{"id":"https://openalex.org/W2078597125","doi":"https://doi.org/10.1007/s11334-006-0010-z","title":"Symbolic approximation: an approach to verification in the large","display_name":"Symbolic approximation: an approach to verification in the large","publication_year":2006,"publication_date":"2006-10-27","ids":{"openalex":"https://openalex.org/W2078597125","doi":"https://doi.org/10.1007/s11334-006-0010-z","mag":"2078597125"},"language":"en","primary_location":{"id":"doi:10.1007/s11334-006-0010-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11334-006-0010-z","pdf_url":null,"source":{"id":"https://openalex.org/S151239915","display_name":"Innovations in Systems and Software Engineering","issn_l":"1614-5046","issn":["1614-5046","1614-5054"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Innovations in Systems and Software Engineering","raw_type":"journal-article"},"type":"article","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/A5033170776","display_name":"P\u00e9ter Breuer","orcid":"https://orcid.org/0000-0003-2296-6175"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Peter T. Breuer","raw_affiliation_strings":["Area de Ingenieria Telematica, Dpto. Ingenieria, Universidad Carlos III de Madrid, Butarque 15, Leganes, Madrid, 28911, Spain","Universidad  Carlos  III  de  Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Area de Ingenieria Telematica, Dpto. Ingenieria, Universidad Carlos III de Madrid, Butarque 15, Leganes, Madrid, 28911, Spain","institution_ids":["https://openalex.org/I50357001"]},{"raw_affiliation_string":"Universidad  Carlos  III  de  Madrid","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032839452","display_name":"Simon Pickin","orcid":"https://orcid.org/0000-0002-5506-3602"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Simon Pickin","raw_affiliation_strings":["Area de Ingenieria Telematica, Dpto. Ingenieria, Universidad Carlos III de Madrid, Butarque 15, Leganes, Madrid, 28911, Spain","Universidad  Carlos  III  de  Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Area de Ingenieria Telematica, Dpto. Ingenieria, Universidad Carlos III de Madrid, Butarque 15, Leganes, Madrid, 28911, Spain","institution_ids":["https://openalex.org/I50357001"]},{"raw_affiliation_string":"Universidad  Carlos  III  de  Madrid","institution_ids":["https://openalex.org/I50357001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033170776"],"corresponding_institution_ids":["https://openalex.org/I50357001"],"apc_list":{"value":2790,"currency":"USD","value_usd":2790},"apc_paid":null,"fwci":0.9693,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77058128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":"3-4","first_page":"147","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T10142","display_name":"Formal Methods in Verification","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/T10126","display_name":"Logic, programming, and type systems","score":0.9959999918937683,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.4786083400249481},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.342589795589447},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.322058767080307},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07104101777076721}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4786083400249481},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.342589795589447},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.322058767080307},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07104101777076721},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11334-006-0010-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11334-006-0010-z","pdf_url":null,"source":{"id":"https://openalex.org/S151239915","display_name":"Innovations in Systems and Software Engineering","issn_l":"1614-5046","issn":["1614-5046","1614-5054"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Innovations in Systems and Software Engineering","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/db710871-64fe-4e82-aade-74e3288eff1f","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/db710871-64fe-4e82-aade-74e3288eff1f","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Breuer, P & Pickin, S 2006, 'Symbolic Approximation: An Approach to Verification in the Large', Innovations in Systems and Software Engineering, vol. 2, no. 3-4, pp. 147-163. https://doi.org/10.1007/s11334-006-0010-z","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W73531603","https://openalex.org/W145782308","https://openalex.org/W1577168383","https://openalex.org/W1579850852","https://openalex.org/W1602584413","https://openalex.org/W1963569294","https://openalex.org/W1968898611","https://openalex.org/W2026478719","https://openalex.org/W2043100293","https://openalex.org/W2057948323","https://openalex.org/W2080593426","https://openalex.org/W2082000355","https://openalex.org/W2117189826","https://openalex.org/W2150598796","https://openalex.org/W2156268601","https://openalex.org/W4243167850"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}