Term Rewriting and All That

Unified and self-contained introduction to term-rewriting; suited for students or professionals.

Author: Franz Baader

Publisher: Cambridge University Press

ISBN: 0521779200

Category: Computers

Page: 301

View: 356


Unified and self-contained introduction to term-rewriting; suited for students or professionals.

Term Rewriting Systems

DEFINITION . Let S be a one - step strategy for an abstract rewriting system . The
corresponding hyper- or quasi - S strategy is the many - step strategy for + ,
where only many - steps of the form # . + s : or ending in a normal form are
allowed .

Author: Terese

Publisher: Cambridge University Press

ISBN: 0521391156

Category: Computers

Page: 884

View: 592


Table of contents

Higher Order Algebra Logic and Term Rewriting

We discuss some aspects of term graph rewriting based on systems of recursion
equations. This is done for first-order signatures as well as lambda calculus. Also
relations with infinitary rewriting are discussed. 0. Introduction. In this paper we ...

Author: Gilles Dowek

Publisher: Springer Science & Business Media

ISBN: 3540612548

Category: Computers

Page: 296

View: 365


This book presents a collection of revised refereed papers selected from the presentations accepted for the Second International Workshop on Higher-Order Algebra, Logic, and Term Rewriting, HOA '95, held in Paderborn, Germany, in September 1995. The 14 research papers included, together with an invited paper by Jan Willem Klop, report state-of-the-art results; the relevant theoretical aspects are addressed, and in addition existing proof systems and term rewriting systems are discussed.

Rewriting Techniques and Applications

This means that, by identifying equational theories with rewrite theories such that
the sets L and R are empty, equational logic can be naturally regarded as a
sublogic of rewriting logic. In this way, the equational world is preserved intact
within ...



ISBN: UOM:39015048228566

Category: Algorithms


View: 279


Conditional Term Rewriting Systems

Proceedings Stephane Kaplan Jean-Pierre Jouannaud. • a substitution s such
that : • t« = "(9) • 0(p) — */j fl true ~~**H R ** the transitive reflexive closure of—»H
,R- Definition 10 Hierarchy level of an operator, a term, a rule, a rewriting step Let

Author: Stephane Kaplan

Publisher: Springer Science & Business Media

ISBN: 3540192425

Category: Computers

Page: 278

View: 975


The 1st International Workshop on Conditional Term Rewriting Systems took place in Orsay (University of Paris-Sud) in July 1987, and brought together most of the researchers involved in the field. Conditional rewriting has actually known important breakthroughs during the last two years; it was the purpose of the workshop to put the results together, to present new, original contributions to the domain, and to discuss still unsolved issues. These contributions are reported in the proceedings. The main questions that have been addressed are the different semantics for conditional rewriting and their classification, possible extensions to the basic formalism, and the relationship between conditional rewriting and logic programming. Also, more practical issues such as applications and implementations of conditional term rewriting systems have been addressed. Descriptions of seven actual systems allowing conditional rewriting are included.

Rewriting Computation and Proof

2.2 Term Rewriting We use the standard notions and notations from [2,15] for first
-order term rewriting systems (TRSs). We also consider higher-order rewriting
systems with patterns (HRSs), defined by Nipkow [11]. At some places in the ...

Author: Claude Kirchner

Publisher: Springer Science & Business Media

ISBN: 9783540731467

Category: Computers

Page: 272

View: 277


Jean-Pierre Jouannaud has deeply influenced, and is still influencing, research in Informatics, through the many important results he has produced in various research fields and through the generations of scholars he has educated. He has played a leading role in field of rewriting and its technology, advancing the research areas of unification, rewriting and completion modulo, conditional rewriting, termination proofs, modular properties, and automated proofs by induction in rewrite theories. Following his strong interest for algebraic specification languages and their efficient implementation, Jean-Pierre Jouannaud has contributed to the design, semantics and implementation of OBJ2 and has recently augmented the Maude rewriting logic system with an essential feature: membership equational logic. He was a member of the CNU (National University Council) and a member of the CNRS national committee. He is now heading with great success the computer science laboratory at the Ecole Polytechnique thus showing his exceptional qualities as a research team manager and supervisor of students. This Festschrift volume, published to honor Jean-Pierre Jouannaud on his 60th Birthday on May 12, 2007, includes 13 refereed papers by leading researchers, current and former colleagues, who congregated at a celebratory symposium held in Cachan near Paris, France, on June 21-22, 2007. The papers are grouped in thematic sections on Rewriting Foundations, Proof and Computation, and a final section entitled Towards Safety and Security.

Rewriting Systems for Coxeter Groups

Chapter 2 : Rewriting Systems Let S be a set ( called an alphabet ) and let S * be
the free monoid on S. S * consists of all words in the letters of S ; the empty word
will be represented by 1. A rewriting system on S * is a subset R Ç S * * S * .

Author: Susan Marie Hermiller


ISBN: CORNELL:31924063313088


Page: 82

View: 606


Rewriting Logic and Its Applications

Rewriting is a form of inference, and one that interacts in several ways with other
forms of inference such as decision procedures and proof search. We discuss a
range of issues at the intersection of rewriting and inference. How can other ...

Author: Peter Csaba Ölveczky

Publisher: Springer Science & Business Media

ISBN: 9783642163098

Category: Computers

Page: 264

View: 277


This volume contains the proceedings of the Eighth International Workshop on Rewriting Logic and its Applications (WRLA 2010) that was held in Paphos, Cyprus, March 20–21, 2010, as a satellite workshop of the European Joint C- ferences on Theory and Practice of Software (ETAPS 2010). Rewriting logic is a natural semantic framework for representing conc- rency,parallelism,communicationandinteraction,aswellasbeing anexpressive (meta)logical framework for representing logics. It can then be used for spe- fying a wide range of systems and programming languages in various appli- tion ?elds. In recent years, several executable speci?cation languages based on rewriting logic (ASF+SDF, CafeOBJ, ELAN, Maude) have been designed and implemented. The aim of the WRLA workshop series is to bring together - searchers with a common interest in rewriting logic and its applications, and to give them the opportunity to present their recent works, discuss future research directions, and exchange ideas. Previous WRLA workshops were held in Asilomar (1996), Pont-a-Mousson ` (1998), Kanazawa (2000), Pisa (2002), Barcelona (2004), Vienna (2006), and Budapest (2008), and their proceedings have been published inElectronic Notes in Theoretical Computer Science. In addition, selected papers from WRLA 1996 have been published in a special issue of Theoretical Computer Science,and selected papers from WRLA 2004 appeared in a special issue of Higher-Order and Symbolic Computation.

Functional Programming and Parallel Graph Rewriting

1 This part contains an overview of three important models of computation : -
calculus , term rewriting systems and graph rewriting systems . In three
consecutive chapters these models are compared with respect to their ability to
serve as the ...

Author: Marinus Jacobus Plasmeijer

Publisher: Addison Wesley Publishing Company

ISBN: UCSC:32106010851241

Category: Computers

Page: 571

View: 415


The descriptive power and semantic elegance of modern functional languages make it possible to develop correct programs relatively quickly. Efficient implementations of functional languages, employing graph rewriting techniques, have only recently become available. This book illustrates the techniques of functional programming in Miranda and Clean, and focuses on the computational model of Graph Rewriting Systems for both sequential and parallel machines. Highlights of the book include a clear tutorial guide to functional programming in Miranda and Clean, in-depth coverage of implementation on both sequential and parallel machines, and unique focus on Graph Rewriting Systems as a computational model. The book will be equally valuable for students taking courses in functional programming, and for programmers or systems designers who are keen to explore state-of-the-art programming and implementation techniques. The Concurrent Clean System, which is available from the authors, offers the opportunity to write both sequential and parallel applications (including window-based systems) in a pure, lazy functional language.

Improving Rewriting Through Direct Instruction

As conceptions of writing changed over the decades , so did conceptions of
rewriting change . Initially , when writing instruction research and practice
focused on the written product , rewriting was viewed as a “ final - stage ” activity
involving ...

Author: Paul Anthony Rooney




Page: 290

View: 112


Towards a Proof Theory of Rewriting

The aim of this work is to develop a proof theory for rewriting . Our analogy is this
: the elements ( terms , strings , etc. ) of a rewrite system correspond to the
propositions of a logic , and the rewrite relation t + s ( t rewrites in zero or more
steps to ...

Author: Barnaby P. Hilken


ISBN: UCSC:32106012164288

Category: Proof theory

Page: 28

View: 170


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 Modernity

... English Literary Museum , Grahamstown State Archives , Pretoria William
Cullen Library and University Archives , University of the Witwatersrand Rewriting
modernity : Studies in black South African literary history 228 • Rewriting

Author: David Attwell

Publisher: University of Natal Press

ISBN: UCSC:32106018587730

Category: History

Page: 236

View: 811


Rewriting Modernity: Studies in Black South African Literary History connects the black literary archive in South Africa - from the nineteenth-century writing of Tiyo Soga to Zakes Mda in the twenty-first century - to international postcolonial studies via the theory of transculturation, a position adapted from the Cuban anthropologist Fernando Ortiz. Attwell provides a welcome complication of the linear black literary history - literature as a reflection of the process of political emancipation - that is so often presented. He focuses on cultural transactions in a series of key moments, and argues that black writers in South Africa have used print culture to map themselves onto modernity as contemporary subjects, to negotiate, counteract, re-invent and recast their positioning within colonialism, apartheid and in the context of democracy.

Writing and Rewriting

How to Use Writing and Rewriting A. Starting to write Each author has his own
method of writing , and you , the student , should work out the one that makes you
feel most comfortable . But perhaps one of the best ways to begin - especially ...

Author: Janet R. Mayes


ISBN: IND:30000120157478

Category: Editing

Page: 410

View: 857


Rewriting Literary History

Tak-Wai Wong, M. Ackbar Abbas. » ! i I REWRITING LITERARY HISTORY //fiAf

Author: Tak-Wai Wong


ISBN: STANFORD:36105040918802

Category: Literature

Page: 347

View: 563


Rewriting Osun

Author: Jessica M. Alarcon

Publisher: Torkase Press

ISBN: IND:30000125312870

Category: Self-Help

Page: 183

View: 332


Known to practitioners and scholars as the Yoruba goddess of sweet (waters), sensuality, fertility and delight, Osun is a deity of great controversy. Nigerians see her as an astute, responsible mother of many children, yet across the ocean in the New World she has become a promiscuous, fun-loving deity who abandons her children and gives them to Yemaya to raise. Alarcns research analyzes the diverse representations of Osun (as a metaphor for women) found in trans-national Yoruba literature, specifically the verses of Odu Ifa (divination poetry) and Apataki (stories/legends), and examines the roles gender, race and sexuality have played in cultural interpretations of Osun and therefore on the journey of women throughout the diaspora. (Re)Writing Osun challenges us to move beyond the remnants of limited colonial interpretations of African spiritual practices and begin the process of (re)writing OsunS narrative. Book includes color photographs!

Termination of String Rewriting Rules that Have One Pair of Overlaps

REFERENCES 7 ( 1 ) N. DERSHOWITZ , Termination of linear rewriting systems ,
in Proc . 8th Int . Coll . Automata , Languages and Programming , LNCS 115 ,
Springer , 1981 , pp . 448-458 . [ 2 ] A. GESER , Decidability of termination of grid

Author: Alfons Geser


ISBN: NASA:31769000715105


Page: 11

View: 805


This paper presents a partial solution to the long standing open problem of termination of one-rule string rewriting. Overlaps between the two sides of the rule play a central rule in existing termination criteria. We characterize termination of all one-rule string rewriting systems that have one such overlap at either end. This both completes a result of Kurth and generalizes a result of Shikishima-Tsuji et al.

Writing and Rewriting

Books One and Two of A Complete Course in Freshman English Harry Shaw.

Author: Harry Shaw


ISBN: STANFORD:36105049205755

Category: English language

Page: 490

View: 163


Rewriting Your Family History

Why are women in certain families unable to keep their husbands? Why is divorce a mark of identification for some families? These are the concerns we have chosen to address in this book on principles of dealing with evil heritage

Author: Steve Ogan

Publisher: AuthorHouse

ISBN: 9781477251188

Category: Self-Help

Page: 108

View: 777


Most families have one negative heritage or another associated with them. Some have struggled with these evil foundations for centuries. Others have accepted persistent reproaches as their lot in life. Yet others, in an attempt to change the tides of calamities, have sought for solutions in places that compounded their situation. What do you do when you notice the scourge of premature death in your family? How do you explain the persistence of poverty in the midst of plenty? Why do some family members work like elephants and eat like ants? Why are women in certain families unable to keep their husbands? Why is divorce a mark of identification for some families? These are the concerns we have chosen to address in this book on principles of dealing with evil heritage