Towards A Proof Theory Of Rewriting
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Towards A Proof Theory Of Rewriting
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Author : Barnaby P. Hilken
language : en
Publisher:
Release Date : 1994
Towards A Proof Theory Of Rewriting written by Barnaby P. Hilken and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Proof theory categories.
Abstract: "This paper describes the simply-typed 2-[lambda]- calculus, a language with three levels: types, terms and rewrites. The types and terms are those of the simply-typed [lambda]-calculus, and the rewrites are expressions denoting sequences of [beta]-reductions and [eta]- expansions. An equational theory is imposed on the rewrites, based on 2- categorical justifications, and the word problem for this theory is solved by finding a canonical expression in each equivalence class. The canonical form of rewrites allows us to prove several properties of the calculus, including a strong form of confluence and a classification of the long-[beta]-[eta]-normal forms in terms of their rewrites. Finally we use these properties as the basic definitions of a theory of categorical rewriting, and find that the expected relationships between confluence, strong normalisation and normal forms hold."
Rewriting Computation And Proof
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Author : Hubert Comon-Lundh
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-22
Rewriting Computation And Proof written by Hubert Comon-Lundh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-22 with Computers categories.
Jean-Pierre Jouannaud has played a leading role in the field of rewriting and its technology. This Festschrift volume, published to honor him on his 60th Birthday, includes 13 refereed papers by leading researchers, current and former colleagues. The papers are grouped in thematic sections on Rewriting Foundations, Proof and Computation, and a final section entitled Towards Safety and Security.
Term Rewriting Systems
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Author : Terese
language : en
Publisher: Cambridge University Press
Release Date : 2003-03-20
Term Rewriting Systems written by Terese and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-20 with Computers categories.
Term rewriting systems developed out of mathematical logic and are an important part of theoretical computer science. They consist of sequences of discrete transformation steps where one term is replaced with another and have applications in many areas, from functional programming to automatic theorem proving and computer algebra. This 2003 book starts at an elementary level with the earlier chapters providing a foundation for the rest of the work. Much of the advanced material appeared here for the first time in book form. Subjects treated include orthogonality, termination, completion, lambda calculus, higher-order rewriting, infinitary rewriting and term graph rewriting. Many exercises are included with selected solutions provided on the web. A comprehensive bibliography makes this book ideal both for teaching and research. A chapter is included presenting applications of term rewriting systems, with many pointers to actual implementations.
Processes Terms And Cycles Steps On The Road To Infinity
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Author : Aart Middeldorp
language : en
Publisher: Springer
Release Date : 2005-12-11
Processes Terms And Cycles Steps On The Road To Infinity written by Aart Middeldorp and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-11 with Mathematics categories.
This Festschrift is dedicated to Jan Willem Klop on the occasion of his 60th birthday. The volume comprises a total of 23 scientific papers by close friends and colleagues, written specifically for this book. The papers are different in nature: some report on new research, others have the character of a survey, and again others are mainly expository. Every contribution has been thoroughly refereed at least twice. In many cases the first round of referee reports led to significant revision of the original paper, which was again reviewed. The articles especially focus upon the lambda calculus, term rewriting and process algebra, the fields to which Jan Willem Klop has made fundamental contributions.
The Economic Philosophy Of The Internet Of Things
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Author : James Juniper
language : en
Publisher: Routledge
Release Date : 2018-06-27
The Economic Philosophy Of The Internet Of Things written by James Juniper and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-27 with Business & Economics categories.
To properly understand the nature of the digital economy we need to investigate the phenomenon of a "ubiquitous computing system" (UCS). As defined by Robin Milner, this notion implies the following characteristics: (i) it will continually make decisions hitherto made by us; (ii) it will be vast, maybe 100 times today’s systems; (iii) it must continually adapt, on-line, to new requirements; and, (iv) individual UCSs will interact with one another. This book argues that neoclassical approaches to modelling economic behaviour based on optimal control by "representative-agents" are ill-suited to a world typified by concurrency, decentralized control, and interaction. To this end, it argues for the development of new, process-based approaches to analysis, modelling, and simulation. The book provides the context—both philosophical and mathematical—for the construction and application of new, rigorous, and meaningful analytical tools. In terms of social theory, it adopts a Post-Cognitivist approach, the elements of which include the nature philosophy of Schelling, Marx’s critique of political economy, Peircean Pragmatism, Whitehead’s process philosophy, and Merleau-Ponty’s phenomenology of the flesh, along with cognitive scientific notions of embodied cognition and neural Darwinism, as well as more questionable notions of artificial intelligence that are encompassed by the rubric of "perception-and-action-without-intelligence".
Rewriting Techniques And Applications
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Author : Andrei Voronkov
language : en
Publisher: Springer
Release Date : 2008-07-11
Rewriting Techniques And Applications written by Andrei Voronkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Computers categories.
This book constitutes the refereed proceedings of the 19th International Conference on Rewriting Techniques and Applications, RTA 2008, held in Hagenberg, Austria, July 15-17, in June 2008 as part of the RISC Summer 2008. The 30 revised full papers presented were carefully reviewed and selected from 57 initial submissions. The papers cover current research on all aspects of rewriting including typical areas of interest such as applications, foundational issues, frameworks, implementations, and semantics.
Rewriting Logic And Its Applications
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Author : Santiago Escobar
language : en
Publisher: Springer Nature
Release Date : 2020-12-10
Rewriting Logic And Its Applications written by Santiago Escobar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with Computers categories.
This book constitutes selected papers from the 12th International Workshop on Rewriting Logic and Its Applications, WRLA 2020, held in Dublin, Ireland, in April 2020. Due to the COVID-19 pandemic the workshop took place virtually. The 11 full papers presented in this volume were carefully reviewed and selected from 16 submissions Rewriting logic is a natural model of computation and an expressive semantic framework for concurrency, parallelism, communication, and interaction. It can be used for specifying a wide range of systems and languages in various application fields.
A Proof Theory For General Unification
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Author : W. Snyder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Proof Theory For General Unification written by W. Snyder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig inated by Herbrand and developed in the case of standard first-order unifi cation by Martelli and Montanari. The formalism presents the unification computation as a set of non-deterministic transformation rules for con verting a set of equations to be unified into an explicit representation of a unifier (if such exists). This provides an abstract and mathematically elegant means of analysing the properties of unification in various settings by providing a clean separation of the logical issues from the specification of procedural information, and amounts to a set of 'inference rules' for unification, hence the title of this book. We derive the set of transformations for general E-unification and higher order unification from an analysis of the sense in which terms are 'the same' after application of a unifying substitution. In both cases, this results in a simple extension of the set of basic transformations given by Herbrand Martelli-Montanari for standard unification, and shows clearly the basic relationships of the fundamental operations necessary in each case, and thus the underlying structure of the most important classes of term unifi cation problems.
Proceedings Of The 22nd Conference On Formal Methods In Computer Aided Design Fmcad 2022
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Author : Alberto Griggio
language : en
Publisher: TU Wien Academic Press
Release Date : 2022-10-12
Proceedings Of The 22nd Conference On Formal Methods In Computer Aided Design Fmcad 2022 written by Alberto Griggio and has been published by TU Wien Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-12 with Computers categories.
The Conference on Formal Methods in Computer-Aided Design (FMCAD) is an annual conference on the theory and applications of formal methods in hardware and system in academia and industry for presenting and discussing groundbreaking methods, technologies, theoretical results, and tools for reasoning formally about computing systems. FMCAD covers formal aspects of computer-aided system testing.
Automated Reasoning With Analytic Tableaux And Related Methods
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Author : Revantha Ramanayake
language : en
Publisher: Springer Nature
Release Date : 2023-09-13
Automated Reasoning With Analytic Tableaux And Related Methods written by Revantha Ramanayake and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-13 with Computers categories.
This open access book constitutes the proceedings of the proceedings of the 32nd International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2023, held in Prague, Czech Republic, during September 18-21, 2023. The 20 full papers and 5 short papers included in this book together with 5 abstracts of invited talks were carefully reviewed and selected from 43 submissions. They present research on all aspects of the mechanization of reasoning with tableaux and related methods. The papers are organized in the following topical sections: tableau calculi; sequent calculi; theorem proving; non-wellfounded proofs; modal logics; linear logic and MV-algebras; separation logic; and first-order logics.