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# 📙 Proof and Disproof in Formal Logic: An Introduction for Programmers by Richard Bornat — free download

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Proof and Disproof in Formal Logic is a lively and entertaining introduction to formal logic providing an excellent insight into how a simple logic works. Formal logic allows you to check a logical claim without considering what the claim means. This highly abstracted idea is an essential and practical part of computer science. The idea of a formal system-a collection of rules and axioms, which define a universe of logical proofs-is what gives us programming languages and modern-day programming. This book concentrates on using logic as a tool: making and using formal proofs and disproofs of particular logical claims. The logic it uses-natural deduction-is very small and very simple; working with it helps you see how large mathematical universes can be built on small foundations. The book is divided into four parts:Part I "Basics" gives an introduction to formal logic with a short history of logic and explanations of some technical words.Part II "Formal Syntactic Proof" show you how to do calculations in a formal system where you are guided by shapes and never need to think about meaning. Your experiments are aided by Jape, which can operate as both inquisitor and oracle.Part III "Formal Semantic Disproof" shows you how to construct mathematical counterexamples to shoe that proof is impossible. Jape can check the counterexamples you build.Part IV " Program Specification and Proof" describes how to apply your logical understanding to a real computer science problem, the accurate description and verification of programs. Jape helps, as far as arithmetic allows.Aimed at undergraduates and graduates in computer science, logic, mathematics andphilosophy, the text includes reference to and exercises based on the computer software package Jape, an interactive teaching and research tool designed and hosted by the author that is freely available on the web.

## About book:

## About file:

Security code:

- Series:
**Oxford Texts in Logic** - Author:
**Richard Bornat** - Year:
**2005** - Publisher:
**Oxford University Press, USA** - Language:
**English** - ISBN:
**9780198530268,0-19-8530269**

- File size:
**5 390 569** - Format:
**pdf**

Security code:

Proofs and Algorithms: An Introduction to Logic and ComputabilityLogic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.Proofs and Algo...

As computer software becomes more complex, the question of how its correctness can be assured grows ever more critical. Formal logic embodied in computer programs is an important part of the answer to this problem.This must-read text presents the pioneeri...

This book covers the basics of numerical methods, while avoiding the definition-theorem-proof style and instead focusing on numerical examples and simple pseudo-codes.The book is divided into ten chapters. Starting with floating number calculations and co...

Itanium(R) Architecture for Programmers is a comprehensive introduction to the breakthrough capabilities of the new 64-bit Itanium architecture. Using standard command-line tools and extensive examples, the authors illuminate the Itanium design within the...

Most programmers' fear of user interface (UI) programming comes from their fear of doing UI design. They think that UI design is like graphic designthe mysterious process by which creative, latte-drinking, all-black-wearing people produce cool-looking, ar...

Книга Math and Logic Puzzles for PC Enthusiasts Math and Logic Puzzles for PC EnthusiastsКниги English литература Автор: J. J. Clessa Год издания: 1996 Формат: djvu Издат.:Dover Publications Страниц: 144 Размер: 1,1 ISBN: 0486291928 Язык: Английский0 (гол...

I use this book to assist my graduate study. I think this is an excellent introduction for beginners, especially who expect to learn essentials of feedback control. I would like to begin by introducing the two authors. Both of them are very famous scient...

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Multicast Sockets: Practical Guide for Programmers is a hands-on, application-centric approach to multicasting (as opposed to a network-centric one) that is filled with examples, ideas, and experimentation. Each example builds on the last to introduce mul...

Royal School of Medicine and Dentistry, London, UK. State-of-the-art advances in identity testing through DNA analysis. Covers PCR-based test systems, direct-phase minisequencing, and more. DNLM: DNA Fingerprinting--methods--laboratory manuals....

After the deciphering of the human genome and the genomes of many other organisms, the investigation of the function of gene products and their orchestral interplay is now one of the most important challenges in the life sciences. In Nucleic Acid and Pept...

Since the publication of the first edition, the number of unique heritable mtDNA mutations recognized as being associated with bioenergetic dysfunction, cell death and disease has grown. Likewise, our understanding of the basic biology of somatic mtDNA mu...

Since their discovery, Wnt signaling molecules have been shown to control key events in embryogenesis, to maintain tissue homeostasis in the adult and, when aberrantly activated, to promote human degenerative diseases and cancer, thus making them a vital ...

In In Situ Hybridization, Third Edition, Ian Darby updates his highly successful second edition and shifts the focus to tissue and cell in situ hybridization. Drawing on experts working in diverse areas and taking advantage of advances in non-isotopic in ...

Microbial Gene Essentiality: Protocols and Bioinformatics contains a comprehensive collection of experimental and computational strategies and techniques for microbial genome-scale essentiality studies, developed and presented by the leading groups in the...

Molecular biology has driven a powerful reductionist, or “molecule-c- tric,” approach to biological research in the last half of the 20th century. Red- tionism is the attempt to explain complex phenomena by defining the functional properties of the indivi...

Glycobiology involves studies of complex carbohydrates and posttrans- tional modifications of proteins, and has become an important interdiscip- nary field encompassing chemistry, biochemistry, biology, physiology, and pathology. Although initial research...

In this updated and expanded second edition of an established classic, the editors have added critical reviews to a fresh collection of cutting-edge protocols for gene expression in bacteria, fungi, plants, plant cells, animals, and animal cells. The revi...

Technical innovations in the laboratory over the past ten years have greatly improved our understanding of the immunological mechanisms of transplanted organ rejection. In Transplantation Immunology: Methods and Protocols, leading experts in solid organ t...