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arXiv · 2605.21113

On the Complexity of Entailment for Cumulative Propositional Dependence Logics

Kai Sauerwald·Juha Kontinen·Arne Meier
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Abstract

This paper establishes and proves complexity results for entailment for cumulative propositional dependence logic and for cumulative propositional logic with team semantics. As recently shown, cumulative logics are famously characterised by System~C and exactly captured by the cumulative models of Kraus, Lehmann and Magidor. This gives rise to the entailment problem via relational models, which is specifically considered here.

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Kai Sauerwald, Juha Kontinen, Arne Meier. 2026-05-20. On the Complexity of Entailment for Cumulative Propositional Dependence Logics. https://arxiv.org/abs/2605.21113

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