Lectures on the Complexity of Bilinear Problems PDF Download

Author: Hans F. de Groote
Publisher: Springer Science & Business Media
ISBN: 9783540172055
Category : Computers
Languages : en
Pages : 146

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Author: Peter Bürgisser
Publisher: Springer Science & Business Media
ISBN: 3662033380
Category : Mathematics
Languages : en
Pages : 630

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Book Description
The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.

Author: Gérard Cohen
Publisher: Springer Science & Business Media
ISBN: 9783540601142
Category : Algebra
Languages : en
Pages : 504

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Book Description
This book constitutes the proceedings of the 11th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-11, held in Paris, France in July 1995. The volume presents five invited papers and 32 full revised research papers selected from a total of 68 submissions; it is focussed on research directed to the exploitation of algebraic techniques and methodologies for the application in coding and computer algebra. Among the topics covered are coding, cryptoloy, communication, factorization of polynomials, Gröbner bases, computer algebra, algebraic algorithms, symbolic computation, algebraic manipulation.

Author: Michael S. Paterson
Publisher: Cambridge University Press
ISBN: 0521408261
Category : Computers
Languages : en
Pages : 216

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Here Professor Paterson brings together papers from the 1990 Durham symposium on Boolean function complexity. The participants include many well known figures in the field.

Author: James S. Royer
Publisher: Springer Science & Business Media
ISBN: 9783540182535
Category : Computers
Languages : en
Pages : 196

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Book Description
This book presents developments of a language independent theory of program structure. The theory features a simple, natural notion of control structure which is much broader than in other theories of programming languages such as denotational semantics and program schemes. This notion permits treatment of control structures which involve not only the denotation of programs (i.e., their input/output behavior), but also their structure, size, run times, etc. The theory also treats the relation of control structure and complexity properties of programming languages. The book focuses on expressive interdependencies of control structures (which control structures can be expressed by which others). A general method of proving control structures expressively independent is developed. The book also considers characterizations of the expressive power of general purpose programming languages in terms of control structures. Several new characterizations are presented and two compactness results for such characterizations are shown.

Author: A. Nico Habermann
Publisher: Springer Science & Business Media
ISBN: 9783540183419
Category : Computers
Languages : en
Pages : 316

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Book Description
The collection of papers published in this book was initially presented at the Workshop on Software Factories and Ada, held on Capri, May 26-30, 1986. The subject of the book is software development environments. Software development is treated from three viewpoints: methodologies, language issues and mechanisms. Of particular interest are the discussions of automation of the development process and the formalization of software development specifications. Several new methodologies are described, many of which are available on the commercial market. New is in particular the formalization of the design and development process. Interesting ideas are presented on planning the design process and on supporting project management by formal tools. The reader will find a variety of interesting methodologies and mechanisms that are operational. The book is suitable for readers interested in knowing in which direction programming environment research is moving.

Author: Jean Bezivin
Publisher: Springer Science & Business Media
ISBN: 3540183531
Category : Computers
Languages : en
Pages : 281

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Book Description
This volume contains the proceedings of the first European Conference on Object-Oriented Programming, held in Paris, June 15-17, 1987. The idea of this annual conference series is to provide a forum for theorists and practitioners interested in the object-oriented programming paradigm. The contributions cover the following aspects of object-oriented programming: methodology, implementation, theory, interfaces, languages, simulation, inheritance.

Author: Roberto Sabadini
Publisher: Springer Science & Business Media
ISBN: 9781402012686
Category : Science
Languages : en
Pages : 542

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Book Description
This volume opens up new perspectives on the physics of the Earth's interior for graduate students and researchers working in the fields of geophysics and geodesy. It looks at our planet in an integrated fashion, linking the physics of its interior to the geophysical and geodetic techniques that record, over a broad spectrum of spatial wavelengths, the ongoing modifications in the shape and gravity field of the planet. Basic issues related to the rheological properties of the Earth's mantle and to its slow deformation will be understood, in both mathematical and physical terms, within the framework of an analytical normal mode relaxation theory. Fundamentals of this theory are developed in the first, tutorial part. The second part deals with a wide range of applications, ranging from changes in the Earth's rotation to post-seismic deformation and sea-level variations induced by post-glacial rebound. In the study of the physics of the Earth's interior, the book bridges the gap between seismology and geodynamics.

Author: M. Gyssens (Marc)
Publisher: Springer Science & Business Media
ISBN: 9783540501718
Category : Computers
Languages : en
Pages : 420

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Book Description
This volume is the proceedings of the second International Conference on Database Theory (ICDT) held in Bruges, Belgium, August 31 - September 2, 1988. ICDT intends to provide a European forum for the international research community working on theoretical issues related to database and knowledge base systems. The proceedings of this conference contain all invited and accepted papers, which represent the latest results obtained in ongoing research in database theory worldwide. Most major themes of research in database theory are covered in ICDT '88: the relational model, logic and databases, object-oriented databases, deductive databases, conceptual models, analysis and design of data structures, query languages, concurrency control and updates and transactions.

Author: Benedikt Löwe
Publisher: Springer Science & Business Media
ISBN: 1402027761
Category : Computers
Languages : en
Pages : 266

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Book Description
The notion of complexity is an important contribution of logic to theoretical computer science and mathematics. This volume attempts to approach complexity in a holistic way, investigating mathematical properties of complexity hierarchies at the same time as discussing algorithms and computational properties. A main focus of the volume is on some of the new paradigms of computation, among them Quantum Computing and Infinitary Computation. The papers in the volume are tied together by an introductory article describing abstract properties of complexity hierarchies. This volume will be of great interest to both mathematical logicians and theoretical computer scientists, providing them with new insights into the various views of complexity and thus shedding new light on their own research.