Probabilistic Recursion Theory and Implicit Computational Complexity (Long Version)

Ugo Dal Lago; Sara Zuppiroli

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arXiv · 1406.3378

Probabilistic Recursion Theory and Implicit Computational Complexity (Long Version)

Ugo Dal Lago·Sara Zuppiroli

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Abstract

We show that probabilistic computable functions, i.e., those functions outputting distributions and computed by probabilistic Turing machines, can be characterized by a natural generalization of Church and Kleene's partial recursive functions. The obtained algebra, following Leivant, can be restricted so as to capture the notion of polytime sampleable distributions, a key concept in average-case complexity and cryptography.

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Ugo Dal Lago, Sara Zuppiroli. 2014-06-25. Probabilistic Recursion Theory and Implicit Computational Complexity (Long Version). https://arxiv.org/abs/1406.3378

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