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A program logic for fresh name generation

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arxiv 2101.10720 v2 pith:TO7OFDCJ submitted 2021-01-26 cs.LO cs.PL

classification cs.LOcs.PL
keywords generationlogicnamescalculusfreshprogramabstractioncall-by-value
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a program logic for Pitts and Stark's {\nu}-calculus, an extension of the call-by-value simply-typed {\lambda}-calculus with a mechanism for the generation of fresh names. Names can be compared for (in)-equality, producing programs with subtle observable properties. Hidden names produced by interactions between generation and abstraction are captured logically with a second-order quantifier over type contexts. We illustrate usage of the logic through reasoning about well-known difficult cases from the literature.

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