Standardization and Böhm trees for Λμ-calculus
نویسنده
چکیده
Λμ-calculus is an extension of Parigot's λμ-calculus which (i) satis es Separation theorem: it is Böhm-complete, (ii) corresponds to CBN delimited control and (iii) is provided with a stream interpretation. In the present paper, we study solvability and investigate Böhm trees for Λμ-calculus. Moreover, we make clear the connections between Λμcalculus and in nitary λ-calculi. After establishing a standardization theorem for Λμ-calculus, we characterize sovalbility in Λμ-calculus. Then, we study in nite Λμ-Böhm trees, which are Böhm-like trees for Λμ-calculus; this allows to strengthen the separation results that we established previously for Λμ-calculus and to shed a new light on the failure of separation in Parigot's original λμ-calculus. Our construction clari es Λμ-calculus both as an in nitary calculus and as a core language for dealing with streams as primitive objects.
منابع مشابه
Why the usual candidates of reducibility do not work for the symmetric λμ-calculus
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