{"id":"https://openalex.org/W1972067194","doi":"https://doi.org/10.1007/bf01211309","title":"Error in the UNITY substitution rule for subscripted operators","display_name":"Error in the UNITY substitution rule for subscripted operators","publication_year":1994,"publication_date":"1994-07-01","ids":{"openalex":"https://openalex.org/W1972067194","doi":"https://doi.org/10.1007/bf01211309","mag":"1972067194"},"language":"en","primary_location":{"id":"doi:10.1007/bf01211309","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01211309","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037788528","display_name":"I. S. W. B. Prasetya","orcid":"https://orcid.org/0000-0002-3421-4635"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"I. S. W. B. Prasetya","raw_affiliation_strings":["Rijksuniversiteit Utrecht Vakgroep Informatica, Postbus 80.089, 3508, TB Utrecht, Nederland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rijksuniversiteit Utrecht Vakgroep Informatica, Postbus 80.089, 3508, TB Utrecht, Nederland","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037788528"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.5303,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70128193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"4","first_page":"466","last_page":"470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10101","display_name":"Cloud Computing and Resource Management","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/substitution","display_name":"Substitution (logic)","score":0.8368062973022461},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.691625714302063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5191768407821655},{"id":"https://openalex.org/keywords/popularity","display_name":"Popularity","score":0.47600993514060974},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.45829424262046814},{"id":"https://openalex.org/keywords/logic-programming","display_name":"Logic programming","score":0.4499165713787079},{"id":"https://openalex.org/keywords/rule-based-system","display_name":"Rule-based system","score":0.4293898940086365},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.421569287776947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3765062689781189},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37618327140808105},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3544042706489563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33680015802383423},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2772051990032196},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.11387276649475098}],"concepts":[{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.8368062973022461},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.691625714302063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5191768407821655},{"id":"https://openalex.org/C2780586970","wikidata":"https://www.wikidata.org/wiki/Q1357284","display_name":"Popularity","level":2,"score":0.47600993514060974},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.45829424262046814},{"id":"https://openalex.org/C128838566","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic programming","level":2,"score":0.4499165713787079},{"id":"https://openalex.org/C149271511","wikidata":"https://www.wikidata.org/wiki/Q1417149","display_name":"Rule-based system","level":2,"score":0.4293898940086365},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.421569287776947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3765062689781189},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37618327140808105},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3544042706489563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33680015802383423},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2772051990032196},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.11387276649475098},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01211309","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01211309","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6299999952316284,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1857327297","https://openalex.org/W2035988561","https://openalex.org/W2157118812"],"related_works":["https://openalex.org/W2368019753","https://openalex.org/W2333930193","https://openalex.org/W2737356002","https://openalex.org/W2246241526","https://openalex.org/W2374150061","https://openalex.org/W4301122218","https://openalex.org/W2081340182","https://openalex.org/W2369703001","https://openalex.org/W2372323577","https://openalex.org/W2321432690"],"abstract_inverted_index":{"Abstract":[0],"UNITY,":[1],"introduced":[2,72,102],"by":[3],"Chandy":[4],"and":[5,62,78,108],"Misra":[6],"[ChM88],":[7],"is":[8,57,67,131],"a":[9,48,80,110],"programming":[10],"logic":[11,56],"intended":[12],"to":[13,42,137],"reason":[14],"about":[15],"temporal":[16,36],"properties":[17,107],"of":[18,75,97,105,113],"distributed":[19],"programs.":[20],"Despite":[21],"the":[22,29,52,60,64,73,88,91,95,103,117,128],"fact":[23],"that":[24,86,125,127],"UNITY":[25,84],"does":[26],"not":[27],"have":[28],"full":[30],"power":[31],"of,":[32],"for":[33,83,116],"example,":[34],"linear":[35],"logic,":[37],"it":[38,66],"enjoys":[39],"popularity":[40],"due":[41],"its":[43],"simplicity.":[44],"There":[45],"was":[46],"however":[47],"serious":[49],"problem":[50,89],"with":[51,63,90],"Substitution":[53,92,114],"Rule.":[54,93],"The":[55],"incomplete":[58],"without":[59],"rule,":[61],"rule":[65],"inconsistent.":[68],"Latterly":[69],"Beverly":[70],"Sanders":[71],"concept":[74,104],"strongest":[76],"invariant":[77],"proposed":[79],"new":[81],"definition":[82],"[San91]":[85],"fixes":[87],"For":[94],"benefit":[96],"program":[98],"union,":[99],"she":[100],"also":[101],"subscripted":[106,118],"claimed":[109],"generalized":[111],"version":[112],"Rule":[115],"properties.":[119],"This":[120],"report":[121],"presents":[122],"an":[123],"example":[124],"shows":[126],"latter":[129],"claim":[130],"false.":[132],"A":[133],"proposal":[134],"as":[135],"how":[136],"fix":[138],"this":[139],"follows.":[140]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}