{"id":"https://openalex.org/W1987680298","doi":"https://doi.org/10.1134/s0361768807040056","title":"The Alex language for circuit description","display_name":"The Alex language for circuit description","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W1987680298","doi":"https://doi.org/10.1134/s0361768807040056","mag":"1987680298"},"language":"en","primary_location":{"id":"doi:10.1134/s0361768807040056","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768807040056","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261","3034-5847"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5045926666","display_name":"Sh. E. Bozoyan","orcid":null},"institutions":[{"id":"https://openalex.org/I188529364","display_name":"Russian-Armenian University","ror":"https://ror.org/01v4e7289","country_code":"AM","type":"education","lineage":["https://openalex.org/I188529364"]}],"countries":["AM"],"is_corresponding":true,"raw_author_name":"Sh. E. Bozoyan","raw_affiliation_strings":["Russian-Armenian (Slavonic) University, ul. Hovsepa Emina 123, Yerevan, 375051, Armenia","Russian-Armenian (Slavonic) University, Yerevan, Armenia 375051#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Russian-Armenian (Slavonic) University, ul. Hovsepa Emina 123, Yerevan, 375051, Armenia","institution_ids":["https://openalex.org/I188529364"]},{"raw_affiliation_string":"Russian-Armenian (Slavonic) University, Yerevan, Armenia 375051#TAB#","institution_ids":["https://openalex.org/I188529364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008592384","display_name":"V. S. Yeghiazaryan","orcid":null},"institutions":[{"id":"https://openalex.org/I188529364","display_name":"Russian-Armenian University","ror":"https://ror.org/01v4e7289","country_code":"AM","type":"education","lineage":["https://openalex.org/I188529364"]}],"countries":["AM"],"is_corresponding":false,"raw_author_name":"V. S. Yeghiazaryan","raw_affiliation_strings":["Russian-Armenian (Slavonic) University, ul. Hovsepa Emina 123, Yerevan, 375051, Armenia","Russian-Armenian (Slavonic) University, Yerevan, Armenia 375051#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Russian-Armenian (Slavonic) University, ul. Hovsepa Emina 123, Yerevan, 375051, Armenia","institution_ids":["https://openalex.org/I188529364"]},{"raw_affiliation_string":"Russian-Armenian (Slavonic) University, Yerevan, Armenia 375051#TAB#","institution_ids":["https://openalex.org/I188529364"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045926666"],"corresponding_institution_ids":["https://openalex.org/I188529364"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08882107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"4","first_page":"227","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T14117","display_name":"Integrated Circuits and Semiconductor Failure Analysis","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13293","display_name":"Engineering and Test Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.7881726622581482},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.772724986076355},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6852264404296875},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6233222484588623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6107595562934875},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5497364401817322},{"id":"https://openalex.org/keywords/digital-electronics","display_name":"Digital electronics","score":0.457007497549057},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4532710611820221},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.44039005041122437},{"id":"https://openalex.org/keywords/equivalent-circuit","display_name":"Equivalent circuit","score":0.42452242970466614},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4173540472984314},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3963385224342346},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37108922004699707},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.31485605239868164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2934216856956482},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.13232830166816711},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.11676961183547974},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.11479344964027405},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09824293851852417}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7881726622581482},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.772724986076355},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6852264404296875},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6233222484588623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6107595562934875},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5497364401817322},{"id":"https://openalex.org/C81843906","wikidata":"https://www.wikidata.org/wiki/Q173156","display_name":"Digital electronics","level":3,"score":0.457007497549057},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4532710611820221},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.44039005041122437},{"id":"https://openalex.org/C23572009","wikidata":"https://www.wikidata.org/wiki/Q964981","display_name":"Equivalent circuit","level":3,"score":0.42452242970466614},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4173540472984314},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3963385224342346},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37108922004699707},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.31485605239868164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2934216856956482},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.13232830166816711},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.11676961183547974},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.11479344964027405},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09824293851852417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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:10.1134/s0361768807040056","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0361768807040056","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261","3034-5847"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.4000000059604645,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1509600527","https://openalex.org/W2112173236","https://openalex.org/W2126693329","https://openalex.org/W2152406824"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W2024638892","https://openalex.org/W2498744856","https://openalex.org/W763418848","https://openalex.org/W1595229445","https://openalex.org/W149041114","https://openalex.org/W2963177394","https://openalex.org/W1965815883","https://openalex.org/W4313359513","https://openalex.org/W322408318"],"abstract_inverted_index":{"This":[0,11,149],"paper":[1],"considers":[2],"the":[3,16,24,47,93,96,104,109,115,120,138,160,163,187,190],"Alex":[4,105],"language":[5,18,106,128],"designed":[6],"for":[7,56,92],"describing":[8],"digital":[9],"circuits.":[10],"is":[12,107,112,129,141],"a":[13,35,39,43,57,64,70,73,134,144],"generalization":[14],"of":[15,60,72,77,89,95,101,117,126,147,159,165,172,189,192,195],"nonbracket":[17],"notation":[19,37],"(\u201cPolish":[20],"Notation\u201d)":[21],"based":[22],"on":[23,46,162],"deduction":[25],"principle;":[26],"i.e.,":[27],"an":[28],"axiomatic":[29],"theory":[30,68],"has":[31],"been":[32],"constructed":[33],"with":[34,133,174],"circuit":[36,48,97,121,139,161],"being":[38],"theorem.":[40],"We":[41],"prove":[42],"metatheorem":[44],"(theorem":[45],"notation)":[49],"that":[50,130,177],"sets":[51],"necessary":[52],"and":[53],"sufficient":[54],"conditions":[55],"given":[58],"sequence":[59],"symbols":[61,173],"to":[62,114,154,185],"be":[63,82],"theorem":[65,79],"in":[66,103,137,198],"this":[67,78,127],"(i.e.,":[69],"description":[71,100],"circuit).":[74],"The":[75,99],"assumptions":[76],"can":[80],"easily":[81,155],"verified":[83],"and,":[84],"therefore,":[85],"used":[86],"as":[87,143],"means":[88],"syntactic":[90],"control":[91],"correctness":[94],"description.":[98],"circuits":[102,196],"optimal:":[108],"record":[110,140],"length":[111],"equal":[113],"number":[116],"links":[118],"between":[119],"elements.":[122],"A":[123],"specific":[124],"feature":[125,150],"any":[131],"subcircuit":[132],"single":[135],"output":[136],"depicted":[142],"continuous":[145],"segment":[146],"symbols.":[148],"makes":[151],"it":[152],"possible":[153],"perform":[156],"equivalent":[157],"transformations":[158],"basis":[164],"its":[166],"record,":[167],"by":[168],"replacing":[169],"some":[170],"segments":[171,176],"other":[175],"are":[178,183],"functionally":[179],"equivalent.":[180],"Some":[181],"examples":[182],"provided":[184],"demonstrate":[186],"implementation":[188],"algorithm":[191],"functional":[193],"simulation":[194],"described":[197],"Alex.":[199]},"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
