{"id":"https://openalex.org/W2064045186","doi":"https://doi.org/10.1016/s1571-0661(05)80608-5","title":"The development of interactive algorithms for the Mathematical Environment","display_name":"The development of interactive algorithms for the Mathematical Environment","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2064045186","doi":"https://doi.org/10.1016/s1571-0661(05)80608-5","mag":"2064045186"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)80608-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80608-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(05)80608-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057493460","display_name":"A. A. Letichevsky","orcid":null},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210156878","display_name":"V.M. Glushkov Institute of Cybernetics","ror":"https://ror.org/05xmg2z40","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"A.A. Letichevsky","raw_affiliation_strings":["Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070408518","display_name":"J. V. Kapitonova","orcid":null},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210156878","display_name":"V.M. Glushkov Institute of Cybernetics","ror":"https://ror.org/05xmg2z40","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"J.V. Kapitonova","raw_affiliation_strings":["Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006381768","display_name":"V. A. Volkov","orcid":"https://orcid.org/0000-0002-4766-9284"},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210156878","display_name":"V.M. Glushkov Institute of Cybernetics","ror":"https://ror.org/05xmg2z40","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"V.A. Volkov","raw_affiliation_strings":["Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087169297","display_name":"A. Chugayenko","orcid":null},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210156878","display_name":"V.M. Glushkov Institute of Cybernetics","ror":"https://ror.org/05xmg2z40","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"A. Chugayenko","raw_affiliation_strings":["Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055719943","display_name":"V. Khomenko","orcid":"https://orcid.org/0000-0002-7926-9277"},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210156878","display_name":"V.M. Glushkov Institute of Cybernetics","ror":"https://ror.org/05xmg2z40","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"V. Khomenko","raw_affiliation_strings":["Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine 252022, 40 Glushkov ave., Kiev, Ukraine","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032935196","display_name":"David Gilbert","orcid":"https://orcid.org/0000-0002-3334-5836"},"institutions":[{"id":"https://openalex.org/I180825142","display_name":"City, University of London","ror":"https://ror.org/04489at23","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I180825142"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"D.R. Gilbert","raw_affiliation_strings":["City University Northampton Square, London EC1V 0HB, UK","City University, Northampton Square, London EC1V 0HB, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"City University Northampton Square, London EC1V 0HB, UK","institution_ids":["https://openalex.org/I180825142"]},{"raw_affiliation_string":"City University, Northampton Square, London EC1V 0HB, UK","institution_ids":["https://openalex.org/I180825142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006381768","https://openalex.org/A5032935196","https://openalex.org/A5055719943","https://openalex.org/A5057493460","https://openalex.org/A5070408518","https://openalex.org/A5087169297"],"corresponding_institution_ids":["https://openalex.org/I149851306","https://openalex.org/I180825142","https://openalex.org/I4210156878"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13507633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"3","first_page":"352","last_page":"369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9921000003814697,"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":0.9921000003814697,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9815000295639038,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7720006704330444},{"id":"https://openalex.org/keywords/development","display_name":"Development (topology)","score":0.6247783303260803},{"id":"https://openalex.org/keywords/cybernetics","display_name":"Cybernetics","score":0.5624083876609802},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5444570183753967},{"id":"https://openalex.org/keywords/interactive-programming","display_name":"Interactive programming","score":0.45713484287261963},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4285171627998352},{"id":"https://openalex.org/keywords/mathematical-theory","display_name":"Mathematical theory","score":0.4179687201976776},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35857677459716797},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3388116955757141},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2804314196109772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18086528778076172}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7720006704330444},{"id":"https://openalex.org/C2776542497","wikidata":"https://www.wikidata.org/wiki/Q5266672","display_name":"Development (topology)","level":2,"score":0.6247783303260803},{"id":"https://openalex.org/C115286129","wikidata":"https://www.wikidata.org/wiki/Q123637","display_name":"Cybernetics","level":2,"score":0.5624083876609802},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5444570183753967},{"id":"https://openalex.org/C2779125210","wikidata":"https://www.wikidata.org/wiki/Q16622442","display_name":"Interactive programming","level":2,"score":0.45713484287261963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4285171627998352},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.4179687201976776},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35857677459716797},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3388116955757141},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2804314196109772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18086528778076172},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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:10.1016/s1571-0661(05)80608-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80608-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)80608-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80608-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W258022877","https://openalex.org/W1503973138","https://openalex.org/W1547562281","https://openalex.org/W1606867071","https://openalex.org/W1972478730","https://openalex.org/W1976195354","https://openalex.org/W2006989916","https://openalex.org/W2060561945","https://openalex.org/W2072894397","https://openalex.org/W2074329897","https://openalex.org/W2116166443","https://openalex.org/W2486824739","https://openalex.org/W3000431583","https://openalex.org/W3144368627","https://openalex.org/W4210886820","https://openalex.org/W4301885396","https://openalex.org/W6636326042","https://openalex.org/W6651861169","https://openalex.org/W6665519521"],"related_works":["https://openalex.org/W226730667","https://openalex.org/W1992148920","https://openalex.org/W4387906327","https://openalex.org/W2045833707","https://openalex.org/W2509670760","https://openalex.org/W4387906433","https://openalex.org/W2006997639","https://openalex.org/W2389144530","https://openalex.org/W4386890805","https://openalex.org/W101637405"],"abstract_inverted_index":{"The":[0,32,54,75,99],"Mathematical":[1,113],"Environment":[2],"which":[3,43],"is":[4,13,34,60,102],"under":[5],"development":[6,86],"at":[7],"the":[8,19,26,40,49,61,72,79,82,95,112],"Glushkov":[9],"Institute":[10],"of":[11,16,22,28,57,63,65,84,94,97,107],"Cybernetics":[12],"a":[14,37],"system":[15,33,52],"tools":[17],"supporting":[18],"interactive":[20,109],"manipulation":[21],"knowledge":[23],"represented":[24],"in":[25,89,92],"form":[27],"(formalized)":[29],"mathematical":[30],"texts.":[31],"implemented":[35],"using":[36,48],"simulator":[38],"for":[39,111],"Action":[41],"Language,":[42],"has":[44],"itself":[45],"been":[46],"developed":[47],"algebraic":[50],"programming":[51],"APS.":[53],"theoretical":[55],"background":[56],"this":[58,90],"project":[59,80],"theory":[62,96],"interaction":[64],"agents":[66],"and":[67,71,81],"environments,":[68],"constraint":[69],"solving":[70],"Evidence":[73,100],"Algorithm.":[74],"main":[76],"concepts":[77],"underlying":[78],"methodology":[83],"its":[85],"are":[87],"explained":[88],"paper":[91],"terms":[93],"interaction.":[98],"Algorithm":[101],"considered":[103],"as":[104],"an":[105,108],"example":[106],"algorithm":[110],"Environment.":[114]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
