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Equational Reasoning and Term Rewriting Systems


Equational Reasoning and Term Rewriting Systems - CiteSeerX

We will also discuss systems in which the equations may have conditions attached. Next we will consider the use of equational reasoning in general theorem ...

Equational Reasoning and Term Rewriting Systems

Furthermore, systems for mechanizing such proofs on a computer are becoming more and more powerful. In addition, a functional program is ...

Equational reasoning and term rewriting systems - ACM Digital Library

Contents. Handbook of logic in artificial intelligence and logic programming (vol. 1). Equational reasoning and term rewriting systems. Pages 274 - 364 ...

Equational Reasoning and Term Rewriting Systems - Intranet

An {\em equational system\/} is a set of equations. Often we are interested in knowing if an equation follows logically from the given set.

Term Rewriting | CS294-260

Equational reasoning is a powerful technique in programming languages and many other domains. In essence, you have a set of equations and you ...

Term Rewriting • Lecture 3: Combinatory Logic

Equational Reasoning. Definition. An equational system (ES) is pair (Σ, E) consisting of. • Σ signature. • E set of equations between terms in T (Σ, X). Example.

Rewriting Home Page

Equational reasoning is an important component in symbolic algebra, automated deduction, high-level programming languages, program verification, and ...

Equational Logic and Rewriting - ScienceDirect.com

Rewriting and/for Equality in Theorem Proving ... Reasoning about equality has been one of the most challenging problems in automated deduction. In the past fifty ...

Term Rewriting Systems

Here one is concerned, given an equational speci cation, to construct a TRS which is both con uent and terminat- ing and which proves the same equations as the ...

Reasoning by Rewriting

♢ Introduction to the theory of term rewriting systems. (TRS), which gives a ... ♢ CafeOBJ system uses only equations satisfying the variable ...

Implementations of term rewriting systems - LIX

Two main applications are the equational reasoning in theorem provers and equational computation in programming languages. In equational logic, ...

Type Introduction for Equational Rewriting∗ - Computational Logic

Term rewriting is an important method for equational reasoning. In term rewriting the axioms of the equational system under consideration are used in one ...

Equational logic and rewriting - Hal-Inria

Equational reasoning and term rewriting systems. In D. Gabbay,. C. Hogger, J. A. Robinson, and J. Siekmann, editors, Handbook of Logic in.

Term Rewriting Systems - an overview | ScienceDirect Topics

The induced rewrite relation on terms is the reflexive transitive closure of —From a logical point of view, the deduction rules are similar to equational logic ...

Implementations of Term Rewriting Systems - Oxford Academic

Two main applications are the equational reasoning in theorem provers and equational com- putation in programming languages. In equational logic, rewriting is a ...

A Taste of Rewrite Systems

Reasoning with equations involves deriving consequences of given equations and finding values for variables that satisfy a given equation. Rewriting is a very ...

REWRITE SYSTEMS MINI-COURSE

Equational reasoning is important in artificial intelligence, automated deduction, symbolic algebra, program verification, and high-level programming languages.

Logic Mentoring Workshop - FLoC Rewriting systems and applications

Term Rewriting, Higher-order Rewriting, Graph Rewriting. There are several ... terminating rewrite system, then equational reasoning can be mechanised.

ON THE ALGEBRAIC APPROACH TO CONCURRENT TERM ...

[Klo91] J.W. Klop, Term Rewriting Systems, to appear in Handbook of Logic in Com- ... Lafont, Equational Reasoning with 2-dimensional Diagrams in Term Rewrit-.

Automata as term rewriting systems

It came to my mind that automata (say to start DFA) can be thought as a special kind of rewriting systems. So if one has a word w , one tries to ...