Dynamic Probability Logic: Decidability & Computability

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...

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Hauptverfasser: Chopoghloo, Somayeh, Heidarpoor, Mahdi, Pourmahdian, Massoud
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2406.16720