{"id":"https://openalex.org/W2144986334","doi":"https://doi.org/10.1007/bf01211605","title":"Proof by analogy in mural","display_name":"Proof by analogy in mural","publication_year":1995,"publication_date":"1995-03-01","ids":{"openalex":"https://openalex.org/W2144986334","doi":"https://doi.org/10.1007/bf01211605","mag":"2144986334"},"language":"en","primary_location":{"id":"doi:10.1007/bf01211605","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf01211605","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/BF01211605","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"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":"Formal Aspects of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1007/BF01211605","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076454480","display_name":"Sunil Vadera","orcid":"https://orcid.org/0000-0001-6041-2646"},"institutions":[{"id":"https://openalex.org/I54459138","display_name":"University of Salford","ror":"https://ror.org/01tmqtf75","country_code":"GB","type":"education","lineage":["https://openalex.org/I54459138"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sunil Vadera","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Salford, M5 4WT, Salford, UK","Department of Mathematics and Computer Science, University of Salford, Salford, UK M5 4WT#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Salford, M5 4WT, Salford, UK","institution_ids":["https://openalex.org/I54459138"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Salford, Salford, UK M5 4WT#TAB#","institution_ids":["https://openalex.org/I54459138"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076454480"],"corresponding_institution_ids":["https://openalex.org/I54459138"],"apc_list":null,"apc_paid":null,"fwci":1.1786,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.84040784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":"2","first_page":"183","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9948999881744385,"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":0.9948999881744385,"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/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9846000075340271,"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/T10260","display_name":"Software Engineering Research","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.958106517791748},{"id":"https://openalex.org/keywords/analogy","display_name":"Analogy","score":0.703723669052124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.685692548751831},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.5134328603744507},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5018129348754883},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.49504509568214417},{"id":"https://openalex.org/keywords/computer-assisted-proof","display_name":"Computer-assisted proof","score":0.4815364480018616},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.47315654158592224},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.4580039978027344},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4501689076423645},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.4162988066673279},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4161989092826843},{"id":"https://openalex.org/keywords/automated-proof-checking","display_name":"Automated proof checking","score":0.4117385745048523},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4090811014175415},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37531375885009766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3338775038719177},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.08547377586364746},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06713271141052246}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.958106517791748},{"id":"https://openalex.org/C521332185","wikidata":"https://www.wikidata.org/wiki/Q185816","display_name":"Analogy","level":2,"score":0.703723669052124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.685692548751831},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.5134328603744507},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5018129348754883},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.49504509568214417},{"id":"https://openalex.org/C173613240","wikidata":"https://www.wikidata.org/wiki/Q1150675","display_name":"Computer-assisted proof","level":3,"score":0.4815364480018616},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.47315654158592224},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.4580039978027344},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4501689076423645},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.4162988066673279},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4161989092826843},{"id":"https://openalex.org/C13766981","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Automated proof checking","level":3,"score":0.4117385745048523},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4090811014175415},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37531375885009766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3338775038719177},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.08547377586364746},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06713271141052246},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bf01211605","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf01211605","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/BF01211605","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"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":"Formal Aspects of Computing","raw_type":"journal-article"},{"id":"pmh:oai:usir.salford.ac.uk:9401","is_oa":true,"landing_page_url":null,"pdf_url":"http://usir.salford.ac.uk/id/eprint/9401/1/newfacpaper95.pdf","source":{"id":"https://openalex.org/S4306401501","display_name":"University of Salford Institutional Repository (University of Salford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I54459138","host_organization_name":"University of Salford","host_organization_lineage":["https://openalex.org/I54459138"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.388.4636","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.388.4636","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://usir.salford.ac.uk/9401/1/newfacpaper95.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/bf01211605","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf01211605","pdf_url":"https://dl.acm.org/doi/pdf/10.1007/BF01211605","source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"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":"Formal Aspects of Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2144986334.pdf","grobid_xml":"https://content.openalex.org/works/W2144986334.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W19223795","https://openalex.org/W170534232","https://openalex.org/W1482429626","https://openalex.org/W1528261040","https://openalex.org/W1574621793","https://openalex.org/W1581769579","https://openalex.org/W1606021777","https://openalex.org/W1848963184","https://openalex.org/W1970495662","https://openalex.org/W1980169328","https://openalex.org/W2071523700","https://openalex.org/W2072634471","https://openalex.org/W2121842499","https://openalex.org/W2144986334"],"related_works":["https://openalex.org/W2119682046","https://openalex.org/W1496026483","https://openalex.org/W2795365301","https://openalex.org/W3100311625","https://openalex.org/W1524804222","https://openalex.org/W187835144","https://openalex.org/W1497292213","https://openalex.org/W3080745458","https://openalex.org/W840295995","https://openalex.org/W2115635255"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"important":[2],"advantage":[3],"of":[4,9,47,119,129],"using":[5],"a":[6,45,48,147,172,177,185],"formal":[7],"method":[8],"developing":[10],"software":[11],"is":[12,51,75,118],"that":[13,17,39,65,164,179],"one":[14,101],"can":[15,32,175],"prove":[16],"development":[18],"steps":[19],"are":[20,58,67],"correct":[21],"with":[22],"respect":[23],"to":[24,36,42,71,76,83,92,98,103,136,157,170,183],"their":[25],"specification.":[26],"Conducting":[27],"proofs":[28,57,117],"by":[29,131],"hand,":[30],"however,":[31],"be":[33],"time":[34,122,139],"consuming":[35],"the":[37,127,138,167,181],"extent":[38],"designers":[40],"have":[41],"judge":[43],"whether":[44],"proof":[46,130,148],"particular":[49],"obligation":[50],"worth":[52,59],"conducting.":[53],"Even":[54],"if":[55],"hand":[56,111],"conducting,":[60],"how":[61],"do":[62],"we":[63],"know":[64],"they":[66],"correct?":[68],"One":[69],"approach":[70],"overcoming":[72],"this":[73],"problem":[74],"use":[77,128],"an":[78,134,155],"automatic":[79],"theorem":[80,96],"proving":[81],"system":[82],"develop":[84,144],"and":[85,145,153],"check":[86,99],"our":[87],"proofs.":[88,112,142],"However,":[89],"in":[90,106,133],"order":[91],"enable":[93],"present":[94,154],"day":[95],"provers":[97],"proofs,":[100],"has":[102],"conduct":[104],"them":[105],"much":[107],"more":[108,115,121],"detail":[109],"than":[110],"Carrying":[113],"out":[114],"detailed":[116],"course":[120],"consuming.":[123],"This":[124],"paper":[125],"describes":[126],"analogy":[132,152],"attempt":[135],"reduce":[137],"spent":[140],"on":[141,151],"We":[143],"implement":[146],"follower":[149,168],"based":[150],"example":[156,162],"illustrate":[158],"its":[159],"characteristics.":[160],"The":[161],"shows":[163],"even":[165],"when":[166],"fails":[169],"complete":[171,184],"proof,":[173],"it":[174],"provide":[176],"hint":[178],"enables":[180],"user":[182],"proof.":[186]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}