{"id":"https://openalex.org/W1543075099","doi":"https://doi.org/10.1007/978-3-540-85110-3_10","title":"Search Techniques for Rational Polynomial Orders","display_name":"Search Techniques for Rational Polynomial Orders","publication_year":2008,"publication_date":"2008-07-26","ids":{"openalex":"https://openalex.org/W1543075099","doi":"https://doi.org/10.1007/978-3-540-85110-3_10","mag":"1543075099"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85110-3_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85110-3_10","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":"conference-paper","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/A5045363254","display_name":"Carsten Fuhs","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Carsten Fuhs","raw_affiliation_strings":["LuFG Informatik 2, RWTH Aachen University, Germany","Lufg informatik 2, rwth aachen university, germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LuFG Informatik 2, RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lufg informatik 2, rwth aachen university, germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024291939","display_name":"Rafael Navarro-Marset","orcid":null},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rafael Navarro-Marset","raw_affiliation_strings":["DSIC, Universidad Polit\u00e9cnica de Valencia, Spain","DSIC, Universidad Polit\u00e9cnica de Valencia, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DSIC, Universidad Polit\u00e9cnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]},{"raw_affiliation_string":"DSIC, Universidad Polit\u00e9cnica de Valencia, Spain#TAB#","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110195566","display_name":"Carsten Otto","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Carsten Otto","raw_affiliation_strings":["LuFG Informatik 2, RWTH Aachen University, Germany","Lufg informatik 2, rwth aachen university, germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LuFG Informatik 2, RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lufg informatik 2, rwth aachen university, germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025232172","display_name":"J\u00fcrgen Giesl","orcid":"https://orcid.org/0000-0003-0283-8520"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Giesl","raw_affiliation_strings":["LuFG Informatik 2, RWTH Aachen University, Germany","Lufg informatik 2, rwth aachen university, germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LuFG Informatik 2, RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lufg informatik 2, rwth aachen university, germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012146310","display_name":"Salvador Lucas","orcid":"https://orcid.org/0000-0001-9923-2108"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Salvador Lucas","raw_affiliation_strings":["DSIC, Universidad Polit\u00e9cnica de Valencia, Spain","DSIC, Universidad Polit\u00e9cnica de Valencia, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DSIC, Universidad Polit\u00e9cnica de Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]},{"raw_affiliation_string":"DSIC, Universidad Polit\u00e9cnica de Valencia, Spain#TAB#","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058200123","display_name":"Peter Schneider\u2013Kamp","orcid":"https://orcid.org/0000-0003-4000-5570"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Schneider-Kamp","raw_affiliation_strings":["LuFG Informatik 2, RWTH Aachen University, Germany","Lufg informatik 2, rwth aachen university, germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LuFG Informatik 2, RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Lufg informatik 2, rwth aachen university, germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"109","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T10142","display_name":"Formal Methods in Verification","score":0.9965000152587891,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/polynomial","display_name":"Polynomial","score":0.6573691964149475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5890860557556152},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.5700010657310486},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4810795485973358},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.45881327986717224},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.45822298526763916},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4225251078605652},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3552367091178894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34270191192626953},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29771336913108826},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28473037481307983},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16878294944763184}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6573691964149475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5890860557556152},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.5700010657310486},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4810795485973358},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.45881327986717224},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.45822298526763916},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4225251078605652},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3552367091178894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34270191192626953},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29771336913108826},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28473037481307983},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16878294944763184},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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":5,"locations":[{"id":"doi:10.1007/978-3-540-85110-3_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85110-3_10","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:CiteSeerX.psu:10.1.1.141.3345","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.3345","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://verify.rwth-aachen.de/giesl/papers/AISC-distribute.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.148.2342","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.148.2342","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dsic.upv.es/~slucas/papers/aisc08/aisc08.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1346052","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1346052/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"In: Autexier, S and Campbell, J and Rubio, J and Sorge, V and Suzuki, M and Wiedijk, F, (eds.) (Proceedings) 9th International Conference on Artificial Intelligence and Symbolic Computation/15th Symposium on Integration of Symbolic Computation and Mechanized Research/7th International Conference on Mathematical Knowledge Management. (pp. pp. 109-124). SPRINGER-VERLAG BERLIN (2008)","raw_type":"Proceedings paper"},{"id":"pmh:oai:publications.rwth-aachen.de:119109","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/119109","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W91193428","https://openalex.org/W1483865431","https://openalex.org/W1484559376","https://openalex.org/W1496103894","https://openalex.org/W1544079619","https://openalex.org/W1558166004","https://openalex.org/W1603813317","https://openalex.org/W1606555018","https://openalex.org/W1978221548","https://openalex.org/W1988455648","https://openalex.org/W2001932052","https://openalex.org/W2003804739","https://openalex.org/W2007941273","https://openalex.org/W2028113860","https://openalex.org/W2090855107","https://openalex.org/W2099083823","https://openalex.org/W2121757274","https://openalex.org/W2131807903","https://openalex.org/W2136514805","https://openalex.org/W2164290630","https://openalex.org/W2168096396","https://openalex.org/W2798401172"],"related_works":["https://openalex.org/W4288313061","https://openalex.org/W2952928706","https://openalex.org/W29633042","https://openalex.org/W4386942612","https://openalex.org/W2606903652","https://openalex.org/W4280623962","https://openalex.org/W1585304203","https://openalex.org/W2083214991","https://openalex.org/W2799377959","https://openalex.org/W3037292114"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}