Computational Logic and Proof Theory PDF Download

Author: Georg Gottlob
Publisher:
ISBN:
Category : Automatic theorem proving
Languages : en
Pages : 376

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Book Description
"The Third Kurt G

Author: Association for Symbolic Logic
Publisher: A K Peters/CRC Press
ISBN:
Category : Mathematics
Languages : en
Pages : 504

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Book Description
A compilation of papers presented at the 2001 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium '01 includes surveys and research articles from some of the world's preeminent logicians. Two long articles are based on tutorials given at the meeting and present accessible expositions of research in two active areas of logic, geometric model theory and descriptive set theory of group actions. The remaining articles cover seperate research topics in many areas of mathematical logic, including applications in Computer Science, Proof Theory, Set Theory, Model Theory, Computability Theory, and aspects of Philosophy. This collection will be of interest not only to specialists in mathematical logic, but also to philosophical logicians, historians of logic, computer scientists, formal linguists and mathematicians in the areas of algebra, abstract analysis and topology. A number of the articles are aimed at non-specialists and serve as good introductions for graduate students.

Author: Imre Lakatos
Publisher: Cambridge University Press
ISBN: 9780521078269
Category : Science
Languages : en
Pages : 290

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Book Description
Two books have been particularly influential in contemporary philosophy of science: Karl R. Popper's Logic of Scientific Discovery, and Thomas S. Kuhn's Structure of Scientific Revolutions. Both agree upon the importance of revolutions in science, but differ about the role of criticism in science's revolutionary growth. This volume arose out of a symposium on Kuhn's work, with Popper in the chair, at an international colloquium held in London in 1965. The book begins with Kuhn's statement of his position followed by seven essays offering criticism and analysis, and finally by Kuhn's reply. The book will interest senior undergraduates and graduate students of the philosophy and history of science, as well as professional philosophers, philosophically inclined scientists, and some psychologists and sociologists.

Author: Manuel Lerman
Publisher: Cambridge University Press
ISBN: 1107168139
Category : Mathematics
Languages : en
Pages : 322

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Book Description
This volume presents a systematic study of the interaction between local and global degree theory. It introduces the reader to the fascinating combinatorial methods of recursion theory while simultaneously showing how to use these methods to prove global theorems about degrees.

Author: Jesus M. Larrazabal
Publisher: Springer Science & Business Media
ISBN: 1402027834
Category : Philosophy
Languages : en
Pages : 185

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Book Description
Every two years since 1989, an international colloquium on cognitive science is held in Donostia - San Sebastian, attracting the most important researchers in that field. This volume is a collection of the invited papers to the Sixth International Colloquium on Cognitive Science (ICCS-99), written from a multidisciplinary, cognitive perspective, and addressing various essential topics such as self-knowledge, intention, consciousness, language use, learning and discourse. This collection reflects not only the various interdisciplinary origins and standpoints of the participating researchers, but also the richness, fruitfulness, and exciting state of research in the field of cognitive science today. A must-read for anyone interested in philosophy, linguistics, psychology, and computer science, and in the perception of these topics from the perspective of cognitive science.

Author: Alexander George
Publisher: Oxford University Press, USA
ISBN: 0195079299
Category : Mathematics
Languages : en
Pages : 218

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Book Description
The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.

Author: Nate Charlow
Publisher: Oxford University Press
ISBN: 019871792X
Category : Language Arts & Disciplines
Languages : en
Pages : 443

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Book Description
This volume presents new work on the much-discussed topic of deontic modality: the meaning and function of language relating to what is allowed, required, or obligatory, in view of moral or legal demands. A team of leading experts in philosophy of language, meta-ethics, and linguistics tackle key issues at the heart of the debate.

Author: Juliette Kennedy
Publisher: Cambridge University Press
ISBN: 1107002664
Category : Literary Collections
Languages : en
Pages : 293

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Book Description
In this groundbreaking volume, leading philosophers and mathematicians explore Kurt Gödel's work on the foundations and philosophy of mathematics.

Author: Helmut Schwichtenberg
Publisher: Springer Science & Business Media
ISBN: 9401004137
Category : Mathematics
Languages : en
Pages : 419

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Book Description
As society comes to rely increasingly on software for its welfare and prosperity there is an urgent need to create systems in which it can trust. Experience has shown that confidence can only come from a more profound understanding of the issues, which in turn can come only if it is based on logically sound foundations. This volume contains contributions from leading researchers in the critical disciplines of computing and information science, mathematics, logic, and complexity. All contributions are self-contained, aiming at comprehensibility as well as comprehensiveness. The volume also contains introductory hints to technical issues, concise surveys, introductions, and various fresh results and new perspectives.

Author: Dusko Pavlovic
Publisher: Springer Nature
ISBN: 3031348273
Category : Computers
Languages : en
Pages : 261

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Book Description
It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions. In this unique textbook/reference, programs are drawn as string diagrams in the language of categories, which display a universal syntax of mathematics (Computer scientists use them to analyze the program semantics; programmers to display the syntax of computations). Here, the string-diagrammatic depictions of computations are construed as programs in a single-instruction programming language. Such programs as diagrams show how functions are packed in boxes and tied by strings. Readers familiar with categories will learn about the foundations of computability; readers familiar with computability gain access to category theory. Additionally, readers familiar with both are offered many opportunities to improve the approach. Topics and features: Delivers a ‘crash’ diagram-based course in theory of computation Uses single-instruction diagrammatic programming language Offers a practical introduction into categories and string diagrams as computational tools Reveals how computability is programmability, rather than an ‘ether’ permeating computers Provides a categorical model of intensional computation is unique up to isomorphism Serves as a stepping stone into research of computable categories In addition to its early chapters introducing computability for beginners, this flexible textbook/resource also contains both middle chapters that expand for suitability to a graduate course as well as final chapters opening up new research. Dusko Pavlovic is a professor at the Department of Information and Computer Sciences at the University of Hawaii at Manoa, and by courtesy at the Department of Mathematics and the College of Engineering. He completed this book as an Excellence Professor at Radboud University in Nijmegen, The Netherlands.