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Relating Two Semantics of Locally Scoped Names Lösch, Steffen Pitts, Andrew M. local names continuations typed lambda-calculus observational equivalence The operational semantics of programming constructs involving locally scoped names typically makes use of stateful "dynamic allocation": a set of currently-used names forms part of the state and upon entering a scope the set is augmented by a new name bound to the scoped identifier. More abstractly, one can see this as a transformation of local scopes by expanding them outward to an implicit top-level. By contrast, in a neglected paper from 1994, Odersky gave a stateless lambda calculus with locally scoped names whose dynamics contracts scopes inward. The properties of "Odersky-style" local names are quite different from dynamically allocated ones and it has not been clear, until now, what is the expressive power of Odersky's notion. We show that in fact it provides a direct semantics of locally scoped names from which the more familiar dynamic allocation semantics can be obtained by continuation-passing style (CPS) translation. More precisely, we show that there is a CPS translation of typed lambda calculus with dynamically allocated names (the Pitts-Stark nu-calculus) into Odersky's lambda-nu-calculus which is computationally adequate with respect to observational equivalence in the two calculi. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Steffen Lösch and Andrew M. Pitts 2011 Is Part Of LIPIcs, Volume 12, Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL (2011) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CSL.2011.396 urn:nbn:de:0030-drops-32454 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2011.396 eng https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode