Abstract
We develop approximate counting of sets definable by Boolean circuits in bounded arithmetic using the dual weak pigeonhole principle (dWPHP(PV)), as a generalization of results from [15]. We discuss applications to formalization of randomized complexity classes (such as BPP, APP, MA, AM) in PV1 + dWPHP(PV).
Citation
Emil Jeřábek. "Approximate counting in bounded arithmetic." J. Symbolic Logic 72 (3) 959 - 993, September 2007. https://doi.org/10.2178/jsl/1191333850
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