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Author: Larry Wos
Publisher: McGraw-Hill Companies
ISBN:
Category : Artificial intelligence
Languages : en
Pages : 680
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Book Description
This second edition explains what automated reasoning is and what it can do, and then demonstrates how to use it to solve complex problems with applications in logic circuit design, circuit validation, real-time system design, and expert systems.
Author: Larry Wos
Publisher: McGraw-Hill Companies
ISBN:
Category : Artificial intelligence
Languages : en
Pages : 680
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Book Description
This second edition explains what automated reasoning is and what it can do, and then demonstrates how to use it to solve complex problems with applications in logic circuit design, circuit validation, real-time system design, and expert systems.
Author: John Harrison
Publisher: Cambridge University Press
ISBN: 0521899575
Category : Computers
Languages : en
Pages : 703
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Book Description
A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
Author: Gregory Michaelson
Publisher: Springer Nature
ISBN: 3030778797
Category : Computers
Languages : en
Pages : 173
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Book Description
This collection of essays examines the key achievements and likely developments in the area of automated reasoning. In keeping with the group ethos, Automated Reasoning is interpreted liberally, spanning underpinning theory, tools for reasoning, argumentation, explanation, computational creativity, and pedagogy. Wider applications including secure and trustworthy software, and health care and emergency management. The book starts with a technically oriented history of the Edinburgh Automated Reasoning Group, written by Alan Bundy, which is followed by chapters from leading researchers associated with the group. Mathematical Reasoning: The History and Impact of the DReaM Group will attract considerable interest from researchers and practitioners of Automated Reasoning, including postgraduates. It should also be of interest to those researching the history of AI.
Author: Simon Colton
Publisher: Springer Science & Business Media
ISBN: 1447101472
Category : Mathematics
Languages : en
Pages : 384
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Book Description
In recent years, Artificial Intelligence researchers have largely focused their efforts on solving specific problems, with less emphasis on 'the big picture' - automating large scale tasks which require human-level intelligence to undertake. The subject of this book, automated theory formation in mathematics, is such a large scale task. Automated theory formation requires the invention of new concepts, the calculating of examples, the making of conjectures and the proving of theorems. This book, representing four years of PhD work by Dr. Simon Colton demonstrates how theory formation can be automated. Building on over 20 years of research into constructing an automated mathematician carried out in Professor Alan Bundy's mathematical reasoning group in Edinburgh, Dr. Colton has implemented the HR system as a solution to the problem of forming theories by computer. HR uses various pieces of mathematical software, including automated theorem provers, model generators and databases, to build a theory from the bare minimum of information - the axioms of a domain. The main application of this work has been mathematical discovery, and HR has had many successes. In particular, it has invented 20 new types of number of sufficient interest to be accepted into the Encyclopaedia of Integer Sequences, a repository of over 60,000 sequences contributed by many (human) mathematicians.
Author: Alessandro Armando
Publisher: Springer
ISBN: 3540710701
Category : Computers
Languages : en
Pages : 568
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Book Description
This book constitutes the refereed proceedings of the 4th International Joint Conference on Automated Reasoning, IJCAR 2008, held in Sydney, Australia, in August 2008. The 26 revised full research papers and 13 revised system descriptions presented together with 4 invited papers and a summary of the CASC-J4 systems competition were carefully reviewed and selected from 80 full paper and 17 system description submissions. The papers address the entire spectrum of research in automated reasoning and are organized in topical sections on specific theories, automated verification, protocol verification, system descriptions, modal logics, description logics, equational theories, theorem proving, CASC, the 4th IJCAR ATP system competition, logical frameworks, and tree automata.
Author: Mateja Jamnik
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863245
Category : Mathematics
Languages : en
Pages : 204
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Book Description
Mathematicians at every level use diagrams to prove theorems. Mathematical Reasoning with Diagrams investigates the possibilities of mechanizing this sort of diagrammatic reasoning in a formal computer proof system, even offering a semi-automatic formal proof system—called Diamond—which allows users to prove arithmetical theorems using diagrams.
Author:
Publisher: BRILL
ISBN: 9004408843
Category : Education
Languages : en
Pages : 475
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Book Description
New digital technologies offer many exciting opportunities to educators who are looking to develop better teaching practices. When technologies are new, however, the potential for beneficial and effective implementations and applications is not yet fully recognized. This book is intended to provide teachers and researchers with a wide range of ideas from researchers working to integrate the new technology of Augmented Reality into educational settings and processes. It is hoped that the research and theory presented here can support both teachers and researchers in future work with this exciting new technology. Contributors are: Miriam Adamková, Gilles Aldon, Panayiota Anastasi, Ferdinando Arzarello, Martina Babinská, Robert Bohdal, Francisco Botana, Constadina Charalambous, Eva Csandova, Omer Deperlioglu, Monika Dillingerová, Christos Dimopoulos, Jiri Dostal, Jihad El-Sana, Michael N. Fried, Maria Fuchsová, Marianthi Grizioti, Tomas Hlava, Markus Hohenwarter, Kateřina Jančaříková, Konstantinos Katzis, Lilla Korenova, Utku Köse, Zoltán Kovács,Blanka Kožík Lehotayová, Maria Kožuchová, Chronis Kynigos, Ilona-Elefteryja Lasica, Zsolt Lavicza, Álvaro Martínez, Efstathios Mavrotheris, Katerina Mavrou, Maria Meletiou-Mavrotheris, Georgios Papaioannou, Miroslava Pirháčová Lapšanská, Stavros Pitsikalis, Corinne Raffin, Tomás Recio, Cristina Sabena, Florian Schacht, Eva Severini, Martina Siposova, Zacharoula Smyrnaiou, Nayia Stylianidou, Osama Swidan, Christos Tiniakos, Melanie Tomaschko, Renata Tothova, Christina Vasou, and Ibolya Veress-Bágyi.
Author: Larry Wos
Publisher: Rinton PressInc
ISBN: 9781589490239
Category : Mathematics
Languages : en
Pages : 372
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Book Description
Most appealing - and sometimes even stirring - is a well-constructed case showing that, without doubt, some given assertion holds. Typically, such a case is based on logical and flawless reasoning, on a sequence of steps that follow inevitably from the hypotheses used to deduce each. In other words, a proof is given establishing that the assertion under consideration indeed holds. Such proofs are clearly crucial to logic and to mathematics. Not so obvious, but true, proofs are crucial to circuit design, program writing, and, more generally, to various activities in which reasoning plays a vital role. Indeed, most desirable is the case in which no doubt exists regarding the absence of flaws in the design of a chip, in the structure of a computer program, in the argument on which an important decision is based. Such careful reasoning is even the key factor in games that include chess and poker. This book features one example after another of flawless logical reasoning the context is that of finding proofs absent from the literature. The means for finding the missing proofs is reliance on a single computer program, William McCune's automated reasoning program OTTER. One motivating force for writing this book is to interest others in automated reasoning, logic and mathematics. As the text strongly indicates, we delight in using OTTER equally in two quite distinct activities: finding a proof where none is offered by the literature, and finding a proof far more appealing than any the literature provides. We believe that the challenge offered by the type of problem featured in this book can be as engrossing as solving puzzles and playing various games that appeal to the mind. Indeed,sometimes, inexpressible is the excitement engendered when seeking a proof with fewer steps than was found by one of the great minds of the twentieth century. A second motivating force resets with our obvious enjoyment of the type of research featured in this book. Like the fancier of fine wines, we continually seek new open questions to attack, whether (at one end of the spectrum) they concern the settling of a conjecture or (at the other end) the focus is on proof betterment. We encourage readers to send us additional open questions and challenging problems. Another factor that motivated us was our wish to collect in a single volume a surprisingly large number of proofs, most of which were previously absent from the literature. In some cases, no proof was offered of any type; in some cases, the proof that was offered was far from axiomatic. None of the proofs rely on induction, or on metal argument, or on higher-order logic. In one sense, the book can serve as an encyclopedia of proofs -- many new and many improved - a work that sometimes extends, sometimes replaces, and sometimes supplements the research of more than a century. These proofs offer the implicit challenge of finding others that are further improvements. In a rather different sense, the book may serve as the key to eventually answering one open question after another, whether the context is logic, mathematics, design, synthesis, or some other area relying on sound reasoning. In that regards, we include in details numerous diverse methodologies are themselves intriguing. For an example, one methodology asks for two independent paths that lead to success and, rather than emphasizing what is common to both (theirintersection), instead heavily focuses on what is not shared (their symmetric difference). Although the emphasis here is on their use in the context of logic and mathematics, we conjecture that the methodologies we offer will prove most useful in a far wider context. We also suspect that, especially for those who enjoy solving puzzles and unraveling the mysteries of sciences, the nature of the methodologies will provide substantial stimulation. This volume introduce some readers to the excitement of discovering new results, increase the intrigue of those already familiar with such excitement, and (for the expert) add to the arsenal of weapons for attacking deep questions and hard problems.
Author: Alan Bundy
Publisher: Cambridge University Press
ISBN: 9780521834490
Category : Computers
Languages : en
Pages : 224
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Book Description
Rippling is a radically new technique for the automation of mathematical reasoning. It is widely applicable whenever a goal is to be proved from one or more syntactically similar givens. It was originally developed for inductive proofs, where the goal was the induction conclusion and the givens were the induction hypotheses. It has proved to be applicable to a much wider class of tasks, from summing series via analysis to general equational reasoning. The application to induction has especially important practical implications in the building of dependable IT systems, and provides solutions to issues such as the problem of combinatorial explosion. Rippling is the first of many new search control techniques based on formula annotation; some additional annotated reasoning techniques are also described here. This systematic and comprehensive introduction to rippling, and to the wider subject of automated inductive theorem proving, will be welcomed by researchers and graduate students alike.
Author: Grace Kelemanik
Publisher: Heinemann Educational Books
ISBN: 9780325078151
Category : Education
Languages : en
Pages : 0
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Book Description
Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.
