In the present article, the quantifiers over propositions are first introduced into the language for reasoning about probability, then the complexity issues for ...

May 30, 2024 · We study hierarchies of validity problems for prefix fragments in probability logic with quantifiers over propositional formulas, denoted $\ ...

This page is a summary of: Complexity for probability logic with quantifiers over propositions , Journal of Logic and Computation, September 2012, ...

Following [15], consider the expansion QPL ― e of L poly obtained by adding quantifiers over propositional formulas—these may be thought of as countable ...

Apr 19, 2018 · Our goal in this handout is to add probability notions to pre-existing, non-probabilistic formal logics, while preserving their technical ...

Nov 23, 2019 · You have asked about using the term 'probably' in this post. Yes, you can use any word at all in a proposition if it's meaningful.

Mar 7, 2013 · Logic and probability theory are two of the main tools in the formal study of reasoning, and have been fruitfully applied in areas as diverse as philosophy.

Nov 15, 2015 · The general rule is that the "last quantifier" in natural language becomes the innermost quantifier in formal language.

Sep 1, 2020 · Yes, the language of propositional calculus does contain a set of propositions. It just isn't the same set of propositions as the language of propositional ...

Jul 26, 2023 · For example, the complexity of deciding quantified propositional formulas is known to match the appropriate level of the polynomial hierarchy ( ...