Normalization via Rewrite Closures

Termination of Non-simple Rewrite Systems by Charles

Rewriting is a computational process in which one term is derived from another by replacing a subterm with another subterm in accordance with a set of rules. If such a set of rules rewrite system has the property that no derivation can continue indeenitely, it is said to be terminating. Showing termination is an important component of theorem proving and of great interest in programming languag...

Termination of Non-simple Rewrite Systems

Rewriting is a computational process in which one term is derived from another by replacing a subterm with another subterm in accordance with a set of rules. If such a set of rules (rewrite system) has the property that no derivation can continue indefinitely, it is said to be terminating. Showing termination is an important component of theorem proving and of great interest in programming lang...

Rewrite Closures for Ground and Can ellative AC Theories

On Modularity in Term Rewriting and Narrowing

We introduce a modular property of equational proofs called modularity of normalization for the union of term rewrite systems with shared symbols The idea is that every normalization with R R R may be obtained by rst normalizing with R followed by an R normalization We develop criteria for this that cover non convergent TRS R where as the main restriction R is required to be left linear and con...

(Head-) Normalization of Typeable Rewrite Systems

In this paper we study normalization properties of rewrite systems that are typeable using intersection types with and with sorts. We prove two normalization properties of typeable systems. On one hand, for all systems that satisfy a variant of the Jouannaud-Okada Recursion Scheme, every term typeable with a type that is not is head normalizable. On the other hand, non-Curryfied terms that are ...