The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution.
Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schr der, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt G del conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later.
Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Автор: Mauricio Ayala Rincon Название: Applied logic for computer scientists. Computational Deduction and formal Proofs ISBN: 3319516515 ISBN-13(EAN): 9783319516516 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A strong mathematical foundation of the logical engines available in modern proof assistants, such as the PVS verification system, is essential for computer scientists, mathematicians and engineers to increment their capabilities to provide formal proofs of theorems and to certify the robustness of software and hardware systems.
Автор: Wolfgang Bibel; P.H. Schmitt Название: Automated Deduction - A Basis for Applications Volume I Foundations - Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications ISBN: 0792351290 ISBN-13(EAN): 9780792351290 Издательство: Springer Рейтинг: Цена: 266470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Covers development in the field of automated deduction. This book focuses on the investigation of problems derived from realistic applications. It focuses on basic research in deduction and on the knowledge on which modern deductive systems are based. It presents techniques of implementation and details about system building.
Автор: Dongming Wang Название: Automated Deduction in Geometry ISBN: 3540642978 ISBN-13(EAN): 9783540642978 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Constitutes the refereed and revised post-workshop proceedings of the International Workshop on Automated Deduction in Geometry, held in France, in 1996. This book covers automated geometric reasoning and the deduction applied to Dixon resultants, Grobner bases, characteristic sets, computational geometry, algebraic geometry, and planet motion.
Автор: Francisco Botana; Pedro Quaresma Название: Automated Deduction in Geometry ISBN: 331921361X ISBN-13(EAN): 9783319213613 Издательство: Springer Рейтинг: Цена: 37270.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book constitutes the thoroughly refereed post-workshop proceedings of the 10th International Workshop on Automated Deduction in Geometry, ADG 2014, held in Coimbra, Portugal, in July 2014. The papers show the trend set of current research in automated reasoning in geometry.
Автор: Ricardo Caferra; Gernot Salzer Название: Automated Deduction in Classical and Non-Classical Logics ISBN: 3540671900 ISBN-13(EAN): 9783540671909 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This title presents papers reflecting the status of research in automated deduction in classical and non-classical logics. Most of the results presented rely on resolution or tableaux methods with a few exceptions choosing the equational paradigm.
Автор: Mark E. Stickel Название: 10th International Conference on Automated Deduction ISBN: 3540528857 ISBN-13(EAN): 9783540528852 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: CADE is the major forum for research on all aspects of automated deduction. This title constitutes the proceedings of CADE-10.
Автор: Maria Paola Bonacina Название: Automated Deduction -- CADE-24 ISBN: 3642385737 ISBN-13(EAN): 9783642385735 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book constitutes the proceedings of the 24th International Conference on Automated Deduction, CADE-24, held in Lake Placid, NY, USA, in June 2013.
Автор: Claude Kirchner; Helene Kirchner Название: Automated Deduction - CADE-15 ISBN: 3540646752 ISBN-13(EAN): 9783540646754 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A collection of papers addressing issues in automated deduction and theorem-proving based on resolution, superposition, model generation and elimination, or connection tableau calculus, in first-order, higher-order, intuitionistic, or modal logics. Applications are also discussed.
Автор: Deepak Kapur Название: Automated Deduction - CADE-11 ISBN: 3540556028 ISBN-13(EAN): 9783540556022 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains the papers presented at the 11th International Conference on Automated Deduction (CADE-11) held in Saratoga Springs, New York, in June 1992. Topics covered include: resolution; term writing; natural deduction; parallel theorem provers; and unification theory.
Автор: Renate Schmidt Название: Automated Deduction – CADE-22 ISBN: 3642029582 ISBN-13(EAN): 9783642029585 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 22nd International Conference on Automated Deduction Montreal Canada August 27 2009 Proceedings. .
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