{"id":"https://openalex.org/W84048956","doi":"https://doi.org/10.1007/978-3-540-27818-4_17","title":"Theorem Proving and Proof Verification in the System SAD","display_name":"Theorem Proving and Proof Verification in the System SAD","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W84048956","doi":"https://doi.org/10.1007/978-3-540-27818-4_17","mag":"84048956"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-27818-4_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27818-4_17","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5042030897","display_name":"Alexander Lyaletski","orcid":"https://orcid.org/0000-0003-0370-5041"},"institutions":[{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Alexander Lyaletski","raw_affiliation_strings":["Faculty of Cybernetics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Faculty of Cybernetics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine","institution_ids":["https://openalex.org/I189238007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065888589","display_name":"Andrey Paskevich","orcid":null},"institutions":[{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]},{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]}],"countries":["FR","UA"],"is_corresponding":false,"raw_author_name":"Andrey Paskevich","raw_affiliation_strings":["Faculty of Cybernetics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine","Math-Info Department, Paris 12 University, Creteil, France"],"affiliations":[{"raw_affiliation_string":"Faculty of Cybernetics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine","institution_ids":["https://openalex.org/I189238007"]},{"raw_affiliation_string":"Math-Info Department, Paris 12 University, Creteil, France","institution_ids":["https://openalex.org/I197681013"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032059300","display_name":"Konstantin Verchinine","orcid":null},"institutions":[{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Konstantin Verchinine","raw_affiliation_strings":["Math-Info Department, Paris 12 University, Creteil, France"],"affiliations":[{"raw_affiliation_string":"Math-Info Department, Paris 12 University, Creteil, France","institution_ids":["https://openalex.org/I197681013"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042030897"],"corresponding_institution_ids":["https://openalex.org/I189238007"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9102,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.73831986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"236","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9947999715805054,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9947999715805054,"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.984000027179718,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9404000043869019,"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/computer-science","display_name":"Computer science","score":0.8061866760253906},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7880861759185791},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.7409831285476685},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5542254447937012},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.5229495167732239},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.5086677670478821},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.5010769367218018},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46616727113723755},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3942255675792694},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36812150478363037},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.36759859323501587},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17185276746749878},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.16394847631454468}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8061866760253906},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7880861759185791},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.7409831285476685},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5542254447937012},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.5229495167732239},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.5086677670478821},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5010769367218018},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46616727113723755},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3942255675792694},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36812150478363037},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.36759859323501587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17185276746749878},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.16394847631454468},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-27818-4_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27818-4_17","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W108079860","https://openalex.org/W612139730","https://openalex.org/W615557786","https://openalex.org/W1491353074","https://openalex.org/W1492530167","https://openalex.org/W1494987821","https://openalex.org/W1495433690","https://openalex.org/W1502585746","https://openalex.org/W1517155625","https://openalex.org/W1529009499","https://openalex.org/W1534850143","https://openalex.org/W1539343435","https://openalex.org/W1560253649","https://openalex.org/W1585533089","https://openalex.org/W1603071457","https://openalex.org/W1646117648","https://openalex.org/W1723979372","https://openalex.org/W1768790486","https://openalex.org/W1807555267","https://openalex.org/W1966048066","https://openalex.org/W1968191809","https://openalex.org/W2039977878","https://openalex.org/W2093368813","https://openalex.org/W2120926795","https://openalex.org/W2132712149","https://openalex.org/W2479999086","https://openalex.org/W2493672872","https://openalex.org/W2499957903","https://openalex.org/W2504648778","https://openalex.org/W2618896829","https://openalex.org/W4210795551","https://openalex.org/W4230479732","https://openalex.org/W4250846042","https://openalex.org/W4285719527","https://openalex.org/W4300068885"],"related_works":["https://openalex.org/W3026697850","https://openalex.org/W2906661256","https://openalex.org/W2491370528","https://openalex.org/W1854197585","https://openalex.org/W2809689211","https://openalex.org/W4390724575","https://openalex.org/W1524804222","https://openalex.org/W2105747912","https://openalex.org/W2522499048","https://openalex.org/W4297608983"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}