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arxivcs.AIcs.LOcs.PL2026-07-23

How Rules Represent Causal Knowledge: Causal Modeling with Probabilistic Logic Programming

Kilian Rueckschloss, Felix Weitkaemper

Pearl famously argues that causal knowledge enables the prediction of intervention effects. By contrast, purely descriptive knowledge supports only conclusions drawn from observations. His theory of causality, however, is developed exclusively within Bayesian networks and causal models. Consequently, it is largely restricted to acyclic causal relationships, and transferring its ideas to other formalisms risks misinterpretation or inconsistency. This paper brings Pearl's approach to causality into probabilistic logic programming (PLP). To this end, such programs are aligned with philosophical foundations established in prior work that do not rely on temporal notions; that is, all relevant events are assumed to occur simultaneously. A formal causal semantics for these programs, together with a notion of intervention and an implementation, is proposed. It is shown that this semantics coincides with the P-log semantics for stratified ProbLog programs, while the two may differ in the non-stratified case and for other PLP formalisms.

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arxivcs.AIcs.LOcs.PL2026-07-23

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Motivated by challenging modelling issues in the life sciences, we investigate the relationship between logic programming semantics and the eventual states of causal processes compatible with those logic programs. More precisely, we show that while stable models of positive logic…

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A cubical formalisation of topos causal models: intervention, sheaf gluing, and the intuitionistic do-calculus

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arxivcs.AIcs.LO2026-07-23

Differentiable Logic Programming to Mitigate Reasoning Shortcuts in Neurosymbolic Systems

Akihiro Takemura, Katsumi Inoue

Neurosymbolic (NeSy) systems integrate neural networks with logical reasoning to achieve both generalization and interpretability, but recent work has shown they are susceptible to shortcut reasoning behaviors. We propose a novel method using matrix-based differentiable logic pro…

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