{"id":"https://openalex.org/W2163168463","doi":"https://doi.org/10.1007/978-3-642-13562-0_7","title":"Algebraic Proofs over Noncommutative Formulas","display_name":"Algebraic Proofs over Noncommutative Formulas","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2163168463","doi":"https://doi.org/10.1007/978-3-642-13562-0_7","mag":"2163168463"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-13562-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13562-0_7","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/A5066962007","display_name":"Iddo Tzameret","orcid":"https://orcid.org/0000-0002-5558-9911"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Iddo Tzameret","raw_affiliation_strings":["Mathematical Institute, Academy of Sciences of the Czech Republic, \u017ditn\u00e1 25, 115 67, Prague 1, Czech Rep"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Academy of Sciences of the Czech Republic, \u017ditn\u00e1 25, 115 67, Prague 1, Czech Rep","institution_ids":["https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066962007"],"corresponding_institution_ids":["https://openalex.org/I4210120266"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3662,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.64,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"60","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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/T11567","display_name":"semigroups and automata theory","score":0.9991999864578247,"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/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.8161373138427734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6426041722297668},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6361045837402344},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.579308807849884},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.5143747925758362},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4948992133140564},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47116169333457947},{"id":"https://openalex.org/keywords/pigeonhole-principle","display_name":"Pigeonhole principle","score":0.4591369926929474},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.449716180562973},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.4332350492477417},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43219539523124695},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23453879356384277},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19481292366981506}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.8161373138427734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6426041722297668},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6361045837402344},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.579308807849884},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.5143747925758362},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4948992133140564},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47116169333457947},{"id":"https://openalex.org/C171988527","wikidata":"https://www.wikidata.org/wiki/Q188276","display_name":"Pigeonhole principle","level":2,"score":0.4591369926929474},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.449716180562973},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.4332350492477417},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43219539523124695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23453879356384277},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19481292366981506},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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":2,"locations":[{"id":"doi:10.1007/978-3-642-13562-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13562-0_7","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"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0374767","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0207603","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W166015792","https://openalex.org/W1495086092","https://openalex.org/W1594732291","https://openalex.org/W1600862964","https://openalex.org/W1968655942","https://openalex.org/W1982672583","https://openalex.org/W1988083342","https://openalex.org/W1990932978","https://openalex.org/W2023541349","https://openalex.org/W2027044307","https://openalex.org/W2029390834","https://openalex.org/W2056382067","https://openalex.org/W2062310247","https://openalex.org/W2074020517","https://openalex.org/W2091628344","https://openalex.org/W2093396771","https://openalex.org/W2098642112","https://openalex.org/W2110206454","https://openalex.org/W2121894367","https://openalex.org/W2132489129","https://openalex.org/W2132655384","https://openalex.org/W2136687801","https://openalex.org/W2140994271","https://openalex.org/W2158912767","https://openalex.org/W2166026605","https://openalex.org/W2167115661","https://openalex.org/W2169713712","https://openalex.org/W2492280620"],"related_works":["https://openalex.org/W4288055874","https://openalex.org/W1662675122","https://openalex.org/W2068071783","https://openalex.org/W2531336559","https://openalex.org/W3013031282","https://openalex.org/W2099785256","https://openalex.org/W2075906306","https://openalex.org/W187835144","https://openalex.org/W2063658344","https://openalex.org/W2165390183"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"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"}
