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.
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.
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.
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: David Basin; M. D`Agostino; Dov M. Gabbay; Se?n Ma Название: Labelled Deduction ISBN: 0792362373 ISBN-13(EAN): 9780792362371 Издательство: Springer Рейтинг: Цена: 21655.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Labelled deduction is an approach to providing frameworks for presenting and using different logics in a uniform and natural way by enriching the language of a logic with additional information of a semantic proof-theoretical nature.
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: David Basin; M. D`Agostino; Dov M. Gabbay; Se?n Ma Название: Labelled Deduction ISBN: 9401057818 ISBN-13(EAN): 9789401057813 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Labelled deduction is an approach to providing frameworks for presenting and using different logics in a uniform and natural way by enriching the language of a logic with additional information of a semantic proof-theoretical nature.
Автор: Chung-ying Cheng Название: Peirce`s and Lewis`s Theories of Induction ISBN: 9401185980 ISBN-13(EAN): 9789401185981 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Williams and that in Lewis by Professor Roderick Firth. Specifically, I wish to acknowledge Professor Williams for his patient and careful criticisms of the original manuscripts of this book. I also wish to thank Professor Firth and Professor Israel Scheffler for their many suggestive comments regarding my discussions of induc- tion.
Автор: Hantao Zhang Название: Automated Mathematical Induction ISBN: 9401072507 ISBN-13(EAN): 9789401072502 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It has been shown how the common structure that defines a family of proofs can be expressed as a proof plan [5]. A proof plan has two complementary components: a proof method and a proof tactic. By prescribing the structure of a proof at the level of primitive inferences, a tactic [11] provides the guarantee part of the proof.
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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