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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.
Social Register, Summer
Include "Dilatory domiciles."
Case Interview Secrets
Cheng, a former McKinsey management consultant, reveals his proven, insider'smethod for acing the case interview.
Applied Cryptography and Network Security
ACNS2009,the7thInternationalConferenceonAppliedCryptographyandN- work Security, was held in Paris-Rocquencourt, France, June 2–5, 2009. ACNS ´ 2009 was organized by the Ecole Normale Sup´ erieure (ENS), the French - tional Center for Scienti?c Research (CNRS), and the French National Institute for Researchin Computer Science andControl(INRIA), in cooperationwith the InternationalAssociation for CryptologicResearch(IACR). The General Chairs of the conference were Pierre-Alain Fouque and Damien Vergnaud. Theconferencereceived150submissionsandeachsubmissionwasassignedto at least three committee members. Submissions co-authored by members of the Program Committee were assigned to at least fo...
Natural and Man-Made Hazards
In recent years, several major natural and man-made hazards have challenged scientists, government officials and the public in general: earthquakes, major volcanic and other seismic eruptions in Mount St. Helens, EI Chichon, Mexico city, Nevado del Ruiz, Japan, Italy, Greece, Cameroon and many other places on our globe; Tsunami in the Pacific Ocean and deadly storm surges along the coasts of India, Bangladesh and Japan; Cyclones, floods, thunderstorms, snow storms, tornadoes, drought, desertification and other climatic catastrophes; Amoco-Cadiz oil spill accident (France), Three-Mile Island (U. S. A. ) and Chernobyl (U. S. S. R. ) nuclear accidents, Bhopal chemical accident (India), acid rain (Canada, U. S. A. ) and other technological disasters. Such hazards have snuffed out millions of lives, infli
Robust Chaos And Its Applications
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems (more than 260 in the whole book) intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular./a
Recent Progress in Computational Sciences and Engineering (2 vols)
This volume brings together selected contributed papers presented at the International Conference of Computational Methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. The conference aims to bring together computational scientists from several disciplines in order to share methods and ideas. The ICCMSE is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. It would be perhaps more appropriate to define the ICCMSE as a conference on computational science and its applications to science and engineering. Topics of general interest...
