":"St. Petersburg Department of Steklov Institute of Mathematics","ror":"https://ror.org/030h9s280","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2800906181","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Dmitry Itsykson","raw_affiliation_strings":["Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","institution_ids":["https://openalex.org/I2800906181"]},{"raw_affiliation_string":"Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I2800906181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009857772","display_name":"Ivan Monakhov","orcid":null},"institutions":[{"id":"https://openalex.org/I2800906181","display_name":"St. Petersburg Department of Steklov Institute of Mathematics","ror":"https://ror.org/030h9s280","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2800906181","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ivan Monakhov","raw_affiliation_strings":["Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","institution_ids":["https://openalex.org/I2800906181"]},{"raw_affiliation_string":"Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I2800906181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043824593","display_name":"Alexander Smal","orcid":"https://orcid.org/0000-0002-8241-5503"},"institutions":[{"id":"https://openalex.org/I2800906181","display_name":"St. Petersburg Department of Steklov Institute of Mathematics","ror":"https://ror.org/030h9s280","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2800906181","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Smal","raw_affiliation_strings":["Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Steklov Institute of Mathematics at St. Petersburg, St. Petersburg, Russia","institution_ids":["https://openalex.org/I2800906181"]},{"raw_affiliation_string":"Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I2800906181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5035077817"],"corresponding_institution_ids":["https://openalex.org/I2800906181"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4437,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70795463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"2","first_page":"179","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9959999918937683,"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":0.9959999918937683,"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":0.9896000027656555,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9876999855041504,"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/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.7027181386947632},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6610761880874634},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5867212414741516},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.5208749771118164},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5008256435394287},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.49109983444213867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49015888571739197},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.44047489762306213},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43253594636917114},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.41290807723999023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3991337716579437},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1900755763053894},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.07649359107017517}],"concepts":[{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.7027181386947632},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6610761880874634},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5867212414741516},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.5208749771118164},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5008256435394287},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.49109983444213867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49015888571739197},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.44047489762306213},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43253594636917114},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.41290807723999023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3991337716579437},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1900755763053894},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.07649359107017517},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00224-011-9354-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-011-9354-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.188.3070","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.188.3070","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eccc.hpi-web.de/report/2010/193/download/","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.230.1520","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.1520","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://logic.pdmi.ras.ru/%7Edmitrits/papers/acceptor.pdf","raw_type":"text"},{"id":"mag:304959169","is_oa":false,"landing_page_url":"http://dblp.uni-trier.de/db/journals/eccc/eccc17.html#HirschIMS10","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1979324521","https://openalex.org/W1988083342","https://openalex.org/W2015880590","https://openalex.org/W2019340109","https://openalex.org/W2026967932","https://openalex.org/W2041838038","https://openalex.org/W2057550516","https://openalex.org/W2074374872","https://openalex.org/W2087012565","https://openalex.org/W2114142559","https://openalex.org/W2114427270","https://openalex.org/W2134409170","https://openalex.org/W2156369551","https://openalex.org/W2158790598","https://openalex.org/W2171353564","https://openalex.org/W2385171024","https://openalex.org/W2611398525","https://openalex.org/W4241684091"],"related_works":["https://openalex.org/W1995485918","https://openalex.org/W270168689","https://openalex.org/W1496295294","https://openalex.org/W27953970","https://openalex.org/W36294487","https://openalex.org/W2952253660","https://openalex.org/W2092130624","https://openalex.org/W2097232651","https://openalex.org/W2184928630","https://openalex.org/W145900249","https://openalex.org/W3134818819","https://openalex.org/W1966098169","https://openalex.org/W2031137635","https://openalex.org/W1975452925","https://openalex.org/W2019883273","https://openalex.org/W1542401186","https://openalex.org/W2596631569","https://openalex.org/W2949520035","https://openalex.org/W2295747193","https://openalex.org/W4514142"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
