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Dynamic Probability Logic: Decidability & Computability

Published 24 Jun 2024 in cs.LO and math.LO | (2406.16720v1)

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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