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CSR
2009
Springer
16 years 1 months ago
Canonical Calculi: Invertibility, Axiom Expansion and (Non)-determinism
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 ...
Arnon Avron, Agata Ciabattoni, Anna Zamansky
STACS
2007
Springer
16 years 22 days ago
A First Investigation of Sturmian Trees
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...
RTA
2005
Springer
16 years 3 days ago
Universal Algebra for Termination of Higher-Order Rewriting
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...
Makoto Hamana
FOCS
1989
IEEE
15 years 10 months ago
A Really Temporal Logic
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...
Rajeev Alur, Thomas A. Henzinger
CSR
2006
Springer
15 years 10 months ago
Expressiveness of Metric Modalities for Continuous Time
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...
Yoram Hirshfeld, Alexander Moshe Rabinovich