Title
Tractability frontiers in probabilistic team semantics and existential second-order logic over the reals
Abstract
Probabilistic team semantics is a framework for logical analysis of probabilistic dependencies. Our focus is on the complexity and expressivity of probabilistic inclusion logic and its extensions. We identify a natural fragment of existential second-order logic with additive real arithmetic that captures exactly the expressivity of probabilistic inclusion logic. We furthermore relate these formalisms to linear programming, and doing so obtain PTIME data complexity for the logics. Moreover, on finite structures, we show that the full existential second-order logic with additive real arithmetic can only express NP properties.
Year
DOI
Venue
2021
10.1007/978-3-030-75775-5_18
JELIA
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Miika Hannula16610.10
Jonni Virtema27911.93