Recognizability in the Simply Typed Lambda-Calculus

Abstract. We define a notion of recognizable sets of simply typed λterms that extends the notion of recognizable sets of strings or trees. This definition is based on finite models. Using intersection types, we generalize the notions of automata for strings and trees so as to grasp recognizability for λ-terms. We then expose the closure properties of this notion and present some of its applications.

• Type: Conference
• Year: 2009
• Where: WOLLIC
• Authors: Sylvain Salvati
• Keywords: Applied Computing, Intersection Types, Recognizable Sets, WOLLIC 2009, finite Models