{"id":"https://openalex.org/W1494305638","doi":"https://doi.org/10.1007/3-540-44802-0_33","title":"On a Generalisation of Herbrand\u2019s Theorem","display_name":"On a Generalisation of Herbrand\u2019s Theorem","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1494305638","doi":"https://doi.org/10.1007/3-540-44802-0_33","mag":"1494305638"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44802-0_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44802-0_33","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/A5035315045","display_name":"Matthias Baaz","orcid":"https://orcid.org/0000-0002-7815-2501"},"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":"Matthias Baaz","raw_affiliation_strings":["Institut f\u00fcr Algebra und Computermathematik, Vienna University of Technology, E118.2, Wiedner Hauptstrasse 8-10, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra und Computermathematik, Vienna University of Technology, E118.2, Wiedner Hauptstrasse 8-10, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050172197","display_name":"Georg Moser","orcid":"https://orcid.org/0000-0001-9240-6128"},"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":false,"raw_author_name":"Georg Moser","raw_affiliation_strings":["Institut f\u00fcr Algebra und Computermathematik, Vienna University of Technology, E118.2, Wiedner Hauptstrasse 8-10, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra und Computermathematik, Vienna University of Technology, E118.2, Wiedner Hauptstrasse 8-10, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035315045"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08440959,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"469","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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":0.9983999729156494,"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/T11567","display_name":"semigroups and automata theory","score":0.9937000274658203,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9847000241279602,"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/reduct","display_name":"Reduct","score":0.7996912598609924},{"id":"https://openalex.org/keywords/numeral-system","display_name":"Numeral system","score":0.7481913566589355},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5478798747062683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5006062984466553},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4478434920310974},{"id":"https://openalex.org/keywords/disjunctive-normal-form","display_name":"Disjunctive normal form","score":0.4277052879333496},{"id":"https://openalex.org/keywords/truth-table","display_name":"Truth table","score":0.4125105142593384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.399626761674881},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3972463011741638},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.29648417234420776},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11383166909217834}],"concepts":[{"id":"https://openalex.org/C69177213","wikidata":"https://www.wikidata.org/wiki/Q12880812","display_name":"Reduct","level":3,"score":0.7996912598609924},{"id":"https://openalex.org/C204160518","wikidata":"https://www.wikidata.org/wiki/Q122653","display_name":"Numeral system","level":2,"score":0.7481913566589355},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5478798747062683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5006062984466553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4478434920310974},{"id":"https://openalex.org/C136726353","wikidata":"https://www.wikidata.org/wiki/Q903789","display_name":"Disjunctive normal form","level":2,"score":0.4277052879333496},{"id":"https://openalex.org/C56949724","wikidata":"https://www.wikidata.org/wiki/Q219079","display_name":"Truth table","level":2,"score":0.4125105142593384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.399626761674881},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3972463011741638},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.29648417234420776},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11383166909217834},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-44802-0_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44802-0_33","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":[{"display_name":"Quality Education","score":0.5,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W637530219","https://openalex.org/W830673695","https://openalex.org/W1552843312","https://openalex.org/W1555822290","https://openalex.org/W1570226938","https://openalex.org/W1965800925","https://openalex.org/W1975548675","https://openalex.org/W1975810242","https://openalex.org/W1977190520","https://openalex.org/W1977680017","https://openalex.org/W2021130653","https://openalex.org/W2078618964","https://openalex.org/W2081019971","https://openalex.org/W2085522128","https://openalex.org/W2099078002","https://openalex.org/W2908059907","https://openalex.org/W2908250557","https://openalex.org/W2912819959","https://openalex.org/W2913001986","https://openalex.org/W3039529476","https://openalex.org/W4255132490","https://openalex.org/W4388310377","https://openalex.org/W6655639607","https://openalex.org/W6780119148"],"related_works":["https://openalex.org/W2369884806","https://openalex.org/W2383447474","https://openalex.org/W2168582185","https://openalex.org/W2076156242","https://openalex.org/W2382477188","https://openalex.org/W2056410916","https://openalex.org/W2113774290","https://openalex.org/W2033014810","https://openalex.org/W2005532330","https://openalex.org/W2355595593"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}