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1
Recognizability in the Simply Typed Lambda-Calculus
Salvati, Sylvain
In: 16th Workshop on Logic, Language, Information and Computation ; https://hal.inria.fr/inria-00412654 ; 16th Workshop on Logic, Language, Information and Computation, 2009, Tokyo, Japan (2009)
Abstract:
International audience ; We define a notion of recognizable sets of simply typed λ-terms 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.
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[INFO.INFO-CL]Computer Science [cs]/Computation and Language [cs.CL]
;
ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.3: Formal Languages/F.4.3.1: Classes defined by grammars or automata (e.g.
;
context-free languages
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recursive sets)
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regular sets
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https://hal.inria.fr/inria-00412654
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