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Author: Sean B. Holden
Publisher:
Published: 2021-11-22
Total Pages: 202
ISBN-13: 9781680838985
DOWNLOAD EBOOKIn this book, the author presents the results of his thorough and systematic review of the research at the intersection of two apparently rather unrelated fields: Automated Theorem Proving (ATP) and Machine Learning (ML).
Author: Shai Shalev-Shwartz
Publisher: Cambridge University Press
Published: 2014-05-19
Total Pages: 415
ISBN-13: 1107057132
DOWNLOAD EBOOKIntroduces machine learning and its algorithmic paradigms, explaining the principles behind automated learning approaches and the considerations underlying their usage.
Author: Alessandro Armando
Publisher: Springer Science & Business Media
Published: 2008-07-25
Total Pages: 568
ISBN-13: 3540710698
DOWNLOAD EBOOKmethods, description logics and related logics, sati?ability modulo theory, decidable logics, reasoning about programs, and higher-order logics.
Author: Martin Davis
Publisher:
Published: 1961
Total Pages: 40
ISBN-13:
DOWNLOAD EBOOKThe programming of a proof procedure is discussed in connection with trial runs and possible improvements. (Author).
Author: Yves Bertot
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 492
ISBN-13: 366207964X
DOWNLOAD EBOOKA practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.
Author: David Barber
Publisher: Cambridge University Press
Published: 2012-02-02
Total Pages: 739
ISBN-13: 0521518148
DOWNLOAD EBOOKA practical introduction perfect for final-year undergraduate and graduate students without a solid background in linear algebra and calculus.
Author: Tobias Nipkow
Publisher: Springer
Published: 2014-12-03
Total Pages: 304
ISBN-13: 3319105426
DOWNLOAD EBOOKPart I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.
Author: John Harrison
Publisher: Cambridge University Press
Published: 2009-03-12
Total Pages: 703
ISBN-13: 0521899575
DOWNLOAD EBOOKA one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
Author: Simon Colton
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 384
ISBN-13: 1447101472
DOWNLOAD EBOOKIn 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: Jean H. Gallier
Publisher: Courier Dover Publications
Published: 2015-06-18
Total Pages: 532
ISBN-13: 0486780821
DOWNLOAD EBOOKThis advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
