This book constitutes the refereed proceedings of the 9th International Conference on Theory and Applications of Models of Computation, TAMC 2012, held in Beijing, China, in May 2012. The conference was combined with the Turing Lectures 2012, dedicated to celebrating Alan Turing s unique impact on mathematics, computing, computer science, informatics, morphogenesis, philosophy, and the wider scientific world. Eight Turing Lectures were given at the TAMC 2012. The 40 revised full papers presented together with invited talks were carefully reviewed and selected from 86 submissions. The papers address 4 special sessions at TAMC 2012 which were algorithms and information in networks, complexity and cryptography, models of computing and networking, programming and verification."

The 7th Annual Conference on Theory and Applications of Models of Compu- tion was held during June 7-11, 2010 in Prague. After six successful conferences held in 2004-2009 in China (Beijing, Kunming, Beijing, Shanghai, Xi'an, and ChangSha) TAMC left Asia for the ?rst time, aiming at the "heart of Europe. " Changingthegeographicallocationdidnotbringanychangestothescopeofthe conference. Its three main themes continued to be Computability, Complexity, and Algorithms. The conference aims to bring together researchersfrom all over the world with interests in theoretical computer science, algorithmic mathem- ics,andapplicationsto thephysicalsciences. Thisyearwesawmoreparticipants from Europe and the Americas, but we were very happy that we could also w- come to Prague traditional participants from Asia (China, Japan, and India) to continue enhancing the collaboration among the theoretical computer science communities of these continents. After hard work the Program Committee decided to accept 35 papers out of 76 submitted to TAMC 2010. Each submission was reviewed by at least three, Program Committee members. All actions of the Program Committee were - ordinated via ?awlessly and e?ciently running EasyChair. We congratulate the authors of accepted contributions and thank all authors who submitted their papers. They all contributed to a successful event. We extend our thanks to the distinguished plenary speakers who accepted our invitation to deliver plenary talks - John Hopcroft from Cornell University and Shang-Hua Teng from University of Southern California. Their talks "New Research Directions in the Information Age" and "The Laplacian Paradigm: Emerging Algorithms for Massive Graph" were highlights of the conference.

Theory and Applications of Models of Computation (TAMC) is an inter- tional conference series with an interdisciplinary character, bringing together researchers working in computer science, mathematics (especially logic), and the physicalsciences. This crossdisciplinarycharacter, together with its focus on algorithms, complexity, and computability theory, gives the conference a special ?avor and distinction. TAMC2008wasthe?fth conferenceintheseries.Thepreviousfourmeetings wereheldduringMay17-19,2004inBeijing, May17-20,2005inKunming, May 15-20,2006 in Beijing, and May 22-25, 2007 in Shanghai. TAMC 2008 was held in Xi'an, during April 25-29, 2008. At TAMC 2008 we had two plenary speakers, Bernard Chazelle and Cynthia Dwork, giving one-hour talkseach. Bernardspokeon "WhyAlgorithms Matter" and Cynthia on "Di?erential Privacy: A Survey of Results." Their respective papers accompanying the talks are included in the proceedings. In addition, there were two special sessions organized by Barry Cooper and Ying Jiang on "Models of Computation" and by Jianer Chen on "Algorithms and Complexity." The invited speakersin the ?rst session wereJoseFelix Costa, Vincent Danos, Luke Ong, Mingsheng Ying, Miklos Santha, and Gilles Dowek. Invited speakers in the second session were Daniel Brown, Dieter Kratsch, - aotie Deng, and Jianer Chen. The TAMC conference series arose naturally in response to important sci- ti?c developments a?ecting how we compute in the twenty-?rst century. At the same time, TAMC is already playing an important regional and international role, and promises to become a key contributor to the scienti?c resurgence seen throughout China and other parts of Asia.

This book constitutes the refereed proceedings of the Third International Conference on Theory and Applications of Models of Computation, TAMC 2006, held in Beijing, China, in May 2006. The 75 revised full papers presented together with 7 plenary talks were carefully reviewed and selected from 319 submissions. All major areas in computer science, mathematics (especially logic) and the physical sciences particularly with regard to computation and computability theory are addressed.

This book constitutes the refereed proceedings of the 11th Annual Conference on Theory and Applications of Models of Computation, TAMC 2014, held in Chennai, India, in April 2014. The 27 revised full papers presented were carefully reviewed and selected from 112 submissions. The papers explore the algorithmic foundations, computational methods and computing devices to meet today's and tomorrow's challenges of complexity, scalability and sustainability, with wide-ranging impacts on everything from the design of biological systems to the understanding of economic markets and social networks.