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| Author | : Raymond M. Smullyan |
| Publisher | : Princeton University Press |
| Total Pages | : 160 |
| Release | : 1961 |
| Genre | : Mathematics |
| ISBN | : 9780691080475 |
This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.
| Author | : Rob Nederpelt |
| Publisher | : Cambridge University Press |
| Total Pages | : 465 |
| Release | : 2014-11-06 |
| Genre | : Computers |
| ISBN | : 1316061086 |
Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.
| Author | : Raymond M. Smullyan |
| Publisher | : Princeton University Press |
| Total Pages | : 156 |
| Release | : 2016-03-02 |
| Genre | : Science |
| ISBN | : 1400882001 |
This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.
| Author | : Calin Belta |
| Publisher | : Springer |
| Total Pages | : 284 |
| Release | : 2017-03-08 |
| Genre | : Technology & Engineering |
| ISBN | : 331950763X |
This book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models. The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.
| Author | : Robert Rosen |
| Publisher | : Elsevier |
| Total Pages | : 447 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 1483286274 |
The first detailed study of this most important class of systems which contain internal predictive models of themselves and/or of their environments and whose predictions are utilized for purposes of present control. This book develops the basic concept of a predictive model, and shows how it can be embedded into a system of feedforward control. Includes many examples and stresses analogies between wired-in anticipatory control and processes of learning and adaption, at both individual and social levels. Shows how the basic theory of such systems throws a new light both on analytic problems (understanding what is going on in an organism or a social system) and synthetic ones (developing forecasting methods for making individual or collective decisions).
| Author | : Werner M. Seiler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 663 |
| Release | : 2009-10-26 |
| Genre | : Mathematics |
| ISBN | : 3642012876 |
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.
| Author | : |
| Publisher | : Univalent Foundations |
| Total Pages | : 484 |
| Release | : |
| Genre | : |
| ISBN | : |
| Author | : Catarina Dutilh Novaes |
| Publisher | : Cambridge University Press |
| Total Pages | : 285 |
| Release | : 2012-11-08 |
| Genre | : Computers |
| ISBN | : 1107020913 |
Examines the cognitive impact on formal languages for human reasoning, drawing on philosophy, historical development, psychology and cognitive science.
| Author | : Ronald V. Book |
| Publisher | : Academic Press |
| Total Pages | : 469 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483267504 |
Formal Language Theory: Perspectives and Open Problems focuses on the trends and major open problems on the formal language theory. The selection first ponders on the methods for specifying families of formal languages, open problems about regular languages, and generators of cones and cylinders. Discussions focus on cylinders of algebraic languages, cone of algebraic languages, regularity of noncounting classes, group complexity, specification formalism, and grammars. The publication then elaborates on very small families of algebraic nonrational languages and formal languages and their relation to automata. The book tackles morphisms on free monoids and language theory, homomorphisms, and survey of results and open problems in the mathematical theory of L systems. Topics include single finite substitutions iterated, single homomorphisms iterated, representation of language families, homomorphism equivalence on a language, and problems about infinite words. The selection is a valuable source of data for researchers interested in the formal language theory.
| Author | : Eulalio Baltazar |
| Publisher | : Independently Published |
| Total Pages | : 388 |
| Release | : 2019-01-12 |
| Genre | : Philosophy |
| ISBN | : 9781793926661 |
This book introduces the basic inferential patterns of formal logic as they are embedded in everyday life, information technology, and science. It is designed to make clear the basic topics of classical and modern logic. The aim is to improve the reader's ability to navigate both everyday and science-based interactions.
