{"id":"https://openalex.org/W4386297941","doi":"https://doi.org/10.1007/978-3-031-42753-4_1","title":"Large-Scale Formal Proof for\u00a0the\u00a0Working Mathematician\u2014Lessons Learnt from\u00a0the\u00a0ALEXANDRIA Project","display_name":"Large-Scale Formal Proof for\u00a0the\u00a0Working Mathematician\u2014Lessons Learnt from\u00a0the\u00a0ALEXANDRIA Project","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386297941","doi":"https://doi.org/10.1007/978-3-031-42753-4_1"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-42753-4_1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-42753-4_1","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-031-42753-4_1","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086565312","display_name":"Lawrence C. Paulson","orcid":"https://orcid.org/0000-0003-0288-4279"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Lawrence C. Paulson","raw_affiliation_strings":["Computer Laboratory, University of Cambridge, Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"Computer Laboratory, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086565312"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31220523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9965999722480774,"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":0.9965999722480774,"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9937999844551086,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9900000095367432,"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/computer-science","display_name":"Computer science","score":0.6975706815719604},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.5223159193992615},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5141292214393616},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.5034169554710388},{"id":"https://openalex.org/keywords/formal-methods","display_name":"Formal methods","score":0.4870915412902832},{"id":"https://openalex.org/keywords/software-engineering","display_name":"Software engineering","score":0.3664631247520447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16184449195861816},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.1605130136013031},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.1501987874507904},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09966656565666199}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6975706815719604},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.5223159193992615},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5141292214393616},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5034169554710388},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.4870915412902832},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.3664631247520447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16184449195861816},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.1605130136013031},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.1501987874507904},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09966656565666199},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-42753-4_1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-42753-4_1","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-42753-4_1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-42753-4_1","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1503170941","https://openalex.org/W1603543937","https://openalex.org/W1768814311","https://openalex.org/W1825294361","https://openalex.org/W2012375297","https://openalex.org/W2033744931","https://openalex.org/W2085089824","https://openalex.org/W2085588050","https://openalex.org/W2090465125","https://openalex.org/W2181620076","https://openalex.org/W2184838578","https://openalex.org/W2747329762","https://openalex.org/W2798801966","https://openalex.org/W2806477068","https://openalex.org/W2902300803","https://openalex.org/W3039393788","https://openalex.org/W3091930284","https://openalex.org/W3102967802","https://openalex.org/W3156224329","https://openalex.org/W3171436380","https://openalex.org/W3185338641","https://openalex.org/W3206346340","https://openalex.org/W3208345691","https://openalex.org/W3217786894","https://openalex.org/W4246673882","https://openalex.org/W4281491203","https://openalex.org/W4284894523","https://openalex.org/W4296118504","https://openalex.org/W4307308174","https://openalex.org/W4313389715","https://openalex.org/W4315630402","https://openalex.org/W4315630564","https://openalex.org/W6839316307","https://openalex.org/W6939902801"],"related_works":["https://openalex.org/W1591622305","https://openalex.org/W2488581006","https://openalex.org/W1587246512","https://openalex.org/W2913714777","https://openalex.org/W61995002","https://openalex.org/W1591152951","https://openalex.org/W1956527144","https://openalex.org/W3123222386","https://openalex.org/W2137086376","https://openalex.org/W1495250406"],"abstract_inverted_index":{"ALEXANDRIA":[0],"is":[1],"an":[2],"ERC-funded":[3],"project":[4],"that":[5,50],"started":[6],"in":[7,26,33],"2017,":[8],"with":[9],"the":[10,27,52,66],"aim":[11],"of":[12,29,43,60],"bringing":[13],"formal":[14],"verification":[15],"to":[16,48],"mathematics.":[17],"The":[18],"past":[19],"six":[20],"years":[21,42],"have":[22],"seen":[23],"great":[24],"strides":[25],"formalisation":[28,45],"mathematics":[30],"and":[31],"also":[32],"some":[34],"relevant":[35],"technologies,":[36],"above":[37],"all":[38],"machine":[39],"learning.":[40],"Six":[41],"intensive":[44],"activity":[46],"seem":[47],"show":[49],"even":[51],"most":[53],"advanced":[54],"results,":[55],"drawing":[56],"on":[57],"multiple":[58],"fields":[59],"mathematics,":[61],"can":[62],"be":[63],"formalised":[64],"using":[65],"tools":[67],"available":[68],"today.":[69]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
