{"id":"https://openalex.org/W1481042171","doi":"https://doi.org/10.1007/3-540-44612-5_18","title":"Restricted Nondeterministic Read-Once Branching Programs and an Exponential Lower Bound for Integer Multiplication","display_name":"Restricted Nondeterministic Read-Once Branching Programs and an Exponential Lower Bound for Integer Multiplication","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1481042171","doi":"https://doi.org/10.1007/3-540-44612-5_18","mag":"1481042171"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44612-5_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44612-5_18","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/A5079963438","display_name":"Beate Bollig","orcid":"https://orcid.org/0000-0002-4995-5612"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Beate Bollig","raw_affiliation_strings":["FB Informatik, LS2, Univ. Dortmund, Dortmund, Germany","Univ. Dortmund"],"affiliations":[{"raw_affiliation_string":"FB Informatik, LS2, Univ. Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Univ. Dortmund","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079963438"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.6938,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88515498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"222","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9977999925613403,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.996399998664856,"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/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.9539729356765747},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.6988790035247803},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6428197026252747},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.549079179763794},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.5289911031723022},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4670749008655548},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4595756232738495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43308189511299133},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4180406332015991},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4135393798351288},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3743961453437805},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3230156898498535},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15384900569915771},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05652838945388794}],"concepts":[{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.9539729356765747},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.6988790035247803},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6428197026252747},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.549079179763794},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.5289911031723022},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4670749008655548},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4595756232738495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43308189511299133},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4180406332015991},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4135393798351288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3743961453437805},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3230156898498535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15384900569915771},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05652838945388794},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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":1,"locations":[{"id":"doi:10.1007/3-540-44612-5_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44612-5_18","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W32438244","https://openalex.org/W1488809080","https://openalex.org/W1513396692","https://openalex.org/W1517585663","https://openalex.org/W1564708081","https://openalex.org/W1587602953","https://openalex.org/W1587658859","https://openalex.org/W1807276935","https://openalex.org/W1882041575","https://openalex.org/W1968923513","https://openalex.org/W1998134727","https://openalex.org/W2003072733","https://openalex.org/W2008254124","https://openalex.org/W2045152601","https://openalex.org/W2069516228","https://openalex.org/W2072440393","https://openalex.org/W2073505535","https://openalex.org/W2080267935","https://openalex.org/W2095012419","https://openalex.org/W2108016168","https://openalex.org/W2133123458","https://openalex.org/W2138273756","https://openalex.org/W2142151475","https://openalex.org/W2340787257","https://openalex.org/W4210551624","https://openalex.org/W4231079853"],"related_works":["https://openalex.org/W257150968","https://openalex.org/W3140601928","https://openalex.org/W1977451125","https://openalex.org/W2057257783","https://openalex.org/W2168881618","https://openalex.org/W86917440","https://openalex.org/W2057159994","https://openalex.org/W1554633336","https://openalex.org/W2408104189","https://openalex.org/W2109998394"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}