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#first-order-logic

Expressive Power of Deep Homomorphism Networks over Relational Databases

arXiv cs.AI · 2026-05-25 Cached

This paper explores the expressive power of Deep Homomorphism Networks (DHNs) for learning over relational databases, linking them to fragments of first-order logic and SQL, and analyzing static analysis problems like emptiness and subsumption.

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#first-order-logic

On the Size Complexity and Decidability of First-Order Progression

arXiv cs.AI · 2026-05-14 Cached

This paper analyzes the size complexity and decidability of first-order progression in the Situation Calculus, showing that for local-effect, normal, and acyclic actions, progression grows polynomially and remains within decidable fragments such as two-variable first-order logic.

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