… direct sum of two disjoint term rewriting systems may be nonterminating even if every single
system is terminating. … and Enno Ohlebusch for valuable comments on a draft of this paper. …

… Proving termination of a term rewriting system (TRS) R consists in proving that every term …
is used and if P ∪R is not left-linear then narrowing is also permitted on variable subterms. …

… criteria for modularity of termination to the case of conditional term rewriting systems (CTRSs). …
Termination for the direct sum of left-linear term rewriting systems. In N. Dershowitz, editor, …

… A rule is linear if it is both leftlinear and right-linear. A rule is non-… convergent term rewrite
system. In Proc. of ISSAC’89. … On termination of the direct sum of term-rewriting systems. …

… strategies and termination in first-order term rewriting. At first … with term rewrite systems (TRSs
for short) that admit infinite … of left-linear inverse finite path overlapping rewrite systems and …

… For a complete, ie, con uent and terminating term rewriting system (TRS) … A left-linear TRS
R is called orthogonal if it is non-… on draft versions of [7] on which the present paper is partially …

… rewrite systems such as confluence and termination can be proved in a modular way.
Finally, we stress the links between rewriting … orthogonal if it is both left-linear and non-overlapping. …

… properties of Term Rewriting Systems concerns the property of … → is modular for leftlinear
Term Rewriting Systems. The novel “… the modularity of termination for left-linear and consistent …

… Frequently, we will relate the issues to termination analysis in Term Rewriting. This comparison
is useful since the topic has received a great deal of attention in this field (see, eg, [56]). …

… For left-linear term rewriting systems R, we can reduce this problem to language inclusion
L(… If R is a left-linear rewrite system, then the set of ground terms containing redex occurrences …