<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">10.18255/1818-1015-2013-6-36-51</article-id><article-id custom-type="elpub" pub-id-type="custom">mais-156</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>Формальная модель и задачи верификации программно-конфигурируемых сетей</article-title><trans-title-group xml:lang="en"><trans-title>A Formal Model and Verification Problems for Software Defined Networks</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>Захаров</surname><given-names>Владимир Анатольевич</given-names></name><name name-style="western" xml:lang="en"><surname>Zakharov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Центр прикладных исследований компьютерных сетей, доцент,</p><p>119991, Москва, ГСП-1, Ленинские горы, д. 1, стр. 52</p></bio><bio xml:lang="en"><p>доцент, Applied Research Center for Computer Networks,</p><p>Leninskiye Gory, 1-52, Moscow, GSP-1, 119991, Russia</p></bio><email xlink:type="simple">zakh@cs.msu.su</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>Смелянский</surname><given-names>Руслан Леонидович</given-names></name><name name-style="western" xml:lang="en"><surname>Smelyansky</surname><given-names>R. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Центр прикладных исследований компьютерных сетей, профессор,</p><p>119991, Москва, ГСП-1, Ленинские горы, д. 1, стр. 52</p></bio><bio xml:lang="en"><p>профессор, Applied Research Center for Computer Networks,</p><p>Leninskiye Gory, 1-52, Moscow, GSP-1, 119991, Russia</p></bio><email xlink:type="simple">rsmeliansky@arccn.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>Чемерицкий</surname><given-names>Евгений Викторович</given-names></name><name name-style="western" xml:lang="en"><surname>Chemeritsky</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Центр прикладных исследований компьютерных сетей, аспирант,</p><p>119991, Москва, ГСП-1, Ленинские горы, д. 1, стр. 52</p></bio><bio xml:lang="en"><p>аспирант, Applied Research Center for Computer Networks,</p><p>Leninskiye Gory, 1-52, Moscow, GSP-1, 119991, Russia</p></bio><email xlink:type="simple">echemeritskiy@arccn.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный университет им. М.В. Ломоносова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Lomonosov Moscow State University</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>36</fpage><lpage>51</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Захаров В.А., Смелянский Р.Л., Чемерицкий Е.В., 2013</copyright-statement><copyright-year>2013</copyright-year><copyright-holder xml:lang="ru">Захаров В.А., Смелянский Р.Л., Чемерицкий Е.В.</copyright-holder><copyright-holder xml:lang="en">Zakharov V.A., Smelyansky R.L., Chemeritsky E.V.</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/156">https://www.mais-journal.ru/jour/article/view/156</self-uri><abstract><p>Программно-коммутируемые сети (ПКС) — это класс компьютерных телекоммуникационных сетей, появившийся несколько лет назад в стремлении упростить проектирование и повысить гибкость управления сетями за счет разделения потоков данных (пакетов) и потоков управления (сообщений и команд), циркулирующих в сетях. ПКС представляет собой распределенную систему, в которой один или несколько контроллеров управляют множеством сетевых коммутаторов, обеспечивающих продвижение пакетов по каналам сети. Функциональные возможности и порядок взаимодействия коммутаторов и контроллеров ПКС определяются протоколом OpenFlow. На основе аппарата булевых функций и дискретных преобразователей нами предложена формальная модель ПКС, введен прототип формального языка спецификаций, поставлены задачи верификации моделей ПКС и получены оценки их сложности. Для одной из задач верификации моделей ПКС описан метод ее решения, на основе которого разработано программно-инструментальное средство верификации ПКС.</p></abstract><trans-abstract xml:lang="en"><p>Software-defined networking (SDN) is an approach to building computer networks that separate and abstract data planes and control planes of these systems. In a SDN a centralized controller manages a distributed set of switches. A set of open commands for packet forwarding and flow-table updating was defined in the form of a protocol known as OpenFlow. In this paper we describe an abstract formal model of SDN, introduce a tentative language for specification of SDN forwarding policies, and set up formally model-checking problems for SDN.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>программно-конфигурируемая сеть</kwd><kwd>коммутатор</kwd><kwd>контроллер</kwd><kwd>правило коммутации</kwd><kwd>пакет</kwd><kwd>формальная модель</kwd><kwd>спецификация</kwd><kwd>верификация моделей</kwd></kwd-group><kwd-group xml:lang="en"><kwd>software defined network</kwd><kwd>switch</kwd><kwd>controller</kwd><kwd>forwarding rule</kwd><kwd>packet</kwd><kwd>formal model</kwd><kwd>specification</kwd><kwd>model checking</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">РФФИ,  фонд «Сколково»</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">OpenFlow Switch Specification. Version 1.4.0, August 5, 2013. www.opennetworking.org.</mixed-citation><mixed-citation xml:lang="en">OpenFlow Switch Specification. Version 1.4.0, August 5, 2013. www.opennetworking.org.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Kim H., Feamster N. Improving network management with software defined networking // Communications Magazine. IEEE, 2013. P. 114—119.</mixed-citation><mixed-citation xml:lang="en">Kim H., Feamster N. Improving network management with software defined networking // Communications Magazine. IEEE, 2013. P. 114—119.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Al-Shaer E., Marrero W., El-Atawy A., El Badawi K. Network Configuration in a Box: Toward End-to-End Verification of Network Reachability and Security // 17th IEEE International Conference on Network Protocols (ICNP’09). Princeton, New Jersey, USA, 2009. P. 123—132.</mixed-citation><mixed-citation xml:lang="en">Al-Shaer E., Marrero W., El-Atawy A., El Badawi K. Network Configuration in a Box: Toward End-to-End Verification of Network Reachability and Security // 17th IEEE International Conference on Network Protocols (ICNP’09). Princeton, New Jersey, USA, 2009. P. 123—132.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Mai H., Khurshid A., Agarwal R., Caesar M., Godfrey R.B., King S.T. Debugging of the Data Plane with Anteater // Proceedings of the ACM SIGCOMM conference. 2011. P. 290—301.</mixed-citation><mixed-citation xml:lang="en">Mai H., Khurshid A., Agarwal R., Caesar M., Godfrey R.B., King S.T. Debugging of the Data Plane with Anteater // Proceedings of the ACM SIGCOMM conference. 2011. P. 290—301.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Kazemian P., Varghese G., McKeown N. Header space analysis: Static checking for networks // Proceedings of 9-th USENIX Symposium on Networked Systems Design and Implementation. 2012.</mixed-citation><mixed-citation xml:lang="en">Kazemian P., Varghese G., McKeown N. Header space analysis: Static checking for networks // Proceedings of 9-th USENIX Symposium on Networked Systems Design and Implementation. 2012.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Khurshid A., Zhou W., Caesar M., Godfrey P.B. VeriFlow: Verifying Network-Wide Invariants in Real Time // Proceedings of International Conference "Hot Topics in Software Defined Networking"(HotSDN). 2012. P. 49—54.</mixed-citation><mixed-citation xml:lang="en">Khurshid A., Zhou W., Caesar M., Godfrey P.B. VeriFlow: Verifying Network-Wide Invariants in Real Time // Proceedings of International Conference "Hot Topics in Software Defined Networking"(HotSDN). 2012. P. 49—54.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Gutz S., Story A., Schlesinger C., Foster N. Splendid isolation: A Slice Abstraction for Software Defined Networks // Proceedings of International Conference "Hot Topics in Software Defined Networking"(HotSDN). 2012. P. 79—84.</mixed-citation><mixed-citation xml:lang="en">Gutz S., Story A., Schlesinger C., Foster N. Splendid isolation: A Slice Abstraction for Software Defined Networks // Proceedings of International Conference "Hot Topics in Software Defined Networking"(HotSDN). 2012. P. 79—84.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Reitblatt M., Foster N., Rexford J.,Walker D. Consistent updates for software-defined networks: change you can believe in! // HotNets. 2011. V. 7.</mixed-citation><mixed-citation xml:lang="en">Reitblatt M., Foster N., Rexford J.,Walker D. Consistent updates for software-defined networks: change you can believe in! // HotNets. 2011. V. 7.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Reitblatt M., Foster N., Rexford J., Schlesinger C., Walker D. Abstractions for Network Update // Proceedings of ACM SIGCOMM conference. 2012. P. 323—334.</mixed-citation><mixed-citation xml:lang="en">Reitblatt M., Foster N., Rexford J., Schlesinger C., Walker D. Abstractions for Network Update // Proceedings of ACM SIGCOMM conference. 2012. P. 323—334.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Canini M., Venzano D., Peresini P., Kostic D., Rexford J. A NICE way to Test OpenFlow Applications // Proceedings of Networked Systems Design and Implementation, April 2012.</mixed-citation><mixed-citation xml:lang="en">Canini M., Venzano D., Peresini P., Kostic D., Rexford J. A NICE way to Test OpenFlow Applications // Proceedings of Networked Systems Design and Implementation, April 2012.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Immerman N. Languages that capture complexity classes // SIAM Journal of Computing. 1987. V. 16, No 4. P. 760—778.</mixed-citation><mixed-citation xml:lang="en">Immerman N. Languages that capture complexity classes // SIAM Journal of Computing. 1987. V. 16, No 4. P. 760—778.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Immerman N., Vardi M. Model checking and transitive closure logic // Lecture Notes in Computer Science. 1997. P. 291—302.</mixed-citation><mixed-citation xml:lang="en">Immerman N., Vardi M. Model checking and transitive closure logic // Lecture Notes in Computer Science. 1997. P. 291—302.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Alechina N., Immerman N. Reachability logic: efficient fragment of transitive closure logic // Logic Journal of IGPL. 2000. V. 8, No 3. P. 325—337.</mixed-citation><mixed-citation xml:lang="en">Alechina N., Immerman N. Reachability logic: efficient fragment of transitive closure logic // Logic Journal of IGPL. 2000. V. 8, No 3. P. 325—337.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Galil Z., Hierarchies of Complete Problems // Acta Informatica. 1976. No 6. P. 77—88.</mixed-citation><mixed-citation xml:lang="en">Galil Z., Hierarchies of Complete Problems // Acta Informatica. 1976. No 6. P. 77—88.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
