An Higher-Order Characterization of Probabilistic Polynomial Time (Long Version)
Logic in Computer Science
2012-02-16 v1 Computational Complexity
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.
Cite
@article{arxiv.1202.3317,
title = {An Higher-Order Characterization of Probabilistic Polynomial Time (Long Version)},
author = {Ugo Dal Lago and Paolo Parisen Toldin},
journal= {arXiv preprint arXiv:1202.3317},
year = {2012}
}
Comments
32 pages