Download or read book Theorem Proving in Higher Order Logics written by Stefan Berghofer and published by Springer Science & Business Media. This book was released on 2009-08-04 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2009), which was held during August 17-20, 2009 in Munich, Germany. TPHOLs covers all aspects of theorem proving in higher order logics as well as related topics in theorem proving and veri?cation. There were 55 papers submitted to TPHOLs 2009 in the full research c- egory, each of which was refereed by at least three reviewers selected by the ProgramCommittee. Of these submissions, 26 researchpapers and 1 proofpearl were accepted for presentation at the conference and publication in this v- ume. In keeping with longstanding tradition, TPHOLs 2009 also o?ered a venue for the presentation of emerging trends, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings volume was published as a 2009 technical report of the Technische Universit¨ at Munc ¨ hen. The organizers are grateful to David Basin, John Harrison and Wolfram Schulte for agreeing to give invited talks. We also invited four tool devel- ers to give tutorials about their systems. The following speakers kindly accepted our invitation and we are grateful to them: John Harrison (HOL Light), Adam Naumowicz (Mizar), Ulf Norell (Agda) and Carsten Schur ¨ mann (Twelf).

Download or read book Singular Integrals and Fourier Theory on Lipschitz Boundaries written by Tao Qian and published by Springer. This book was released on 2019-03-20 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential equations. The book elaborates on the basic framework, the Fourier methodology, and the main results in various contexts, especially addressing the following topics: singular integral operators with holomorphic kernels, fractional integral and differential operators with holomorphic kernels, holomorphic and monogenic Fourier multipliers, and Cauchy-Dunford functional calculi of the Dirac operators on Lipschitz curves and surfaces, and the high-dimensional Fueter mapping theorem with applications. The book offers a valuable resource for all graduate students and researchers interested in singular integrals and Fourier multipliers.

Download or read book Interactive Theorem Proving written by Gerwin Klein and published by Springer. This book was released on 2014-06-28 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Conference on Interactive Theorem Proving, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 35 papers presented in this volume were carefully reviewed and selected from 59 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.

Download or read book Logical Modeling of Biological Systems written by Luis Fariñas del Cerro and published by John Wiley & Sons. This book was released on 2014-08-08 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems Biology is the systematic study of the interactions between the components of a biological system and studies how these interactions give rise to the function and behavior of the living system. Through this, a life process is to be understood as a whole system rather than the collection of the parts considered separately. Systems Biology is therefore more than just an emerging field: it represents a new way of thinking about biology with a dramatic impact on the way that research is performed. The logical approach provides an intuitive method to provide explanations based on an expressive relational language. This book covers various aspects of logical modeling of biological systems, bringing together 10 recent logic-based approaches to Systems Biology by leading scientists. The chapters cover the biological fields of gene regulatory networks, signaling networks, metabolic pathways, molecular interaction and network dynamics, and show logical methods for these domains based on propositional and first-order logic, logic programming, answer set programming, temporal logic, Boolean networks, Petri nets, process hitting, and abductive and inductive logic programming. It provides an excellent guide for all scientists, biologists, bioinformaticians, and engineers, who are interested in logic-based modeling of biological systems, and the authors hope that new scientists will be encouraged to join this exciting scientific endeavor.

Download or read book Modern Spherical Functions written by Masaru Takeuchi and published by American Mathematical Soc.. This book was released on 1994 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an exposition of spherical functions on compact symmetric spaces, from the viewpoint of Cartan-Selberg. Representation theory, invariant differential operators, and invariant integral operators play an important role in the exposition. The author treats compact symmetric pairs, spherical representations for compact symmetric pairs, the fundamental groups of compact symmetric spaces, and the radial part of an invariant differential operator. Also explored are the classical results for spheres and complex projective spaces and the relation between spherical functions and harmonic polynomials. This book is suitable as a graduate textbook.

Download or read book Degree constrained editing of small degree graphs written by Nichterlein, Andre and published by Universitätsverlag der TU Berlin. This book was released on 2015-07-03 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with degree-constrained graph modification problems. In particular, we investigate the computational complexity of DAG Realization and Degree Anonymity. The DAG Realization problem is, given a multiset of positive integer pairs, to decide whether there is a realizing directed acyclic graph (DAG), that is, pairs are one-to-one assigned to vertices such that the indegree and the outdegree of every vertex coincides with the two integers of the assigned pair. The Degree Anonymity problem is, given an undirected graph G and two positive integers k and s, to decide whether at most s graph modification operations can be performed in G in order to obtain a k-anonymous graph, that is, a graph where for each vertex there are k − 1 other vertices with the same degree. We classify both problems as NP-complete, that is, there are presumably no polynomial-time algorithms that can solve every instance of these problems. Confronted with this worst-case intractability, we perform a parameterized complexity study in order to detect efficiently solvable special cases that are still practically relevant. The goal herein is to develop fixed-parameter algorithms where the seemingly unavoidable exponential dependency in the running time is confined to a parameter of the input. If the parameter is small, then the corresponding fixed-parameter algorithm is fast. The parameter thus measures some structure in the input whose exploitation makes the particular input tractable. Considering Degree Anonymity, two natural parameters provided with the input are anonymity level k and solution size s. However, we will show that Degree Anonymity is W[1]-hard with respect to the parameter s even if k = 2. This means that the existence of fixed-parameter algorithms for s and k is very unlikely. Thus, other parameters have to be considered. We will show that the parameter maximum vertex degree is very promising for both DAG Realization and Degree Anonymity. Herein, for Degree Anonymity, we consider the maximum degree of the input graph. Considering DAG Realization, we take the maximum degree in a realizing DAG. Due to the problem definition, we can easily determine the maximum degree by taking the maximum over all integers in the given multiset. We provide fixed-parameter algorithms with respect to the maximum degree for DAG Realization and for Anonym E-Ins. The later is the variant of Degree Anonymity when only edge insertions are allowed as modification operations. If we allow edge deletions or vertex deletions as graph modification operations, then we can show that the corresponding variants of Degree Anonymity—called Anonym V-Del and Anonym E-Del—are NP-complete even if the maximum vertex degree is seven. Moreover, we provide strong intractability results for Anonym E-Del and Anonym V-Del proving that they remain NP-complete in several restricted graph classes. Studying the approximability of natural optimization problems associated with Anonym E-Del or Anonym V-Del, we obtain negative results showing that none of the considered problems can be approximated in polynomial time better than within a factor of n^(1/2) where n denotes the number of vertices in the input. Furthermore, for the optimization variants where the solution size s is given and the task is to maximize the anonymity level k, this inapproximability even holds if we allow a running time that is exponential in s. Observe that DAG Realization also can be seen as degree-constrained graph modification problem where only arc insertions are allowed: Starting with an arcless graph, the task is to insert arcs to obtain a realizing DAG for the given multiset. The above classification with respect to the parameter maximum degree shows that in graphs with small maximum degree the modification operation edge respectively arc insertion is easier than vertex or edge deletion. There is a plausible explanation for this behavior: When the maximum degree is small, then there is a high freedom in inserting edges or arcs as for a given vertex almost all other vertices can be chosen as new neighbor. Observe that for DAG Realization the additional requirement that the directed graph shall be acyclic restricts this freedom. In Anonym E-Ins, we do not have restrictions on this freedom. In fact, exploiting this freedom in our implementation for Anonym E-Ins, we show that our theoretical ideas can be turned into successful heuristics and lower bounds. Experiments on several large-scale real-world datasets show that our implementation significantly improves on a recent heuristic and provides (provably) optimal solutions on about 21 % (56 of 260) of the real-world data.

Download or read book The Meromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Subgroups written by Shek-Tung Wong and published by American Mathematical Soc.. This book was released on 1990 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: We carry out, in the context of an algebraic group and an arithmetic subgroup, an idea of Selberg for continuing Eisenstein series. It makes use of the theory of integral operators. The meromorphic continuation and functional equation of an Eisenstein series constructed with a cusp form on the Levi component of a rank one cuspidal subgroup are established.

Download or read book Book Auction Records written by Frank Karslake and published by . This book was released on 1922 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: A priced and annotated annual record of international book auctions.

Download or read book Analysis on Fractals written by Jun Kigami and published by Cambridge University Press. This book was released on 2001-06-07 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.

Download or read book The Design of Communicating Systems written by C.J. Koomen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The professional schools will resume their professional responsibilities just to the degree that they can discover a science of design, a body of intellectually tough, partly formalizable, partly empirical teachable doctrine about the design process. " [H.A. Simon, 1968} Design is aimed at the transformation or translation of a specification or high level description into a description in terms of some real-world primitives. As such it involves the removal of the uncertainty about the way in which a required system can be realized. To optimally support the design of systems, we must look at the design process as a whole and at the strong relationship that exists between a designer, the applied design method, the required design tools and the ways in which designs can be expressed. This book focuses on that relationship. The application field we are concerned with is the design of systems in which the communication between system elements is a major design feature. Examples of such communicating systems are: communication protocols, telephone exchange control systems, process control systems, highly modular systems, embedded software, interactive systems, and VLSI systems. In summary, we are concerned with systems in which concurrency plays a major role (concurrency defines the mutual relationship between the activities in the different parts of a system or within a collection of systems).

Download or read book Algebra Arithmetic and Geometry written by Yuri Tschinkel and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.

Download or read book Grammars with Context Conditions and Their Applications written by Alexander Meduna and published by John Wiley & Sons. This book was released on 2005-08-08 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential guide to grammars with context conditions This advanced computer science book systematically and compactlysummarizes the current knowledge about grammars with contextconditions-an important area of formal language theory. Accordingto the types of context conditions, this self-contained referenceclassifies them into grammars with context conditions placed on thedomains of grammatical derivations, the use of grammaticalproductions, and the neighborhood of the rewritten symbols. Thefocus is on grammatical generative power, important properties,simplification, reduction, implementation, and applications, mostof which are related to microbiology. The text features: * Up-to-date coverage of grammatical concepts based on contextconditions * Self-contained explanations without assumption of any previousknowledge * Clear definitions and exact proofs preceded by intuitiveexplanations * Numerous easy-to-implement grammatical transformations * Realistic applications * Relation to mathematics, linguistics, and biology * Additional material and information about the book available onaccompanying Web site (see preface for details) Practitioners and advanced students in theoretical computer scienceand related areas- including mathematics, linguistics, andmolecular biology-will find Grammars with Context Conditions andTheir Applications an essential reference for this cutting-edgearea of formal language theory.

Download or read book Recent Advances and Future Directions in Causality Prediction and Specification Analysis written by Xiaohong Chen and published by Springer Science & Business Media. This book was released on 2012-08-01 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles that present the most recent cutting edge results on specification and estimation of economic models written by a number of the world’s foremost leaders in the fields of theoretical and methodological econometrics. Recent advances in asymptotic approximation theory, including the use of higher order asymptotics for things like estimator bias correction, and the use of various expansion and other theoretical tools for the development of bootstrap techniques designed for implementation when carrying out inference are at the forefront of theoretical development in the field of econometrics. One important feature of these advances in the theory of econometrics is that they are being seamlessly and almost immediately incorporated into the “empirical toolbox” that applied practitioners use when actually constructing models using data, for the purposes of both prediction and policy analysis and the more theoretically targeted chapters in the book will discuss these developments. Turning now to empirical methodology, chapters on prediction methodology will focus on macroeconomic and financial applications, such as the construction of diffusion index models for forecasting with very large numbers of variables, and the construction of data samples that result in optimal predictive accuracy tests when comparing alternative prediction models. Chapters carefully outline how applied practitioners can correctly implement the latest theoretical refinements in model specification in order to “build” the best models using large-scale and traditional datasets, making the book of interest to a broad readership of economists from theoretical econometricians to applied economic practitioners.

Download or read book Continuous Geometry written by John von Neumann and published by Princeton University Press. This book was released on 1998-05-10 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Newmann founded the field of continuous geometry. For students and researchers interested in ring theory or projective geometries, von Neumann discusses his findings and their applications.

Download or read book ECAI 2020 written by G. De Giacomo and published by IOS Press. This book was released on 2020-09-11 with total page 3122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 24th European Conference on Artificial Intelligence (ECAI 2020), held in Santiago de Compostela, Spain, from 29 August to 8 September 2020. The conference was postponed from June, and much of it conducted online due to the COVID-19 restrictions. The conference is one of the principal occasions for researchers and practitioners of AI to meet and discuss the latest trends and challenges in all fields of AI and to demonstrate innovative applications and uses of advanced AI technology. The book also includes the proceedings of the 10th Conference on Prestigious Applications of Artificial Intelligence (PAIS 2020) held at the same time. A record number of more than 1,700 submissions was received for ECAI 2020, of which 1,443 were reviewed. Of these, 361 full-papers and 36 highlight papers were accepted (an acceptance rate of 25% for full-papers and 45% for highlight papers). The book is divided into three sections: ECAI full papers; ECAI highlight papers; and PAIS papers. The topics of these papers cover all aspects of AI, including Agent-based and Multi-agent Systems; Computational Intelligence; Constraints and Satisfiability; Games and Virtual Environments; Heuristic Search; Human Aspects in AI; Information Retrieval and Filtering; Knowledge Representation and Reasoning; Machine Learning; Multidisciplinary Topics and Applications; Natural Language Processing; Planning and Scheduling; Robotics; Safe, Explainable, and Trustworthy AI; Semantic Technologies; Uncertainty in AI; and Vision. The book will be of interest to all those whose work involves the use of AI technology.

Download or read book Semigroups Categories and Partial Algebras written by P. G. Romeo and published by Springer Nature. This book was released on 2021-03-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.

Download or read book Principles of Analysis written by Hugo D. Junghenn and published by CRC Press. This book was released on 2018-04-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis. The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter . Features: Contains direct and concise proofs with attention to detail Features a substantial variety of interesting and nontrivial examples Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises Provides an eclectic set of special topics and applications About the Author: Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.