Higher-Order Algebra, Logic, and Term Rewriting First International Workshop, Hoa "93, Amsterdam, the Netherlands September 23-24, 1993 Selected Pa (Lecture Notes in Computer Science) by Jan Heering

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ContributionsTobias Nipkow (Editor)
The Physical Object
Number of Pages351
ID Numbers
Open LibraryOL7447560M
ISBN 100387582339
ISBN 109780387582337

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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 The 15 full papers in this volume are devoted to the algebra and model theory of higher-order languages, computational logic techniques including resolution and term rewriting, and specification and verification case studies; in total they provide a competently written overview of current research and suggest new research directions in this.

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 The 14 research papers included, together with an.

Higher-order algebra, logic, and term rewriting: second international workshop, HOA '95, Paderborn, Germany, Septemberselected papers /. Get this from a library. Higher-order algebra, logic, and term rewriting: second international workshop, HOA '95, Paderborn, Germany, Septemberselected papers.

[Gilles Dowek;] -- "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 ' Higher Order Algebra Logic and Term Rewriting Book Summary: 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 The 14 research papers included, together with an invited paper by Jan Willem Klop.

from book Higher-Order Algebra, Logic, and Term Rewriting, First International Workshop, HOA '93, Amsterdam, The Netherlands, September, Selected Papers Termination Proofs for Higher. van de Pol, J. () Termination proofs for higher-order rewrite systems.

In Proceedings of the 1st International Workshop on Higher-Order Algebra, Logic and Term Rewriting, Lecture Notes in Computer Science, vol. from book Higher-Order Algebra, Logic, and Term Rewriting, Second International Workshop, HOA '95, Paderborn, Germany, September, Selected Papers. This volume contains the final revised versions of the best papers presented at the First International Workshop on Higher-Order Algebra, Logic, and Term Rewriting (HOA '93), held in Amsterdam in September Higher-Order methods are increasingly applied in functional and logic programming Price: $   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.

Book Author Submissions; Subscriptions. Journal Subscription A Proof of Finite Family Developments for Higher-Order Rewriting Using a Prefix Property. Term Rewriting and Applications, Approximation and normalization results for typeable term rewriting systems.

Higher-Order Algebra, Logic, and Term Rewriting, Obua S Checking conservativity of overloaded definitions in higher-order logic Proceedings of and Term Rewriting book 17th international conference on Term Rewriting and Applications, () Wang Y and Sakai M Decidability of termination for semi-constructor TRSs, left-linear shallow TRSs and related systems Proceedings of the 17th international and Term Rewriting book on.

to Higher Order Calegorical Logic, Cambridge Here is another triple of unlikely bedfellows: on the one side, the theory of Cartesian closed categories, on the other side, the lambda calculus of Alonzo Church, and, beaming in the middle, the abstract theory of computer programming.

COVID campus closures: see options for getting or retaining Remote Access to subscribed content. This textbook offers a unified, self-contained introduction to the field of term rewriting. Baader and Nipkow cover all the basic material--abstract reduction systems, termination, confluence, completion, and combination problems--but also some important and closely connected subjects: universal algebra, unification theory, Gröbner bases, and Buchberger's algorithm.

Simply typed term rewriting proposed by Yamada (RTA, ) is a framework of higher-order term rewriting without bound variables. In this paper, the dependency pair method of first-order term rewriting introduced by Arts and Giesl (TCS, ) is.

Higher algebra, a sequel to elementary algebra for schools. This book is intended as a sequel to our Elementary Algebra for Schools. The first few chapters are devoted to a fuller discussion of Ratio, Proportion, Variation, and the Progressions, and then introduced theorems with examples. Higher-Order Algebra, Logic, and Term Rewriting: First International Workshop, HOA'93 Amsterdam, The Netherlands, September 23–24, Selected Papers Springer-Verlag Berlin Heidelberg Andrea Asperti, Cosimo Laneve (auth.), Jan Heering, Karl Meinke, Bernhard Möller, Tobias Nipkow (eds.).

ISBN: OCLC Number: Notes: "Proceedings of the Sixth International Conference on Algebra and Logic Programming (ALP '97) and the Third International Workshop on Higher-Order Algebra, Logic, and Term Rewriting (HOA '97), held in Southampton (Great Britain) during September"--Galley pref.

Higher-Order Algebra, Logic, and Term Rewriting 1st edition Selected Papers of the Second International Workshop, Hoa '95, Paderborn, Germany, SeptemberHigher-Order Algebra, Logic, and Term Rewriting: First International Workshop, Hoa '93, Amsterdam, the Netherlands SeptemberSelected Pa (Lecture Notes in.

Recall that higher-order logic is just one among several variants of set theory [Davis ]. Like other variants of set theory, it can be expressed in first-order logic. When we express higher-order logic as a first-order theory, the term language is a first-order term language and thus, as opposed to λ-calculus it contains no binding operator.

() Categorical semantics for higher order polymorphic lambda calculus. Journal of Symbolic Logic() Convex powerdomains I. Information and. Kahrs, Stefan () The variable containment problem. In: Dowek, Gilles and Heering, Jan and Meinke, Karl and Möller, Bernhard, eds. Higher-Order Algebra, Logic, and Term Rewriting Second International e Notes in Computer Science.

Springer, Berlin, Germany, pp. ISBN E-ISBN   Discover Book Depository's huge selection of Gilles Dowek books online. Free delivery worldwide on over 20 million titles. Higher-Order Algebra, Logic, and Term Rewriting. Gilles Dowek.

01 Jun Paperback. US$ Add to basket. Automated Reasoning. Higher-Order Algebra, Logic, and Term Rewriting. Gilles Dowek. 01 May   First-order and higher-order theories are presented, with much of the latter material appearing for the first time in book form.

Subjects treated include orthogonality, termination, lambda calculus and term graph rewriting. There is also a chapter detailing the. We generalise the termination method of higher-order polynomial interpretations to a setting with impredicative polymorphism.

Instead of using weakly monotonic functionals, we interpret terms in a suitable extension of System Fω. This enables a direct interpretation of rewrite rules which make essential use of impredicative polymorphism. In addition, our generalisation eases the applicability.

HIGHER-ORDER LOGIC for their own sake, and countable models of set theory are at the base of the inde-pendence proofs: first-order logic’s loss thus can often be the mathematician’s or philosopher’s gain. Extensions When some reasonable notionfalls outsidethe scope of first-orderlogic, one rather.

Third-order matching in the polymorphic lambda calculus, Higher-Order Algebra, Logic, and Term Rewriting, Lecture Notes in Computer Science(Springer, Berlin, ) Kristian Støvring. Higher-order beta matching with solutions in long beta-eta normal form, Nordic Journal of Computing, v n.1, p, June Sergei Vorobyov.

This textbook offers a unified and self-contained introduction to the field of term rewriting. It covers all the basic material (abstract reduction systems, termination, confluence, completion, and combination problems), but also some important and closely connected subjects: universal algebra, unification theory, Grobner bases and Buchberger's algorithm.

The main algorithms are presented both. In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger -order logics with their standard semantics are more expressive, but their model-theoretic properties are less well-behaved than those of first-order logic.

The term "higher-order logic", abbreviated as HOL. 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 s: 1. A number of higher order term rewriting systems proposed recently rely on simplified lambda-term unification algorithms, implementing fragments of equality theories for lambda-terms. Our approach provides both a way to implement such schemes, and an alternative equality theory when the fragment required is limited (as is often the case).

The Wikipedia page on higher-order logic defines it as follows: Higher-order logic is the union of first- second- third-,nth-order logic; i.e., higher-order logic admits quantification over sets that are nested arbitrarily deeply.

So this is worded vaguely. Taken at face value, it says that higher-order logic is the union of all logics. The OCaml Journal just published an article describing term rewriting: "An interesting and powerful alternative to the conventional term-level interpreter is called term rewriting.

Rather than reducing expressions down to values, term rewriting simply evaluates expressions by performing substitutions and the result is another expression. High School Algebra 2 Curriculum. Below are the skills needed, with links to resources to help with that skill.

We also enourage plenty of exercises and book work. Set theory. Total order and partial order, a binary relation generalizing the usual ordering of numbers and of words in a dictionary; Ordered set; Order in Ramsey theory, uniform structures in consequence to critical set cardinality; Algebra.

Order (group theory), the cardinality of a group or period of an element Order of a polynomial (disambiguation) Order of a square matrix, its dimension. Logic Colloquium Series: Lecture Notes in Logic (Association for Symbolic Logic), Cambridge University Press pp.

Joerg Endrullis, Herman Geuvers and Hans Zantema, Degrees of Undecidability in Term Rewriting, In Proc. Conf. on Computer Science Logic (CSL '09), E.

Grädel and R. Kahle (Eds.), LNCSpp.Springer, The term “higher-order logic” is often a source of confusion and so it is relevant to explain the sense in which it is used here. There are at least three different readings for this term: 3. Philosophers of mathematics usually divide logic into first-order logic and second-order logic.

OBJ3/Algebra Bibliography. Papers included herein are on many topics related to the OBJ family of systems, (hidden) (many) order-sorted algebras, category theory, and more. Fer-Jan de Vries Interests.

In brief, my research interests lie in the wider area of theory and semantics of computation, language and logic. Computation: We work on theory and applications of term rewriting systems and lambda calculi. A chapter summarising the basis of our current work has appeared in the book "Term Rewriting Systems"."OBJ" refers to the language family, while "OBJ2," "OBJ3", "CafeOBJ," "BOBJ," etc.

refer to particular members of the family. The OBJ languages are broad spectrum algebraic programming and specification languages, based on order sorted equational logic, possibly enriched with other logics (such as rewriting logic, hidden equational logic, or first order logic), and providing the powerful.Equations and rewrite rules: A survey, in “Formal Language Theory: Perspectives and Open Problems”(R.

Book, Ed.) G Huet, DC Oppen Academic Press, San Diego,

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