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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mais</journal-id><journal-title-group><journal-title xml:lang="ru">Моделирование и анализ информационных систем</journal-title><trans-title-group xml:lang="en"><trans-title>Modeling and Analysis of Information Systems</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1818-1015</issn><issn pub-type="epub">2313-5417</issn><publisher><publisher-name>Yaroslavl State University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18255/1818-1015-2013-6-10-21</article-id><article-id custom-type="elpub" pub-id-type="custom">mais-154</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Оригинальные статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Articles</subject></subj-group></article-categories><title-group><article-title>Общие знания в хорошо структурированных системах с абсолютной памятью</article-title><trans-title-group xml:lang="en"><trans-title>Common Knowledge in Well-structured Perfect Recall Systems</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гаранина</surname><given-names>Наталья Олеговна</given-names></name><name name-style="western" xml:lang="en"><surname>Garanina</surname><given-names>N. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>лаборатория Теоретического программирования, научный сотрудник,</p><p>630090, Россия, г. Новосибирск, проспект Лаврентьева, 6</p></bio><bio xml:lang="en"><p>лаборатория Теоретического программирования, научный сотрудник,</p><p>Acad. Lavrentjev pr., 6, Novosibirsk, 630090, Russia</p></bio><email xlink:type="simple">garanina@iis.nsk.su</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт систем информатики им. А.П. Ершова СО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>A.P. Ershov Institute of Informatics Systems RAS, Siberian Branch</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>20</day><month>12</month><year>2013</year></pub-date><volume>20</volume><issue>6</issue><fpage>10</fpage><lpage>21</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Гаранина Н.О., 2013</copyright-statement><copyright-year>2013</copyright-year><copyright-holder xml:lang="ru">Гаранина Н.О.</copyright-holder><copyright-holder xml:lang="en">Garanina N.O.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.mais-journal.ru/jour/article/view/154">https://www.mais-journal.ru/jour/article/view/154</self-uri><abstract><p>В данной работе исследуется задача проверки моделей для логики общих знаний и неподвижных точек µPLCn в хорошо структурированных мультиагентных системах с абсолютной памятью. Показано, что среда с абсолютной памятью, порожденная хорошо структурированной средой и снабженная специальным PRS-порядком, образует хорошо структурированную среду. Из этого следует, что проверка моделей для дизъюнктивного фрагмента µPLCn разрешима.</p></abstract><trans-abstract xml:lang="en"><p>We investigate a model checking problem for the logic of common knowledge and fixpoints µPLCn in well-structured multiagent systems with perfect recall. In this paper we show that a perfect recall synchronous environment over a well-structured environment forms a well-structured environment provided with a special PRS-order. This implies that the model checking problem for the disjunctive fragment of µPLCn is decidable.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>логика общих знаний</kwd><kwd>мультиагентные системы с абсолютной памятью</kwd><kwd>хорошо структурированные системы</kwd><kwd>проверка моделей</kwd></kwd-group><kwd-group xml:lang="en"><kwd>logic of common knowledge</kwd><kwd>perfect recall</kwd><kwd>well-structured systems</kwd><kwd>model checking</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">РФФИ, Президиум РАН</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Abdulla P.A., Cerˆans K., Jonsson B., and Tsay Yih-Kuen. Algorithmic analysis of programs with well quasi-ordered domains // Information and Computation. 2000. V. 160(1–2). 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