We apply the semantic tool of non-deterministic matrices to characterize two important properties of canonical Gentzen-type calculi: invertibility of rules and axiom expansion. We ...
We consider Sturmian trees as a natural generalization of Sturmian words. A Sturmian tree is a tree having n+1 distinct subtrees of height n for each n. As for the case of words, S...
Jean Berstel, Luc Boasson, Olivier Carton, Isabell...
Abstract. We show that the structures of binding algebras and Σmonoids by Fiore, Plotkin and Turi are sound and complete models of Klop’s Combinatory Reduction Systems (CRSs). T...
We introduce a temporal logic for the speci cation of real-time systems. Our logic, TPTL, employs a novel quanti er construct for referencing time: the freeze quanti er binds a var...
Abstract. We prove a conjecture by A. Pnueli and strengthen it showing a sequence of "counting modalities" none of which is expressible in the temporal logic generated by...