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Logic, Automata, and Computational Complexity
Professor Stephen A. Cook is a pioneer of the theory of computational complexity. His work on NP-completeness and the P vs. NP problem remains a central focus of this field. Cook won the 1982 Turing Award for “his advancement of our understanding of the complexity of computation in a significant and profound way.” This volume includes a selection of seminal papers embodying the work that led to this award, exemplifying Cook’s synthesis of ideas and techniques from logic and the theory of computation including NP-completeness, proof complexity, bounded arithmetic, and parallel and space-bounded computation. These papers are accompanied by contributed articles by leading researchers in these areas, which convey to a general reader the importance of Cook’s ideas and their enduring impact on the research community. The book also contains biographical material, Cook’s Turing Award lecture, and an interview. Together these provide a portrait of Cook as a recognized leader and innovator in mathematics and computer science, as well as a gentle mentor and colleague.
Theory of Cryptography
This book constitutes the thoroughly refereed proceedings of the 10th Theory of Cryptography Conference, TCC 2013, held in Tokyo, Japan, in March 2013. The 36 revised full papers presented were carefully reviewed and selected from 98 submissions. The papers cover topics such as study of known paradigms, approaches, and techniques, directed towards their better understanding and utilization; discovery of new paradigms, approaches and techniques that overcome limitations of the existing ones; formulation and treatment of new cryptographic problems; study of notions of security and relations among them; modeling and analysis of cryptographic algorithms; and study of the complexity assumptions used in cryptography.
Theory of Cryptography
The two-volume set LNCS 9985 and LNCS 9986 constitutes the refereed proceedings of the 14th International Conference on Theory of Cryptography, TCC 2016-B, held in Beijing, China, in November 2016. The total of 45 revised full papers presented in the proceedings were carefully reviewed and selected from 113 submissions. The papers were organized in topical sections named: TCC test-of-time award; foundations; unconditional security; foundations of multi-party protocols; round complexity and efficiency of multi-party computation; differential privacy; delegation and IP; public-key encryption; obfuscation and multilinear maps; attribute-based encryption; functional encryption; secret sharing; new models.
Advances in Cryptology -- CRYPTO 2015
The two volume-set, LNCS 9215 and LNCS 9216, constitutes the refereed proceedings of the 35th Annual International Cryptology Conference, CRYPTO 2015, held in Santa Barbara, CA, USA, in August 2015. The 74 revised full papers presented were carefully reviewed and selected from 266 submissions. The papers are organized in the following topical sections: lattice-based cryptography; cryptanalytic insights; modes and constructions; multilinear maps and IO; pseudorandomness; block cipher cryptanalysis; integrity; assumptions; hash functions and stream cipher cryptanalysis; implementations; multiparty computation; zero-knowledge; theory; signatures; non-signaling and information-theoretic crypto; attribute-based encryption; new primitives; and fully homomorphic/functional encryption.
Feasible Mathematics
A so-called "effective" algorithm may require arbitrarily large finite amounts of time and space resources, and hence may not be practical in the real world. A "feasible" algorithm is one which only requires a limited amount of space and/or time for execution; the general idea is that a feasible algorithm is one which may be practical on today's or at least tomorrow's computers. There is no definitive analogue of Church's thesis giving a mathematical definition of feasibility; however, the most widely studied mathematical model of feasible computability is polynomial-time computability. Feasible Mathematics includes both the study of feasible computation from a mathematical and logical point...
Advances in Cryptology – EUROCRYPT 2017
The three-volume proceedings LNCS 10210-10212 constitute the thoroughly refereed proceedings of the 36th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2017, held in Paris, France, in April/May 2017. The 67 full papers included in these volumes were carefully reviewed and selected from 264 submissions. The papers are organized in topical sections named: lattice attacks and constructions; obfuscation and functional encryption; discrete logarithm; multiparty computation; universal composability; zero knowledge; side-channel attacks and countermeasures; functional encryption; elliptic curves; symmetric cryptanalysis; provable security for symmetric cryptography; security models; blockchain; memory hard functions; symmetric-key constructions; obfuscation; quantum cryptography; public-key encryption and key-exchange.
Information Theoretic Security
This book constitutes the thoroughly refereed proceedings of the 8th International Conference on Information Theoretic Security, ICITS 2015, held in Lugano, Switzerland, in May 2015. The 17 full papers presented in this volume were carefully reviewed and selected from 57 submissions. The papers cover a variety of topics at the intersection of cryptography, information theory, and quantum physics.
Combinatorial Algorithms
This book constitutes the thoroughly referred post-workshop proceedings of the 22nd International Workshop on Combinatorial Algorithms, IWOCA 2011, held in Vancouver, BC, Canada, in July 2011. The 30 revised full papers presented were carefully reviewed and selected from a total of 71 submissions. A broad variety of topics in combinatorics and graph theory are addressed, such as combinatorics on words, string algorithms, codes, Venn diagrams, set partitions; Hamiltonian & Eulerian properties, graph drawing, colouring, dominating sets, spanning trees, and others.
Public-Key Cryptography – PKC 2016
The two-volume set LNCS 9614 and 9615 constitutes the refereed proceedings of the 19th IACR International Conference on the Practice and Theory in Public-Key Cryptography, PKC 2016, held in Taipei, Taiwan, in March 2016. The 34 revised papers presented were carefully reviewed and selected from 143 submissions. They are organized in topical sections named: CCA security, functional encryption, identity-based encryption, signatures, cryptanalysis, leakage-resilient and circularly secure encryption, protocols, and primitives.
Proofs and Computations
Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to Π11–CA0. Ordinal analysis and the (Schwichtenberg–Wainer) subrecursive hierarchies play a central role and are used in proving the 'modified finite Ramsey' and 'extended Kruskal' independence results for PA and Π11–CA0. Part III develops the theoretical underpinnings of the first author's proof assistant MINLOG. Three chapters cover higher-type computability via information systems, a constructive theory TCF of computable functionals, realizability, Dialectica interpretation, computationally significant quantifiers and connectives and polytime complexity in a two-sorted, higher-type arithmetic with linear logic.
