Dynamic Probability Logic: Decidability & Computability

Somayeh Chopoghloo; Mahdi Heidarpoor; Massoud Pourmahdian

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arXiv · 2406.16720

Dynamic Probability Logic: Decidability & Computability

Somayeh Chopoghloo·Mahdi Heidarpoor·Massoud Pourmahdian

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Abstract

In this article, the decidability and computability issues of dynamic probability logic (DPL) are addressed. Firstly, a proof system $\mathcal{H}_{DPL}$ is introduced for DPL and shown that it is weakly complete. Furthermore, this logic has the finite model property and so is decidable. Secondly, a strongly complete proof system HDPL is presented for DPL and proved that its canonical model is a computable structure.

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Somayeh Chopoghloo, Mahdi Heidarpoor, Massoud Pourmahdian. 2024-06-24. Dynamic Probability Logic: Decidability & Computability. https://arxiv.org/abs/2406.16720

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