The Automation of Proof

The Automation of Proof PDF Author: Donald A. MacKenzie
Publisher:
ISBN:
Category : Automatic theorem proving
Languages : en
Pages : 60

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Book Description

The Automation of Proof

The Automation of Proof PDF Author: Donald A. MacKenzie
Publisher:
ISBN:
Category : Automatic theorem proving
Languages : en
Pages : 60

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Book Description


First-Order Logic and Automated Theorem Proving

First-Order Logic and Automated Theorem Proving PDF Author: Melvin Fitting
Publisher: Springer Science & Business Media
ISBN: 1468403575
Category : Mathematics
Languages : en
Pages : 258

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Book Description
There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scientists. Although there is a common core to all such books they will be very dif ferent in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theorem proving in classical logic. To be more precise yet, it is essentially a theoretical treatment, not a how-to book, although how-to issues are not neglected. This does not mean, of course, that the book will be of no interest to philosophers or mathematicians. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but not incompleteness issues. The first item to be addressed is, what are we talking about and why are we interested in it. We are primarily talking about truth as used in mathematical discourse, and our interest in it is, or should be, self-evident. Truth is a semantic concept, so we begin with models and their properties. These are used to define our subject.

Robot-Proof, revised and updated edition

Robot-Proof, revised and updated edition PDF Author: Joseph E. Aoun
Publisher: MIT Press
ISBN: 0262549859
Category : Education
Languages : en
Pages : 221

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Book Description
A fresh look at a “robot-proof” education in the new age of generative AI. In 2017, Robot-Proof, the first edition, foresaw the advent of the AI economy and called for a new model of higher education designed to help human beings flourish alongside smart machines. That economy has arrived. Creative tasks that, seven years ago, seemed resistant to automation can now be performed with a simple prompt. As a result, we must now learn not only to be conversant with these technologies, but also to comprehend and deploy their outputs. In this revised and updated edition, Joseph Aoun rethinks the university’s mission for a world transformed by AI, advocating for the lifelong endeavor of a “robot-proof” education. Aoun puts forth a framework for a new curriculum, humanics, which integrates technological, data, and human literacies in an experiential setting, and he renews the call for universities to embrace lifelong learning through a social compact with government, employers, and learners themselves. Drawing on the latest developments and debates around generative AI, Robot-Proof is a blueprint for the university as a force for human reinvention in an era of technological change—an era in which we must constantly renegotiate the shifting boundaries between artificial intelligence and the capacities that remain uniquely human.

Automated Theorem Proving: A Logical Basis

Automated Theorem Proving: A Logical Basis PDF Author: D.W. Loveland
Publisher: Elsevier
ISBN: 1483296776
Category : Computers
Languages : en
Pages : 419

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Book Description
Automated Theorem Proving: A Logical Basis

Futureproof

Futureproof PDF Author: Kevin Roose
Publisher: Hachette UK
ISBN: 152930475X
Category : Technology & Engineering
Languages : en
Pages : 256

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Book Description
A New York Times bestselling author and tech columnist's counter-intuitive guide to staying relevant - and employable - in the machine age by becoming irreplaceably human. It's not a future scenario any more. We've been taught that to compete with automation and AI, we'll have to become more like the machines themselves, building up technical skills like coding. But, there's simply no way to keep up. What if all the advice is wrong? And what do we need to do instead to become futureproof? We tend to think of automation as a blue-collar phenomenon that will affect truck drivers, factory workers, and other people with repetitive manual jobs. But it's much, much broader than that. Lawyers are being automated out of existence. Last year, JPMorgan Chase built a piece of software called COIN, which uses machine learning to review complicated contracts and documents. It used to take the firm's lawyers more than 300,000 hours every year to review all of those documents. Now, it takes a few seconds, and requires just one human to run the program. Doctors are being automated out of existence, too. Last summer, a Chinese tech company built a deep learning algorithm that diagnosed brain cancer and other diseases faster and more accurately than a team of 15 top Chinese doctors. Kevin Roose has spent the past few years studying the question of how people, communities, and organisations adapt to periods of change, from the Industrial Revolution to the present. And the insight that is sweeping through Silicon Valley as we speak -- that in an age dominated by machines, it's human skills that really matter - is one of the more profound and counter-intuitive ideas he's discovered. It's the antidote to the doom-and-gloom worries many people feel when they think about AI and automation. And it's something everyone needs to hear. In nine accessible, prescriptive chapters, Roose distills what he has learned about how we will survive the future, that the way to become futureproof is to become incredibly, irreplaceably human.

Automated Theorem Proving

Automated Theorem Proving PDF Author: Monty Newborn
Publisher: Springer Science & Business Media
ISBN: 9780387950754
Category : Mathematics
Languages : en
Pages : 250

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Book Description
This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.

Automated Theorem Proving

Automated Theorem Proving PDF Author: Monty Newborn
Publisher: Springer Science & Business Media
ISBN: 1461300894
Category : Mathematics
Languages : en
Pages : 244

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Book Description
This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.

Automated Theorem Proving: After 25 Years

Automated Theorem Proving: After 25 Years PDF Author: W. W. Bledsoe
Publisher: American Mathematical Soc.
ISBN: 082185027X
Category : Mathematics
Languages : en
Pages : 372

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Book Description


Certified Programming with Dependent Types

Certified Programming with Dependent Types PDF Author: Adam Chlipala
Publisher: MIT Press
ISBN: 0262317885
Category : Computers
Languages : en
Pages : 437

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Book Description
A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.

Automated Theorem Proving

Automated Theorem Proving PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description