formalising-process-calculi-in-higher-order-logic

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Formalising Process Calculi in Higher Order Logic

Author : Monica Nesi
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Formalising Process Calculi in Higher Order Logic by : Monica Nesi

Download or read book Formalising Process Calculi in Higher Order Logic written by Monica Nesi and published by . This book was released on 1997 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "In the past few years, several methods and tools based on process calculi have been developed for verifying properties of concurrent and communicating systems. In this dissertation the interactive theorem prover HOL is used as a framework for supporting reasoning about process calculi based on all the various components of their formal theory. The aim is to build a sound and effective tool to allow both verification of process specifications and meta-theoretic reasoning. In particular, the process calculus CCS is embedded in the HOL logic. This is achieved by first addressing the pure subset of this calculus (no value passing) and then extending it to its value-passing version. The CCS theory is mechanised in HOL by following a purely definitional approach. This means that new objects are embedded in HOL using definition mechanisms which guarantee that no inconsistencies are introduced in the logic, and by deriving new facts from definitions and/or previously proved theorems by formal proof. Pure CCS agent expressions are encoded as a type in the HOL logic, in which initially actions are represented as strings, agents with infinite behaviour are given through the rec-notation and agent summation is the usual binary operator. Recursive agents are then allowed to be defined through systems of recursive equations and to be parameterised. This makes the type of CCS expressions polymorphic and parameterised on the parameters' type. Operational and behavioural semantics and a modal logic are defined and their properties and laws derived in HOL. Several proof tools, such as inference rules, conversions and tactics, are developed to enable users to carry out their proofs in an interactive way and to automate them whenever possible. Properties of infinite state systems, e.g. a counter which can expand indefinitely, can be formally verified in the resulting proof environment. Then, value-passing CCS is mechanised in HOL by translating value-passing expressions into pure ones. This entails a more general polymorphic type for pure agent expressions that includes an indexed summation operator. The translation is proved to be correct with respect to the semantics of value-passing CCS and then used at meta-level, together with the HOL formalisation for pure CCS, for developing behavioural theories for the value-passing calculus. A proof environment is thus derived, in which users will directly work on value-passing specifications. A verification example illustrates how proofs about the data are neatly separated from proofs about the process behaviour and how [omega]-data-rules can be used in a practical way to reason about value- passing agents defined over an infinite value domain."

Higher Order Logic Theorem Proving and Its Applications

Author : E. Thomas Schubert
Publisher : Springer Science & Business Media
ISBN 13 : 9783540602750
Total Pages : 424 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Higher Order Logic Theorem Proving and Its Applications by : E. Thomas Schubert

Download or read book Higher Order Logic Theorem Proving and Its Applications written by E. Thomas Schubert and published by Springer Science & Business Media. This book was released on 1995-08-23 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 8th International Conference on Higher Order Logic Theorem Proving and Its Applications, held in Aspen Grove, Utah, USA in September 1995. The 26 papers selected by the program committee for inclusion in this volume document the advances in the field achieved since the predecessor conference. The papers presented fall into three general categories: representation of formalisms in higher order logic; applications of mechanized higher order logic; and enhancements to the HOL and other theorem proving systems.

Theorem Proving in Higher Order Logics

Author : Elsa L. Gunter
Publisher : Springer Science & Business Media
ISBN 13 : 9783540633792
Total Pages : 358 pages
Book Rating : 4.6/5 (337 download)

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Book Synopsis Theorem Proving in Higher Order Logics by : Elsa L. Gunter

Download or read book Theorem Proving in Higher Order Logics written by Elsa L. Gunter and published by Springer Science & Business Media. This book was released on 1997-08-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '97, held in Murray Hill, NJ, USA, in August 1997. The volume presents 19 carefully revised full papers selected from 32 submissions during a thorough reviewing process. The papers cover work related to all aspects of theorem proving in higher order logics, particularly based on secure mechanization of those logics; the theorem proving systems addressed include Coq, HOL, Isabelle, LEGO, and PVS.

Mathematics of Program Construction

Author : Philippe Audebaud (ed)
Publisher : Springer Science & Business Media
ISBN 13 : 3540705937
Total Pages : 431 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Mathematics of Program Construction by : Philippe Audebaud (ed)

Download or read book Mathematics of Program Construction written by Philippe Audebaud (ed) and published by Springer Science & Business Media. This book was released on 2008-07-04 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Mathematics of Program Construction, MPC 2008, held in Marseille, France in July 2008. The 18 revised full papers presented together with 1 invited talk were carefully reviewed and selected from 41 submissions. Issues addressed range from algorithmics to support for program construction in programming languages and systems. Topics of special interest are type systems, program analysis and transformation, programming language semantics, program logics.

Foundations of Software Science and Computation Structures

Author : Furio Honsell
Publisher : Springer
ISBN 13 : 3540453156
Total Pages : 420 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Furio Honsell

Download or read book Foundations of Software Science and Computation Structures written by Furio Honsell and published by Springer. This book was released on 2007-12-03 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: ETAPS 2001 was the fourth instance of the European Joint Conferences on Theory and Practice of Software. ETAPS is an annual federated conference that was established in 1998 by combining a number of existing and new conferences. This year it comprised ve conferences (FOSSACS, FASE, ESOP, CC, TACAS), ten satellite workshops (CMCS, ETI Day, JOSES, LDTA, MMAABS, PFM, RelMiS, UNIGRA, WADT, WTUML), seven invited lectures, a debate, and ten tutorials. The events that comprise ETAPS address various aspects of the system de- lopment process, including speci cation, design, implementation, analysis, and improvement. The languages, methodologies, and tools which support these - tivities are all well within its scope. Di erent blends of theory and practice are represented, with an inclination towards theory with a practical motivation on one hand and soundly-based practice on the other. Many of the issues involved in software design apply to systems in general, including hardware systems, and the emphasis on software is not intended to be exclusive.

Programming with Higher-Order Logic

Author : Dale Miller
Publisher : Cambridge University Press
ISBN 13 : 1139510428
Total Pages : pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Programming with Higher-Order Logic by : Dale Miller

Download or read book Programming with Higher-Order Logic written by Dale Miller and published by Cambridge University Press. This book was released on 2012-06-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal systems that describe computations over syntactic structures occur frequently in computer science. Logic programming provides a natural framework for encoding and animating such systems. However, these systems often embody variable binding, a notion that must be treated carefully at a computational level. This book aims to show that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment. Three broad topics are covered in pursuit of this goal. First, a proof-theoretic framework that supports a general view of logic programming is identified. Second, an actual language called λProlog is developed by applying this view to higher-order logic. Finally, a methodology for programming with specifications is exposed by showing how several computations over formal objects such as logical formulas, functional programs, and λ-terms and π-calculus expressions can be encoded in λProlog.

Theorem Proving in Higher Order Logics

Author : Stefan Berghofer
Publisher : Springer
ISBN 13 : 3642033598
Total Pages : 517 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Theorem Proving in Higher Order Logics by : Stefan Berghofer

Download or read book Theorem Proving in Higher Order Logics written by Stefan Berghofer and published by Springer. This book was released on 2009-08-20 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics, TPHOLs 200, held in Munich, Germany, in August 2009. The 26 revised full papers presented together with 1 proof pearl, 4 tool presentations, and 3 invited papers were carefully reviewed and selected from 55 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as 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.

Foundations of Software Science and Computational Structures

Author : Helmut Seidl
Publisher : Springer Science & Business Media
ISBN 13 : 3540713891
Total Pages : 388 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Foundations of Software Science and Computational Structures by : Helmut Seidl

Download or read book Foundations of Software Science and Computational Structures written by Helmut Seidl and published by Springer Science & Business Media. This book was released on 2007-07-02 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2007, held in Braga, Portugal in March/April 2007. The 25 revised full papers presented together with the abstract of one invited talk cover a broad spectrum on theories and methods to support analysis, synthesis, transformation and verification of programs and software systems.

Higher Order Logic Theorem Proving and its Applications

Author : L.J.M. Claesen
Publisher : Elsevier
ISBN 13 : 148329840X
Total Pages : 582 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Higher Order Logic Theorem Proving and its Applications by : L.J.M. Claesen

Download or read book Higher Order Logic Theorem Proving and its Applications written by L.J.M. Claesen and published by Elsevier. This book was released on 2014-05-23 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The HOL system is a higher order logic theorem proving system implemented at Edinburgh University, Cambridge University and INRIA. Its many applications, from the verification of hardware designs at all levels to the verification of programs and communication protocols are considered in depth in this volume. Other systems based on higher order logic, namely Nuprl and LAMBDA are also discussed. Features given particular consideration are: novel developments in higher order logic and its implementations in HOL; formal design and verification methodologies for hardware and software; public domain availability of the HOL system. Papers addressing these issues have been divided as follows: Mathematical Logic; Induction; General Modelling and Proofs; Formalizing and Modelling of Automata; Program Verification; Hardware Description Language Semantics; Hardware Verification Methodologies; Simulation in Higher Order Logic; Extended Uses of Higher Order Logic. Academic and industrial researchers involved in formal hardware and software design and verification methods should find the publication especially interesting and it is hoped it will also provide a useful reference tool for those working at software institutes and within the electronics industries.

Theorem Proving with the Real Numbers

Author : John Harrison
Publisher : Springer Science & Business Media
ISBN 13 : 1447115910
Total Pages : 193 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Theorem Proving with the Real Numbers by : John Harrison

Download or read book Theorem Proving with the Real Numbers written by John Harrison and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the use of the real numbers in theorem proving. Typ ically, theorem provers only support a few 'discrete' datatypes such as the natural numbers. However the availability of the real numbers opens up many interesting and important application areas, such as the verification of float ing point hardware and hybrid systems. It also allows the formalization of many more branches of classical mathematics, which is particularly relevant for attempts to inject more rigour into computer algebra systems. Our work is conducted in a version of the HOL theorem prover. We de scribe the rigorous definitional construction of the real numbers, using a new version of Cantor's method, and the formalization of a significant portion of real analysis. We also describe an advanced derived decision procedure for the 'Tarski subset' of real algebra as well as some more modest but practically useful tools for automating explicit calculations and routine linear arithmetic reasoning. Finally, we consider in more detail two interesting application areas. We discuss the desirability of combining the rigour of theorem provers with the power and convenience of computer algebra systems, and explain a method we have used in practice to achieve this. We then move on to the verification of floating point hardware. After a careful discussion of possible correctness specifications, we report on two case studies, one involving a transcendental function.

Higher Order Logic Theorem Proving and Its Applications

Author : Jeffrey J. Joyce
Publisher : Springer Science & Business Media
ISBN 13 : 9783540578260
Total Pages : 538 pages
Book Rating : 4.5/5 (782 download)

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Book Synopsis Higher Order Logic Theorem Proving and Its Applications by : Jeffrey J. Joyce

Download or read book Higher Order Logic Theorem Proving and Its Applications written by Jeffrey J. Joyce and published by Springer Science & Business Media. This book was released on 1994-04-28 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 1993 Higher-Order Logic User's Group Workshop, held at the University of British Columbia in August 1993. The workshop was sponsored by the Centre for Integrated Computer System Research. It was the sixth in the series of annual international workshops dedicated to the topic of Higher-Order Logic theorem proving, its usage in the HOL system, and its applications. The volume contains 40 papers, including an invited paper by David Parnas, McMaster University, Canada, entitled "Some theorems we should prove".

Formal Methods and Software Engineering

Author : Jin Song Dong
Publisher : Springer
ISBN 13 : 3540398937
Total Pages : 682 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Formal Methods and Software Engineering by : Jin Song Dong

Download or read book Formal Methods and Software Engineering written by Jin Song Dong and published by Springer. This book was released on 2003-11-06 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2003 International Conference on Formal Engineering Methods (ICFEM 2003). The conference was the ?fth in a series that began in 1997. ICFEM 2003 was held in Singapore during 5–7 November 2003. ICFEM 2003 aimed to bring together researchers and practitioners from - dustry, academia, and government to advance the state of the art in formal engineering methods and to encourage a wider uptake of formal methods in industry. The Program Committee received 91 submissions from more than 20 co- tries in various regions. After each paper was reviewed by at least three referees in each relevant ?eld, 34 high-quality papers were accepted based on originality, technical content, presentation and relevance to formal methods and software engineering. We wish to sincerely thank all authors who submitted their work for consideration. We would also like to thank the Program Committee members and other reviewers for their great e?orts in the reviewing and selecting process. Weareindebtedtothethreekeynotespeakers,Prof.IanHayesoftheUniv- sity of Queensland, Prof. Mathai Joseph of the Tata Research, Development and DesignCentre,andDr.ColinO’HalloranofQinetiQ,foracceptingourinvitation to address the conference.

Coordination Models and Languages

Author : Doug Lea
Publisher : Springer
ISBN 13 : 3540682651
Total Pages : 350 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Coordination Models and Languages by : Doug Lea

Download or read book Coordination Models and Languages written by Doug Lea and published by Springer. This book was released on 2008-05-27 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern information systems rely increasingly on combining concurrent, d- tributed, real-time, recon?gurable and heterogeneous components. New models, architectures, languages, and veri?cation techniques are necessary to cope with thecomplexityinducedbythedemandsoftoday’ssoftwaredevelopment. COOR- DINATIONaimstoexplorethespectrumoflanguages,middleware,services,and algorithms that separate behavior from interaction, therefore increasing mo- larity, simplifying reasoning, and ultimately enhancing software development. This volume contains the proceedings of the 10th International Conference on Coordination Models and Languages, COORDINATION 2008, held in Oslo, Norway in June 2008, as part of the federated DisCoTec conference. COORDI- NATIONitselfispartofaserieswhoseproceedingshavebeenpublishedinLNCS volumes 1061, 1282, 1594, 1906, 2315, 2949, 3454, 4038, and 4467. From the 61 submissions received from around the world, the Program Committee selected 21 papers for presentation and publication in this volume on the basis of or- inality, quality, and relevance to the topics of the conference. Each submission received at least three reviews. As with previous editions, the paper submission and selection processes were managed entirely electronically. This was acc- plished using EasyChair, a free Web-based conference management system. In addition to the technical paper presentations, COORDINATION 2008 hosted an invited presentation by Matt Welsh from Harvard University. We are grateful to all the Program Committee members who devoted much e?ort and time to read and discuss the papers. Moreover, we acknowledge the help of additional external reviewers who evaluated submissions in their area of expertise. Finally,wewouldliketothanktheauthorsofallthesubmittedpapersandthe conferenceattendees, for keeping this researchcommunity lively and interactive, and ultimately ensuring the success of this conference series.

Refinement Calculus

Author : Ralph-Johan Back
Publisher : Springer Science & Business Media
ISBN 13 : 1461216745
Total Pages : 514 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Refinement Calculus by : Ralph-Johan Back

Download or read book Refinement Calculus written by Ralph-Johan Back and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much current research in computer science is concerned with two questions: is a program correct? And how can we improve a correct program preserving correctness? This latter question is known as the refinement of programs and the purpose of this book is to consider these questions in a formal setting. In fact, correctness turns out to be a special case of refinement and so the focus is on refinement. Although a reasonable background knowledge is assumed from mathematics and CS, the book is a self-contained introduction suitable for graduate students and researchers coming to this subject for the first time. There are numerous exercises provided of varying degrees of challenge.

Theorem Proving in Higher Order Logics

Author : Victor A. Carreño
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Theorem Proving in Higher Order Logics by : Victor A. Carreño

Download or read book Theorem Proving in Higher Order Logics written by Victor A. Carreño and published by . This book was released on 2002 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theorem Proving in Higher Order Logics

Author : Victor A. Carreno
Publisher : Springer Science & Business Media
ISBN 13 : 3540440399
Total Pages : 358 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Theorem Proving in Higher Order Logics by : Victor A. Carreno

Download or read book Theorem Proving in Higher Order Logics written by Victor A. Carreno and published by Springer Science & Business Media. This book was released on 2002-08-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Felty PuzzleTool:AnExampleofProgrammingComputationandDeduction . . 214 MichaelJ. C. Gordon AFormalApproachtoProbabilisticTermination. ... ... 230 JoeHurd UsingTheoremProvingforNumericalAnalysis. ... ... . 246 MicaelaMayero QuotientTypes:AModularApproach. ... ... ... 263 AlekseyNogin SequentSchemaforDerivedRules ... ... ... . 281 AlekseyNogin, JasonHickey AlgebraicStructuresandDependentRecords ... ... . 298 VirgilePrevosto, DamienDoligez, Thþ er` eseHardin ProvingtheEquivalenceofMicrostepandMacrostepSemantics. ... 314 KlausSchneider WeakestPreconditionforGeneralRecursiveProgramsFormalizedinCoq.

Logic, Language, Information and Computation

Author : Hiroakira Ono
Publisher : Springer
ISBN 13 : 3642022618
Total Pages : 418 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Logic, Language, Information and Computation by : Hiroakira Ono

Download or read book Logic, Language, Information and Computation written by Hiroakira Ono and published by Springer. This book was released on 2009-06-07 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 16h International Workshop on Logic, Language, Information and Computation, WoLLIC 2009, held in Tokyo, Japan, in June 2009. The 25 revised full papers presented together with six tutorials and invited talks were carefully reviewed and selected from 57 submissions. The papers cover some of the most active areas of research on the frontiers between computation, logic, and linguistics, with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.