Automath, a Language for Mathematics

Automath, a Language for Mathematics PDF Author: Nicolaas Govert de Bruijn
Publisher:
ISBN: 9782760602236
Category :
Languages : en
Pages : 0

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Automath, a Language for Mathematics

Automath, a Language for Mathematics PDF Author: Nicolaas Govert de Bruijn
Publisher:
ISBN: 9782760602236
Category :
Languages : en
Pages : 0

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Book Description


Auto Math Handbook

Auto Math Handbook PDF Author: John Lawlor
Publisher: Penguin
ISBN: 9781557880208
Category : Transportation
Languages : en
Pages : 164

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Book Description
Offers formulas and equations for calculating brake horsepower and torque, displacement, stroke, bore, compression ratio, and more

Theorem Proving in Higher Order Logics

Theorem Proving in Higher Order Logics PDF Author: Stefan Berghofer
Publisher: Springer
ISBN: 3642033598
Category : Computers
Languages : en
Pages : 517

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Book Description
This book constitutes the refereed proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics, TPHOLs 200, held in Munich, Germany, in August 2009. The 26 revised full papers presented together with 1 proof pearl, 4 tool presentations, and 3 invited papers were carefully reviewed and selected from 55 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.

Thirty Five Years of Automating Mathematics

Thirty Five Years of Automating Mathematics PDF Author: F.D. Kamareddine
Publisher: Springer Science & Business Media
ISBN: 9401702535
Category : Mathematics
Languages : en
Pages : 323

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Book Description
THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN'S AUTOMATH N. G. de Bruijn was a well established mathematician before deciding in 1967 at the age of 49 to work on a new direction related to Automating Mathematics. By then, his contributions in mathematics were numerous and extremely influential. His book on advanced asymptotic methods, North Holland 1958, was a classic and was subsequently turned into a book in the well known Dover book series. His work on combinatorics yielded influential notions and theorems of which we mention the de Bruijn-sequences of 1946 and the de Bruijn-Erdos theorem of 1948. De Bruijn's contributions to mathematics also included his work on generalized function theory, analytic number theory, optimal control, quasicrystals, the mathematical analysis of games and much more. In the 1960s de Bruijn became fascinated by the new computer technology and as a result, decided to start the new AUTOMATH project where he could check, with the help of the computer, the correctness of books of mathematics. In each area that de Bruijn approached, he shed a new light and was known for his originality and for making deep intellectual contributions. And when it came to automating mathematics, he again did it his way and introduced the highly influential AUTOMATH. In the past decade he has also been working on theories of the human brain.

Selected Papers on Automath

Selected Papers on Automath PDF Author: R.P. Nederpelt
Publisher: Elsevier
ISBN: 008088718X
Category : Mathematics
Languages : en
Pages : 1045

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Book Description
The present volume contains a considered choice of the existing literature on Automath. Many of the papers included in the book have been published in journals or conference proceedings, but a number have only circulated as research reports or have remained unpublished. The aim of the editors is to present a representative selection of existing articles and reports and of material contained in dissertations, giving a compact and more or less complete overview of the work that has been done in the Automath research field, from the beginning to the present day. Six different areas have been distinguished, which correspond to Parts A to F of the book. These areas range from general ideas and motivation, to detailed syntactical investigations.

The Language of Mathematics

The Language of Mathematics PDF Author: Mohan Ganesalingam
Publisher: Springer
ISBN: 3642370128
Category : Computers
Languages : en
Pages : 273

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Book Description
The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers

Type Theory and Formal Proof

Type Theory and Formal Proof PDF Author: Rob Nederpelt
Publisher: Cambridge University Press
ISBN: 1316061086
Category : Computers
Languages : en
Pages : 465

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Book Description
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.

Automotive Math Handbook

Automotive Math Handbook PDF Author: Forbes Aird
Publisher: Motorbooks
ISBN: 9780760306963
Category : Mathematics
Languages : en
Pages : 144

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Book Description
Offers formulas and equations for calculating brake horsepower and torque, displacement, stroke, bore, and compression ratio.

A Handbook of Mathematical Discourse

A Handbook of Mathematical Discourse PDF Author: Charles Wells
Publisher: Infinity Publishing
ISBN: 0741416859
Category : Education
Languages : en
Pages : 1

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Book Description


A Modern Perspective on Type Theory

A Modern Perspective on Type Theory PDF Author: F.D. Kamareddine
Publisher: Springer Science & Business Media
ISBN: 1402023359
Category : Mathematics
Languages : en
Pages : 367

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Book Description
This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms. The third part proposes new systems that bring more advantages together.