Machine Assisted Theorem Proving For Software Engineering

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Machine-assisted Theorem-proving for Software Engineering

Andrew Martin
Machine assisted Theorem proving for Software Engineering Book PDF

Author : Andrew Martin
Publisher : Unknown
Page : 136 pages
File Size : 46,5 Mb
Release : 1996
Category : Automatic theorem proving
ISBN : 0902928953

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Machine-assisted Theorem-proving for Software Engineering by Andrew Martin Pdf

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."

Automated Theorem Proving in Software Engineering

Johann M. Schumann
Automated Theorem Proving in Software Engineering Book PDF

Author : Johann M. Schumann
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 45,9 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9783662226469

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Automated Theorem Proving in Software Engineering by Johann M. Schumann Pdf

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.

Computer-Aided Reasoning

Matt Kaufmann,Panagiotis Manolios,J Strother Moore
Computer Aided Reasoning Book PDF

Author : Matt Kaufmann,Panagiotis Manolios,J Strother Moore
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 55,5 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9781475731880

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Computer-Aided Reasoning by Matt Kaufmann,Panagiotis Manolios,J Strother Moore Pdf

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.

Advances in Machine Learning Applications in Software Engineering

Zhang, Du,Tsai, Jeffery J.P.
Advances in Machine Learning Applications in Software Engineering Book PDF

Author : Zhang, Du,Tsai, Jeffery J.P.
Publisher : IGI Global
Page : 498 pages
File Size : 41,7 Mb
Release : 2006-10-31
Category : Computers
ISBN : 9781591409434

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Advances in Machine Learning Applications in Software Engineering by Zhang, Du,Tsai, Jeffery J.P. Pdf

"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.

First-Order Logic and Automated Theorem Proving

Melvin Fitting
First Order Logic and Automated Theorem Proving Book PDF

Author : Melvin Fitting
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468403572

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First-Order Logic and Automated Theorem Proving by Melvin Fitting Pdf

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.

Automated Deduction - A Basis for Applications Volume I Foundations - Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications

Wolfgang Bibel,P.H. Schmitt
Automated Deduction A Basis for Applications Volume I Foundations Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications Book PDF

Author : Wolfgang Bibel,P.H. Schmitt
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 53,5 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401704359

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Automated Deduction - A Basis for Applications Volume I Foundations - Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications by Wolfgang Bibel,P.H. Schmitt Pdf

1. BASIC CONCEPTS OF INTERACTIVE THEOREM PROVING Interactive Theorem Proving ultimately aims at the construction of powerful reasoning tools that let us (computer scientists) prove things we cannot prove without the tools, and the tools cannot prove without us. Interaction typi cally is needed, for example, to direct and control the reasoning, to speculate or generalize strategic lemmas, and sometimes simply because the conjec ture to be proved does not hold. In software verification, for example, correct versions of specifications and programs typically are obtained only after a number of failed proof attempts and subsequent error corrections. Different interactive theorem provers may actually look quite different: They may support different logics (first-or higher-order, logics of programs, type theory etc.), may be generic or special-purpose tools, or may be tar geted to different applications. Nevertheless, they share common concepts and paradigms (e.g. architectural design, tactics, tactical reasoning etc.). The aim of this chapter is to describe the common concepts, design principles, and basic requirements of interactive theorem provers, and to explore the band width of variations. Having a 'person in the loop', strongly influences the design of the proof tool: proofs must remain comprehensible, - proof rules must be high-level and human-oriented, - persistent proof presentation and visualization becomes very important.

Mathematical Foundations of Software Engineering

Gerard O'Regan
Mathematical Foundations of Software Engineering Book PDF

Author : Gerard O'Regan
Publisher : Springer Nature
Page : 538 pages
File Size : 45,7 Mb
Release : 2023-05-04
Category : Computers
ISBN : 9783031262128

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Mathematical Foundations of Software Engineering by Gerard O'Regan Pdf

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.

Concise Guide to Software Engineering

Gerard O'Regan
Concise Guide to Software Engineering Book PDF

Author : Gerard O'Regan
Publisher : Springer
Page : 331 pages
File Size : 45,7 Mb
Release : 2017-05-30
Category : Computers
ISBN : 9783319577500

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Concise Guide to Software Engineering by Gerard O'Regan Pdf

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.

Formal Methods and Software Engineering

Toshiaki Aoki,Kenji Taguchi
Formal Methods and Software Engineering Book PDF

Author : Toshiaki Aoki,Kenji Taguchi
Publisher : Springer
Page : 524 pages
File Size : 47,9 Mb
Release : 2012-10-29
Category : Computers
ISBN : 9783642342813

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Formal Methods and Software Engineering by Toshiaki Aoki,Kenji Taguchi Pdf

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.

Theorem Proving in Higher Order Logics

Joe Hurd
Theorem Proving in Higher Order Logics Book PDF

Author : Joe Hurd
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 47,5 Mb
Release : 2005-08-08
Category : Computers
ISBN : 9783540283720

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Theorem Proving in Higher Order Logics by Joe Hurd Pdf

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.

Computer-Aided Reasoning

Matt Kaufmann,Panagiotis Manolios,J Strother Moore
Computer Aided Reasoning Book PDF

Author : Matt Kaufmann,Panagiotis Manolios,J Strother Moore
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 45,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461544494

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Computer-Aided Reasoning by Matt Kaufmann,Panagiotis Manolios,J Strother Moore Pdf

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.

ZUM '95: The Z Formal Specification Notation

Jonathan P. Bowen
ZUM 95 The Z Formal Specification Notation Book PDF

Author : Jonathan P. Bowen
Publisher : Springer Science & Business Media
Page : 596 pages
File Size : 47,6 Mb
Release : 1995-08-23
Category : Computers
ISBN : 3540602712

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ZUM '95: The Z Formal Specification Notation by Jonathan P. Bowen Pdf

This book presents the proceedings of the 9th International Conference of Z Users, ZUM '95, held in Limerick, Ireland in September 1995. The book contains 34 carefully selected papers on Z, using Z, applications of Z, proof, testing, industrial usage, object orientation, animation of specification, method integration, and teaching formal methods. Of particular interest is the inclusion of an annotated Z bibliography listing 544 entries. While focussing on Z, by far the most commonly used "formal method" both in industry and application, the volume is of high relevance for the whole formal methods community.

Mathematical Approaches to Software Quality

Gerard O'Regan
Mathematical Approaches to Software Quality Book PDF

Author : Gerard O'Regan
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 53,5 Mb
Release : 2006-02-16
Category : Computers
ISBN : 184628242X

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Mathematical Approaches to Software Quality by Gerard O'Regan Pdf

This book provides a comprehensive introduction to various mathematical approaches to achieving high-quality software. An introduction to mathematics that is essential for sound software engineering is provided as well as a discussion of various mathematical methods that are used both in academia and industry. The mathematical approaches considered include: Z specification language Vienna Development Methods (VDM) Irish school of VDM (VDM) approach of Dijkstra and Hoare classical engineering approach of Parnas Cleanroom approach developed at IBM software reliability, and unified modelling language (UML). Additionally, technology transfer of the mathematical methods to industry is considered. The book explains the main features of these approaches and applies mathematical methods to solve practical problems. Written with both student and professional in mind, this book assists the reader in applying mathematical methods to solve practical problems that are relevant to software engineers.

ZUM '98: The Z Formal Specification Notation

Jonathan P. Bowen,Andreas Fett,Michael G. Hinchey
ZUM 98 The Z Formal Specification Notation Book PDF

Author : Jonathan P. Bowen,Andreas Fett,Michael G. Hinchey
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 55,9 Mb
Release : 1998-09-16
Category : Computers
ISBN : 9783540650706

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ZUM '98: The Z Formal Specification Notation by Jonathan P. Bowen,Andreas Fett,Michael G. Hinchey Pdf

1 In a number of recent presentations – most notably at FME’96 –oneofthe foremost scientists in the ?eld of formal methods, C.A.R. Hoare,has highlighted the fact that formal methods are not the only technique for producing reliable software. This seems to have caused some controversy,not least amongst formal methods practitioners. How can one of the founding fathers of formal methods seemingly denounce the ?eld of research after over a quarter of a century of support? This is a question that has been posed recently by some formal methods skeptics. However, Prof. Hoare has not abandoned formal methods. He is reiterating, 2 albeitmoreradically,his1987view thatmorethanonetoolandnotationwillbe requiredinthepractical,industrialdevelopmentoflarge-scalecomplexcomputer systems; and not all of these tools and notations will be, or even need be, formal in nature. Formalmethods arenotasolution,butratheroneofaselectionoftechniques that have proven to be useful in the development of reliable complex systems, and to result in hardware and software systems that can be produced on-time and within a budget, while satisfying the stated requirements. After almostthree decades,the time has come to view formalmethods in the context of overall industrial-scale system development, and their relationship to othertechniquesandmethods.Weshouldnolongerconsidertheissueofwhether we are “pro-formal” or “anti-formal”, but rather the degree of formality (if any) that we need to support in system development. This is a goal of ZUM’98, the 11th International Conference of Z Users, held for the ?rst time within continental Europe in the city of Berlin, Germany.

Embedded Computing Systems: Applications, Optimization, and Advanced Design

Khalgui, Mohamed
Embedded Computing Systems Applications Optimization and Advanced Design Book PDF

Author : Khalgui, Mohamed
Publisher : IGI Global
Page : 558 pages
File Size : 53,9 Mb
Release : 2013-04-30
Category : Computers
ISBN : 9781466639232

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Embedded Computing Systems: Applications, Optimization, and Advanced Design by Khalgui, Mohamed Pdf

Embedded computing systems play an important and complex role in the functionality of electronic devices. With our daily routines becoming more reliant on electronics for personal and professional use, the understanding of these computing systems is crucial. Embedded Computing Systems: Applications, Optimization, and Advanced Design brings together theoretical and technical concepts of intelligent embedded control systems and their use in hardware and software architectures. By highlighting formal modeling, execution models, and optimal implementations, this reference source is essential for experts, researchers, and technical supporters in the industry and academia.