Published in Volume XXIV, Issue 2, 2014, pages 177-216, doi: 10.7561/SACS.2014.2.177

Authors: U. Dal Lago, S. Zuppiroli, M. Gabbrielli


We show that probabilistic computable functions, i.e., those func- tions 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 a polytime sampleable distribution, a key concept in average-case complexity and cryptography.

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  title={Probabilistic Recursion Theory and Implicit Computational Complexity},
  author={U. Dal Lago and S. Zuppiroli and M. Gabbrielli},
  journal={Scientific Annals of Computer Science},
  organization={``A.I. Cuza'' University, Iasi, Romania},
  publisher={``A.I. Cuza'' University Press}