{"id":"https://openalex.org/W2154149088","doi":"https://doi.org/10.1017/s0960129507006305","title":"Behavioural reasoning for conditional equations","display_name":"Behavioural reasoning for conditional equations","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2154149088","doi":"https://doi.org/10.1017/s0960129507006305","mag":"2154149088"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129507006305","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129507006305","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10773/6183","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100617742","display_name":"Manuel A. Martins","orcid":"https://orcid.org/0000-0002-5109-8066"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"MANUEL A. MARTINS","raw_affiliation_strings":["Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal Email:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal Email:","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006929252","display_name":"Don Pigozzi","orcid":"https://orcid.org/0000-0001-9801-0490"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"DON PIGOZZI","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA 50011, U.S.A. Email:","Department of Mathematics, Iowa State University, Ames, IA 50011, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA 50011, U.S.A. Email:","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA 50011, USA","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100617742"],"corresponding_institution_ids":["https://openalex.org/I60858718"],"apc_list":null,"apc_paid":null,"fwci":2.9053,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91906743,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"17","issue":"5","first_page":"1075","last_page":"1113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9994000196456909,"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/coinduction","display_name":"Coinduction","score":0.9230374097824097},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7080097198486328},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.6187226176261902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5441319942474365},{"id":"https://openalex.org/keywords/equational-logic","display_name":"Equational logic","score":0.45230960845947266},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4479823708534241},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42977219820022583},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3875950276851654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3806498944759369},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2918767035007477},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.12932977080345154}],"concepts":[{"id":"https://openalex.org/C40220748","wikidata":"https://www.wikidata.org/wiki/Q4227156","display_name":"Coinduction","level":3,"score":0.9230374097824097},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7080097198486328},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.6187226176261902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5441319942474365},{"id":"https://openalex.org/C154564781","wikidata":"https://www.wikidata.org/wiki/Q5384236","display_name":"Equational logic","level":3,"score":0.45230960845947266},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4479823708534241},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42977219820022583},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3875950276851654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3806498944759369},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2918767035007477},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.12932977080345154},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129507006305","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129507006305","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.68.5096","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.68.5096","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.iastate.edu/dpigozzi/papers/sweconbehequ.ps.gz","raw_type":"text"},{"id":"pmh:oai:ria.ua.pt:10773/6183","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/6183","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:ria.ua.pt:10773/6183","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/6183","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W136338722","https://openalex.org/W174471988","https://openalex.org/W654059483","https://openalex.org/W657159919","https://openalex.org/W1490829364","https://openalex.org/W1529501154","https://openalex.org/W1554619471","https://openalex.org/W1583913464","https://openalex.org/W1816709040","https://openalex.org/W1842577817","https://openalex.org/W1847493312","https://openalex.org/W1971120309","https://openalex.org/W1980425977","https://openalex.org/W2002112801","https://openalex.org/W2029841602","https://openalex.org/W2032432675","https://openalex.org/W2033809864","https://openalex.org/W2073899607","https://openalex.org/W2095704391","https://openalex.org/W2911306852","https://openalex.org/W2914488987","https://openalex.org/W4229783124","https://openalex.org/W4238794324","https://openalex.org/W4300128858","https://openalex.org/W4300692961","https://openalex.org/W6612243831","https://openalex.org/W6833343119"],"related_works":["https://openalex.org/W2499765358","https://openalex.org/W3106193350","https://openalex.org/W1837997878","https://openalex.org/W2349728712","https://openalex.org/W1991226929","https://openalex.org/W1864217700","https://openalex.org/W3023595215","https://openalex.org/W2950431537","https://openalex.org/W2737623643","https://openalex.org/W2109660563"],"abstract_inverted_index":{"Object-oriented":[0],"(OO)":[1],"programming":[2],"techniques":[3],"can":[4],"be":[5],"applied":[6],"to":[7,29,72,80,186,283],"equational":[8,63,188],"specification":[9,54,75,82,115],"logics":[10,55,64,253,288,293],"by":[11,20,48],"distinguishing":[12,21],"visible":[13],"data":[14,17,43],"from":[15,26],"hidden":[16,42,62],"(that":[18],"is,":[19],"the":[22,27,31,38,45,74,113,129,166,173,231,237,256,266,270],"output":[23],"of":[24,41,76,83,116,123,131,150,159,165,176,196,205,214,230,239,265,287],"methods":[25,32,267],"objects":[28],"which":[30,154],"apply),":[33],"and":[34,93,134,137,282,294],"then":[35],"focusing":[36],"on":[37,112,146,280],"behavioural":[39,84,117,167,192],"equivalence":[40,85,118,168],"in":[44,51,57,86,97,104,228,236,277],"sense":[46],"introduced":[47],"H.":[49],"Reichel":[50],"1984.":[52],"Equational":[53],"structured":[56],"this":[58,100,171,278],"way":[59],"are":[60,178,198,209,226],"called":[61],",":[65,153],"HELs.":[66,124,295],"The":[67,125,260],"central":[68],"problem":[69],"is":[70,101,155,203,242,262],"how":[71],"extend":[73],"a":[77,81,87,120,151,156,163,184,219,224,284],"given":[78,204],"HEL":[79,225],"computationally":[88],"effective":[89],"way.":[90],"S.":[91],"Buss":[92],"G.":[94],"Ro\u015fu":[95],"showed":[96],"2000":[98],"that":[99,144,161,208,217,273,289],"not":[102],"possible":[103],"general,":[105],"but":[106],"much":[107],"work":[108,272],"has":[109,274],"been":[110,275],"done":[111,276],"partial":[114],"for":[119,190,223,247,250],"wide":[121],"class":[122,286],"OO":[126],"connection":[127],"suggests":[128],"use":[130],"coalgebraic":[132],"methods,":[133],"J.":[135],"Goguen":[136],"his":[138],"collaborators":[139],"have":[140],"developed":[141,268],"coinductive":[142],"processes":[143],"depend":[145],"an":[147,244,263],"appropriate":[148],"choice":[149],"cobasis":[152,222],"special":[157],"set":[158],"contexts":[160],"generates":[162],"subset":[164],"relation.":[169],"In":[170],"paper":[172,261],"theoretical":[174],"aspects":[175],"coinduction":[177,197],"investigated,":[179],"specifically":[180],"its":[181],"role":[182],"as":[183,255],"supplement":[185],"standard":[187],"logic":[189],"determining":[191],"equivalence.":[193],"Various":[194],"forms":[195],"explored.":[199],"A":[200],"simple":[201],"characterisation":[202],"those":[206],"HELs":[207],"behaviourally":[210],"specifiable.":[211],"Those":[212],"sets":[213],"conditional":[215],"equations":[216],"constitute":[218],"complete,":[220],"finite":[221],"characterised":[227],"terms":[229],"HEL's":[232],"specification.":[233],"Behavioural":[234],"equivalence,":[235,241],"form":[238],"logical":[240],"also":[243],"important":[245],"concept":[246],"single-sorted":[248],"logics,":[249],"example,":[251],"sentential":[252,292],"such":[254],"classical":[257],"propositional":[258],"logic.":[259],"application":[264],"through":[269],"extensive":[271],"area":[279],"HELs,":[281],"broader":[285],"encompasses":[290],"both":[291]},"counts_by_year":[{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
