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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">10.18255/1818-1015-2012-2-138-144</article-id><article-id custom-type="elpub" pub-id-type="custom">mais-24</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>О верификации LD-программ логических контроллеров</article-title><trans-title-group xml:lang="en"><trans-title>On Verification of PLC-Programs Written in the LD-Language</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>Кузьмин</surname><given-names>Егор Владимирович</given-names></name><name name-style="western" xml:lang="en"><surname>Kuzmin</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д-р физ.-мат. наук, доцент</p></bio><bio xml:lang="en"><p>д-р физ.-мат. наук, доцент</p></bio><email xlink:type="simple">kuzmin@uniyar.ac.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Соколов</surname><given-names>Валерий Анатольевич</given-names></name><name name-style="western" xml:lang="en"><surname>Sokolov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д-р физ.-мат. наук, профессор</p></bio><bio xml:lang="en"><p>д-р физ.-мат. наук, профессор</p></bio><email xlink:type="simple">sokolov@uniyar.ac.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Ярославский государственный университет им. П.Г. Демидова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ярославский государственный университет им. П.Г. Демидова</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2012</year></pub-date><pub-date pub-type="epub"><day>25</day><month>02</month><year>2015</year></pub-date><volume>19</volume><issue>2</issue><fpage>138</fpage><lpage>144</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кузьмин Е.В., Соколов В.А., 2015</copyright-statement><copyright-year>2015</copyright-year><copyright-holder xml:lang="ru">Кузьмин Е.В., Соколов В.А.</copyright-holder><copyright-holder xml:lang="en">Kuzmin E.V., Sokolov V.A.</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/24">https://www.mais-journal.ru/jour/article/view/24</self-uri><abstract><p>Обсуждаются вопросы построения технологии анализа корректности программ логических контроллеров. Рассматривается пример моделирования и верификации ѕдискретныхї LD-программ с таймером с помощью программного средства символьной проверки модели SMV при спецификации свойств на языке темпоральной логики линейного времени LTL.</p></abstract><trans-abstract xml:lang="en"><p>We discuss some questions connected with the construction of a technology of analysing correctness of Programmable Logic Controller programs. We consider an example of modeling and automated verification of PLC-programs written in the Ladder Diagram language (including timed function blocks) of the IEC 61131-3 standard. We use the Cadence SMV for symbolic model checking. Program properties are written in the linear-time temporal logic LTL.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>верификация</kwd><kwd>проверка модели</kwd><kwd>программы логических контроллеров</kwd><kwd>LD-диаграммы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>verification</kwd><kwd>model checking</kwd><kwd>PLC-programs</kwd><kwd>Ladder Diagrams</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">РФФИ</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">Грис Д. Наука программирования. Пер. с англ. М.: Мир, 1984. 416 с.</mixed-citation><mixed-citation xml:lang="en">Грис Д. Наука программирования. Пер. с англ. М.: Мир, 1984. 416 с.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Кларк Э. М., Грамберг О., Пелед Д. 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