An Higher-Order Characterization of Probabilistic Polynomial Time (Long Version)

Ugo Dal Lago; Paolo Parisen Toldin

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arXiv · 1202.3317

An Higher-Order Characterization of Probabilistic Polynomial Time (Long Version)

Ugo Dal Lago·Paolo Parisen Toldin

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Abstract

We present RSLR, an implicit higher-order characterization of the class PP of those problems which can be decided in probabilistic polynomial time with error probability smaller than 1/2. Analogously, a (less implicit) characterization of the class BPP can be obtained. RSLR is an extension of Hofmann's SLR with a probabilistic primitive, which enjoys basic properties such as subject reduction and confluence. Polynomial time soundness of RSLR is obtained by syntactical means, as opposed to the standard literature on SLR-derived systems, which use semantics in an essential way.

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Ugo Dal Lago, Paolo Parisen Toldin. 2012-02-15. An Higher-Order Characterization of Probabilistic Polynomial Time (Long Version). https://arxiv.org/abs/1202.3317

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