{"id":"https://openalex.org/W1604252634","doi":"https://doi.org/10.1007/978-3-540-44616-3_9","title":"Specifying Real Numbers in CASL","display_name":"Specifying Real Numbers in CASL","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1604252634","doi":"https://doi.org/10.1007/978-3-540-44616-3_9","mag":"1604252634"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-44616-3_9","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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"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/A5089343934","display_name":"Markus Roggenbach","orcid":"https://orcid.org/0000-0002-3819-2787"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Roggenbach","raw_affiliation_strings":["(University of Bremen)"],"affiliations":[{"raw_affiliation_string":"(University of Bremen)","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073765060","display_name":"Lutz Schr\u00f6der","orcid":"https://orcid.org/0000-0002-3146-5906"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lutz Schr\u00f6der","raw_affiliation_strings":["(University of Bremen)"],"affiliations":[{"raw_affiliation_string":"(University of Bremen)","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040001719","display_name":"Till Mossakowski","orcid":"https://orcid.org/0000-0002-8938-5204"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Till Mossakowski","raw_affiliation_strings":["(University of Bremen)"],"affiliations":[{"raw_affiliation_string":"(University of Bremen)","institution_ids":["https://openalex.org/I180437899"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392,"provenance":"doaj"},"apc_paid":null,"fwci":1.248,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.554752,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":69,"max":72},"biblio":{"volume":null,"issue":null,"first_page":"146","last_page":"161"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Floating-Point Arithmetic in Scientific Computation","score":0.9991,"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/T11697","display_name":"Floating-Point Arithmetic in Scientific Computation","score":0.9991,"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/T10142","display_name":"Formal Methods in Software Verification and Control","score":0.9774,"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/T11435","display_name":"Symbolic Computing in Algebraic Geometry and Cryptography","score":0.9702,"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/temporal-logic","display_name":"Temporal Logic","score":0.480965}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5448208},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.45746216}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-44616-3_9","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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":7,"referenced_works":["https://openalex.org/W1530886921","https://openalex.org/W1588000771","https://openalex.org/W1778289469","https://openalex.org/W2126160338","https://openalex.org/W2157551893","https://openalex.org/W2501639037","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2530322880","https://openalex.org/W2478288626","https://openalex.org/W2390279801","https://openalex.org/W2382290278","https://openalex.org/W2376932109","https://openalex.org/W2358668433","https://openalex.org/W2350741829","https://openalex.org/W2001405890","https://openalex.org/W1596801655"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,23,78,84],"weak":[3],"theory":[4],"BasicReal":[5,37,91],"of":[6,34,77,94],"the":[7,11,29,47,88,95],"real":[8,96],"numbers":[9,97],"in":[10,67,98],"first":[12],"order":[13,100],"specification":[14],"language":[15],"CASL":[16],".":[17],"The":[18],"aim":[19],"is":[20,72],"to":[21,62],"provide":[22,83],"datatype":[24,90],"for":[25,39],"practical":[26],"purposes,":[27],"including":[28],"central":[30],"notions":[31],"and":[32,42,49,58,65,92,102],"results":[33],"basic":[35],"analysis.":[36],"captures":[38],"instance":[40],"e":[41],"\u03c0,":[43],"as":[44,46,55,74],"well":[45],"trigonometric":[48],"other":[50],"standard":[51],"functions.":[52],"Concepts":[53],"such":[54],"continuity,":[56],"differentiation":[57],"integration":[59],"are":[60],"shown":[61],"be":[63],"definable":[64],"tractable":[66],"this":[68],"setting;":[69],"Newton's":[70],"Method":[71],"presented":[73],"an":[75],"example":[76],"numerical":[79],"application.":[80],"Finally,":[81],"we":[82],"proper":[85],"connection":[86],"between":[87],"specified":[89],"specifications":[93],"higher":[99],"logic":[101],"various":[103],"set":[104],"theories.":[105]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1604252634","counts_by_year":[],"updated_date":"2024-11-26T23:25:59.566546","created_date":"2016-06-24"}
