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Universal Semantics for the Stochastic Lambda-Calculus

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arxiv 2011.13171 v2 pith:DW7EBQOK submitted 2020-11-26 cs.LO

Universal Semantics for the Stochastic Lambda-Calculus

classification cs.LO
keywords denotationaloperationalsemanticsstochasticadequacyadequateadmitapproaches
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We define sound and adequate denotational and operational semantics for the stochastic lambda calculus. These two semantic approaches build on previous work that used similar techniques to reason about higher-order probabilistic programs, but for the first time admit an adequacy theorem relating the operational and denotational views. This resolves the main issue left open in (Bacci et al. 2018).

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