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: Luiz Carlos Pereira; Edward Hermann Haeusler; Vale Название: Advances in Natural Deduction ISBN: 9400775474 ISBN-13(EAN): 9789400775473 Издательство: Springer Рейтинг: Цена: 18866.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of original papers by celebrated figures in the field of natural deduction honors the ground-breaking work of Swedish logician Dag Prawits. It provides a wide-ranging survey of the latest research in proof theory and its many applications.
Автор: Andrzej Indrzejczak Название: Natural Deduction, Hybrid Systems and Modal Logics ISBN: 9048187842 ISBN-13(EAN): 9789048187843 Издательство: Springer Рейтинг: Цена: 36197.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction.
Автор: Ewing Lusk; Ross Overbeek Название: Automated Deduction - CADE 10 (9) ISBN: 354019343X ISBN-13(EAN): 9783540193432 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Wolfgang Bibel; R. Kowalski Название: Automated Deduction CADE 5 ISBN: 3540100091 ISBN-13(EAN): 9783540100096 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Francisco Botana; Pedro Quaresma Название: Automated Deduction in Geometry ISBN: 331921361X ISBN-13(EAN): 9783319213613 Издательство: Springer Рейтинг: Цена: 5590.00 р. 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.
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.
Описание: Presents the concepts and methods in automated deduction. This work 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. It deals with applications of deductive techniques.
Описание: BASIC CONCEPTS OF INTERACTIVE THEOREM PROVING Interactive Theorem Proving ultimately aims at the construction of powerful reasoning tools that let us (computer scientists) prove things we cannot prove without the tools, and the tools cannot prove without us.
Описание: rather the books present the concepts and methods now available in automated deduction in a form which can be easily accessed by scientists working in applications outside of the field of deduction.
Автор: Luiz Carlos Pereira; Edward Hermann Haeusler; Vale Название: Advances in Natural Deduction ISBN: 9402406875 ISBN-13(EAN): 9789402406870 Издательство: Springer Рейтинг: Цена: 18866.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of original papers by celebrated figures in the field of natural deduction honors the ground-breaking work of Swedish logician Dag Prawits. It provides a wide-ranging survey of the latest research in proof theory and its many applications.
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