{"id":"https://openalex.org/W1496318535","doi":"https://doi.org/10.1007/bfb0055903","title":"Automatic generation of epsilon-delta proofs of continuity","display_name":"Automatic generation of epsilon-delta proofs of continuity","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1496318535","doi":"https://doi.org/10.1007/bfb0055903","mag":"1496318535"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0055903","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0055903","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/A5034098863","display_name":"Michael Beeson","orcid":"https://orcid.org/0000-0001-9259-1220"},"institutions":[{"id":"https://openalex.org/I51504820","display_name":"San Jose State University","ror":"https://ror.org/04qyvz380","country_code":"US","type":"education","lineage":["https://openalex.org/I51504820"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Beeson","raw_affiliation_strings":["Department of Mathematics and Computer Science, San Jose State University, 95192, San Jose, California, USA","San Jos\u00c8 State University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, San Jose State University, 95192, San Jose, California, USA","institution_ids":["https://openalex.org/I51504820"]},{"raw_affiliation_string":"San Jos\u00c8 State University","institution_ids":["https://openalex.org/I51504820"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034098863"],"corresponding_institution_ids":["https://openalex.org/I51504820"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6304,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81098514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"67","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9979000091552734,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9977999925613403,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8253247141838074},{"id":"https://openalex.org/keywords/chaining","display_name":"Chaining","score":0.6543422937393188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6042885780334473},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.49492019414901733},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.48033419251441956},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4773845076560974},{"id":"https://openalex.org/keywords/forward-chaining","display_name":"Forward chaining","score":0.46062058210372925},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.46021783351898193},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.436794251203537},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.43466565012931824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33987855911254883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31872615218162537},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.29675018787384033},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18742123246192932},{"id":"https://openalex.org/keywords/expert-system","display_name":"Expert system","score":0.13841471076011658},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12282761931419373},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09505575895309448}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8253247141838074},{"id":"https://openalex.org/C49020025","wikidata":"https://www.wikidata.org/wiki/Q1059099","display_name":"Chaining","level":2,"score":0.6543422937393188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6042885780334473},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.49492019414901733},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.48033419251441956},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4773845076560974},{"id":"https://openalex.org/C142614401","wikidata":"https://www.wikidata.org/wiki/Q777433","display_name":"Forward chaining","level":3,"score":0.46062058210372925},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.46021783351898193},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.436794251203537},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.43466565012931824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33987855911254883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31872615218162537},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29675018787384033},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18742123246192932},{"id":"https://openalex.org/C58328972","wikidata":"https://www.wikidata.org/wiki/Q184609","display_name":"Expert system","level":2,"score":0.13841471076011658},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12282761931419373},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09505575895309448},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0055903","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0055903","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:10.1.1.30.19","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.19","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://link.springer-ny.com/link/service/series/0558/tocs/../papers/1476/14760067.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W614866130","https://openalex.org/W1483568252","https://openalex.org/W1500227673","https://openalex.org/W1503614434","https://openalex.org/W1522489781","https://openalex.org/W1536871194","https://openalex.org/W1590828018","https://openalex.org/W1600479749","https://openalex.org/W1995340375","https://openalex.org/W2036581362","https://openalex.org/W2052995997","https://openalex.org/W2077378514","https://openalex.org/W2138777938","https://openalex.org/W2556656893","https://openalex.org/W4238827154"],"related_works":["https://openalex.org/W3027955895","https://openalex.org/W2886511220","https://openalex.org/W3159334695","https://openalex.org/W2621131456","https://openalex.org/W4238340239","https://openalex.org/W2613924724","https://openalex.org/W4321015609","https://openalex.org/W4319659930","https://openalex.org/W4296096530","https://openalex.org/W2472912427"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}