Higher-Order Recursion Schemes and Collapsible Pushdown Automata: Logical Properties
Résumé
This paper studies the logical properties of a very general class of infinite ranked trees, namely those generated by higher-order recursion schemes. We consider three main problems -- model-checking, logical refection (aka global model-checking) and selection -- for both monadic second-order logic and modal mu-calculus and prove that they can be effectively answered positively. For that, we rely on the known connexion between higher-order recursion schemes and collapsible pushdown automata and on previous work regarding parity games played on transition graphs of collapsible pushdown automata.
Origine | Fichiers produits par l'(les) auteur(s) |
---|