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Book Machine assisted Theorem proving for Software Engineering

Download or read book Machine assisted Theorem proving for Software Engineering written by Andrew Martin and published by . This book was released on 1996 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The thesis describes the production of a large prototype proof system for Z, and a tactic language in which the proof tactics used in a wide range of systems (including the system described here) can be discussed. The details of the construction of the tool -- using the W logic for Z, and implemented in 20BJ -- are presented, along with an account of some of the proof tactics which enable W to be applied to typical proofs in Z.A case study gives examples of such proofs. Special attention is paid to soundness concerns, since it is considerably easier to check that a program such as this one produces sound proofs, than to check that each of the impenetrable proofs which it creates is indeed sound. As the first such encoding of W, this helped to find bugs in the published presentations of W, and to demonstrate that W makes proof in Z tractable. The second part of the thesis presents a tactic language, with a formal semantics (independent of any particular tool) and a set of rules for reasoning about tactics written in this language. A small set of these rules is shown to be complete for the finite (non-recursive) part of the language. Some case studies are included, as are some ideas on how this tactic language can give rise to lightweight implementations of theorem proving tools. The tool described in some detail is another theorem-prover for Z, this time based on LittleZ."

Book Machine assisted Theorem proving for Software Engineering

Download or read book Machine assisted Theorem proving for Software Engineering written by Andrew P. Martin and published by . This book was released on 1994 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Computer Aided Reasoning

    Book Details:
  • Author : Matt Kaufmann
  • Publisher : Springer Science & Business Media
  • Release : 2013-04-17
  • ISBN : 1475731884
  • Pages : 337 pages

Download or read book Computer Aided Reasoning written by Matt Kaufmann and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer-Aided Reasoning: ACL2 Case Studies illustrates how the computer-aided reasoning system ACL2 can be used in productive and innovative ways to design, build, and maintain hardware and software systems. Included here are technical papers written by twenty-one contributors that report on self-contained case studies, some of which are sanitized industrial projects. The papers deal with a wide variety of ideas, including floating-point arithmetic, microprocessor simulation, model checking, symbolic trajectory evaluation, compilation, proof checking, real analysis, and several others. Computer-Aided Reasoning: ACL2 Case Studies is meant for two audiences: those looking for innovative ways to design, build, and maintain hardware and software systems faster and more reliably, and those wishing to learn how to do this. The former audience includes project managers and students in survey-oriented courses. The latter audience includes students and professionals pursuing rigorous approaches to hardware and software engineering or formal methods. Computer-Aided Reasoning: ACL2 Case Studies can be used in graduate and upper-division undergraduate courses on Software Engineering, Formal Methods, Hardware Design, Theory of Computation, Artificial Intelligence, and Automated Reasoning. The book is divided into two parts. Part I begins with a discussion of the effort involved in using ACL2. It also contains a brief introduction to the ACL2 logic and its mechanization, which is intended to give the reader sufficient background to read the case studies. A more thorough, textbook introduction to ACL2 may be found in the companion book, Computer-Aided Reasoning: An Approach. The heart of the book is Part II, where the case studies are presented. The case studies contain exercises whose solutions are on the Web. In addition, the complete ACL2 scripts necessary to formalize the models and prove all the properties discussed are on the Web. For example, when we say that one of the case studies formalizes a floating-point multiplier and proves it correct, we mean that not only can you read an English description of the model and how it was proved correct, but you can obtain the entire formal content of the project and replay the proofs, if you wish, with your copy of ACL2. ACL2 may be obtained from its home page. The results reported in each case study, as ACL2 input scripts, as well as exercise solutions for both books, are available from this page.

Book Interactive Theorem Proving and Program Development

Download or read book Interactive Theorem Proving and Program Development written by Yves Bertot and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 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.

Book Interactive Theorem Proving in Software Engineering

Download or read book Interactive Theorem Proving in Software Engineering written by Florian Kammüller and published by VDM Publishing. This book was released on 2008 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactive theorem proving is the modern way of formalizing mathematics using a computer as a proof assistant, helping solve simple tasks and keeping an order on the proofs. As it is an overwhelming task to prove a program correct or prove that an implementation conforms to its UML-specification, this book draws a line to show up how far current cutting edge research has succeeded in tackling this problem. Using examples from algorithm development, Java bytecode verification and UML state machine analysis the author introduces current trends in interactive theorem proving technology using Coq, Isabelle, and model checking. -- from back cover.

Book A Machine Program for Theorem proving

Download or read book A Machine Program for Theorem proving written by Martin Davis and published by . This book was released on 1961 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The programming of a proof procedure is discussed in connection with trial runs and possible improvements. (Author).

Book First Order Logic and Automated Theorem Proving

Download or read book First Order Logic and Automated Theorem Proving written by Melvin Fitting and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Advances in Machine Learning Applications in Software Engineering

Download or read book Advances in Machine Learning Applications in Software Engineering written by Zhang, Du and published by IGI Global. This book was released on 2006-10-31 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides analysis, characterization and refinement of software engineering data in terms of machine learning methods. It depicts applications of several machine learning approaches in software systems development and deployment, and the use of machine learning methods to establish predictive models for software quality while offering readers suggestions by proposing future work in this emerging research field"--Provided by publisher.

Book Computer Aided Reasoning

    Book Details:
  • Author : Matt Kaufmann
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 1461544491
  • Pages : 273 pages

Download or read book Computer Aided Reasoning written by Matt Kaufmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer-Aided Reasoning: An Approach is a textbook introduction to computer-aided reasoning. It can be used in graduate and upper-division undergraduate courses on software engineering or formal methods. It is also suitable in conjunction with other books in courses on hardware design, discrete mathematics, or theory, especially courses stressing formalism, rigor, or mechanized support. It is also appropriate for courses on artificial intelligence or automated reasoning and as a reference for business and industry. Current hardware and software systems are often very complex and the trend is towards increased complexity. Many of these systems are of critical importance; therefore making sure that they behave as expected is also of critical importance. By modeling computing systems mathematically, we obtain models that we can prove behave correctly. The complexity of computing systems makes such proofs very long, complicated, and error-prone. To further increase confidence in our reasoning, we can use a computer program to check our proofs and even to automate some of their construction. In this book we present: A practical functional programming language closely related to Common Lisp which is used to define functions (which can model computing systems) and to make assertions about defined functions; A formal logic in which defined functions correspond to axioms; the logic is first-order, includes induction, and allows us to prove theorems about the functions; The computer-aided reasoning system ACL2, which includes the programming language, the logic, and mechanical support for the proof process. The ACL2 system has been successfully applied to projects of commercial interest, including microprocessor, modeling, hardware verification, microcode verification, and software verification. This book gives a methodology for modeling computing systems formally and for reasoning about those models with mechanized assistance. The practicality of computer-aided reasoning is further demonstrated in the companion book, Computer-Aided Reasoning: ACL2 Case Studies. Approximately 140 exercises are distributed throughout the book. Additional material is freely available from the ACL2 home page on the Web, including solutions to the exercises, additional exercises, case studies from the companion book, research papers, and the ACL2 system with detailed documentation.

Book Theorem Proving in Higher Order Logics

Download or read book Theorem Proving in Higher Order Logics written by Joe Hurd and published by Springer Science & Business Media. This book was released on 2005-08-08 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2005, held in Oxford, UK, in August 2005. The 20 revised full papers presented together with 2 invited papers and 4 proof pearls (concise and elegant presentations of interesting examples) were carefully reviewed and selected from 49 submissions. All current issues in HOL theorem proving and formal verification of software and hardware systems are addressed. Among the topics of this volume are theorem proving, verification, recursion and induction, mechanized proofs, mathematical logic, proof theory, type systems, program verification, and proving systems like HOL, Coq, ACL2, Isabelle/HOL and Isabelle/HOLCF.

Book Automated Theorem Proving in Software Engineering

Download or read book Automated Theorem Proving in Software Engineering written by Johann M. Schumann and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing demands for the quality, safety, and security of software can only be satisfied by the rigorous application of formal methods during software design. This book methodically investigates the potential of first-order logic automated theorem provers for applications in software engineering. Illustrated by complete case studies on protocol verification, verification of security protocols, and logic-based software reuse, this book provides techniques for assessing the prover's capabilities and for selecting and developing an appropriate interface architecture.

Book Mathematical Foundations of Software Engineering

Download or read book Mathematical Foundations of Software Engineering written by Gerard O'Regan and published by Springer Nature. This book was released on 2023-05-04 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents an introduction to the mathematical foundations of software engineering. It presents the rich applications of mathematics in areas such as error-correcting codes, cryptography, the safety and security critical fields, the banking and insurance fields, as well as traditional engineering applications. Topics and features: Addresses core mathematics for critical thinking and problem solving Discusses propositional and predicate logic and various proof techniques to demonstrate the correctness of a logical argument. Examines number theory and its applications to cryptography Considers the underlying mathematics of error-correcting codes Discusses graph theory and its applications to modelling networks Reviews tools to support software engineering mathematics, including automated and interactive theorem provers and model checking Discusses financial software engineering, including simple and compound interest, probability and statistics, and operations research Discusses software reliability and dependability and explains formal methods used to derive a program from its specification Discusses calculus, matrices, vectors, complex numbers, and quaternions, as well as applications to graphics and robotics Includes key learning topics, summaries, and review questions in each chapter, together with a useful glossary This practical and easy-to-follow textbook/reference is ideal for computer science students seeking to learn how mathematics can assist them in building high-quality and reliable software on time and on budget. The text also serves as an excellent self-study primer for software engineers, quality professionals, and software managers.

Book Requirements Targeting Software and Systems Engineering

Download or read book Requirements Targeting Software and Systems Engineering written by Manfred Broy and published by Springer Science & Business Media. This book was released on 1998-11-04 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Software engineering research has di?erent pro?les in Europe and North Am- ica.WhileinNorthAmericathere isalotofknowhowinthepractical,technical, and organizational aspects of software engineering, in Europe the work conc- trates more on foundations and formal modeling of software engineering issues. Bothapproacheshavetheirindividualstrengthsandweaknesses. Researchdriven solelyby practice insoftware engineering runs in the danger ofdevelopinginto a shallow ?eld failing to ?nd a solid scienti?c basis or to contribute substantially to the progress in software engineering. Work concentrating on formal aspects alone is in the danger of becoming too theoretical and isolated from practice so that any transfer into practical application will fail. Substantial progress in software engineering can be achieved, however, by bringing together pragmatic and foundational work in software engineering - search. This can provide a step towards a common scienti?c basis for software engineering that allows us to integrate the various research results, leading to fruitful synergetic e?ects. It will also help to identify critical research paths and to develop an adequate paradigm for the scienti?c discipline of software en- neering. In software and systems engineering it is necessary to distinguish the en- mous di?erence between the dynamics in development we refer to and the l- ited scope assumed by manyof today’ssoftware managerswho stilluse outdated techniques. Many of the unsolved problems associated with the old techniques are symptoms of a lack of formalization and a lack of automation support. It was the goal of this workshop to bring together experts from science and practice in software and systems engineering from North America and Europe.

Book Theorem Proving in Higher Order Logics

Download or read book Theorem Proving in Higher Order Logics written by Klaus Schneider and published by Springer. This book was released on 2007-08-23 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2007, held in Kaiserslautern, Germany, September 2007. Among the topics of this volume are 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.

Book Formal Methods and Software Engineering

Download or read book Formal Methods and Software Engineering written by Toshiaki Aoki and published by Springer. This book was released on 2012-10-29 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Formal Engineering Methods, ICFEM 2012, held in Kyoto, Japan, November 2012. The 31 revised full papers together with 3 invited talks presented were carefully reviewed and selected from 85 submissions. The papers address all current issues in formal methods and their applications in software engineering. They are organized in topical sections on concurrency, applications of formal methods to new areas, quantity and probability, formal verification, modeling and development methodology, temporal logics, abstraction and refinement, tools, as well as testing and runtime verification.

Book Concise Guide to Software Engineering

Download or read book Concise Guide to Software Engineering written by Gerard O'Regan and published by Springer. This book was released on 2017-05-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essential textbook presents a concise introduction to the fundamental principles of software engineering, together with practical guidance on how to apply the theory in a real-world, industrial environment. The wide-ranging coverage encompasses all areas of software design, management, and quality. Topics and features: presents a broad overview of software engineering, including software lifecycles and phases in software development, and project management for software engineering; examines the areas of requirements engineering, software configuration management, software inspections, software testing, software quality assurance, and process quality; covers topics on software metrics and problem solving, software reliability and dependability, and software design and development, including Agile approaches; explains formal methods, a set of mathematical techniques to specify and derive a program from its specification, introducing the Z specification language; discusses software process improvement, describing the CMMI model, and introduces UML, a visual modelling language for software systems; reviews a range of tools to support various activities in software engineering, and offers advice on the selection and management of a software supplier; describes such innovations in the field of software as distributed systems, service-oriented architecture, software as a service, cloud computing, and embedded systems; includes key learning topics, summaries and review questions in each chapter, together with a useful glossary. This practical and easy-to-follow textbook/reference is ideal for computer science students seeking to learn how to build high quality and reliable software on time and on budget. The text also serves as a self-study primer for software engineers, quality professionals, and software managers.

Book Theorem Proving in Higher Order Logics

Download or read book Theorem Proving in Higher Order Logics written by Konrad Slind and published by Springer Science & Business Media. This book was released on 2004-09-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2004) held September 14–17, 2004 in Park City, Utah, USA. TPHOLs covers all aspects of theorem proving in higher-order logics as well as related topics in theorem proving and veri?cation. There were 42 papers submitted to TPHOLs 2004 in the full research ca- gory, each of which was refereed by at least 3 reviewers selected by the program committee. Of these submissions, 21 were accepted for presentation at the c- ference and publication in this volume. In keeping with longstanding tradition, TPHOLs 2004 also o?ered a venue for the presentation of work in progress, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings c- taining papers about in-progress work was published as a 2004 technical report of the School of Computing at the University of Utah. The organizers are grateful to Al Davis, Thomas Hales, and Ken McMillan for agreeing to give invited talks at TPHOLs 2004. The TPHOLs conference traditionally changes continents each year in order to maximize the chances that researchers from around the world can attend.