Abstract. We show that the structures of binding algebras and Σ-monoids by Fiore, Plotkin and Turi are sound and complete models of Klop's Combinatory Reduction ...
Restricting the algebraic structures to the ones equipped with well- founded relations, we obtain a complete characterisation of terminating. CRSs. We can also ...
Restricting the algebraic structures to the ones equipped with well-founded relations, we obtain a complete characterisation of terminating CRSs. We can also ...
Restricting the algebraic structures to the ones equipped with well-founded relations, we obtain a complete characterisation of terminating CRSs. We can also ...
Theorem [Lankford'79, Zantema'94]. A TRS R is terminating if and only if there exists a well-founded monotone (Σ, R)-algebra. (“ordered” Σ-algebra (A; > ...
TL;DR: This work systematically defines the labelling and shows that labelled systems give termination models in the frame-work of Fiore, Plotkin and Turi's ...
5.1 Higher-order Monotone Algebras for Termination Proofs . ... shop on Higher-Order Algebra, Logic and Term Rewriting, Paderborn,. Germany ...
These algebraic structures play the same role of universal algebra for term rewriting systems. Restricting the algebraic structures to the ones equipped ...
We study higher-order rewrite systems (HRSs) which extend term rewriting to λ-terms. HRSs can describe computations over terms with bound variables.
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Feb 20, 2018 · We provide a general and modular criterion for the termination of simply-typed λ-calculus extended with function symbols defined by ...