Almost Sure Productivity [article]

Alejandro Aguirre, Gilles Barthe, Justin Hsu, Alexandra Silva
2018 arXiv   pre-print
We define Almost Sure Productivity (ASP), a probabilistic generalization of the productivity condition for coinductively defined structures. Intuitively, a probabilistic coinductive stream or tree is ASP if it produces infinitely many outputs with probability 1. Formally, we define almost sure productivity using a final coalgebra semantics of programs inspired from Kerstan and K\"onig. Then, we introduce a core language for probabilistic streams and trees, and provide two approaches to verify
more » ... P: a sufficient syntactic criterion, and a reduction to model-checking pCTL* formulas on probabilistic pushdown automata. The reduction shows that ASP is decidable for our core language.
arXiv:1802.06283v2 fatcat:74hnlnccdbfn5hm27nfr2scfxe