English

Dynamic Probability Logic: Decidability & Computability

Logic in Computer Science 2024-06-25 v1 Logic

Abstract

In this article, the decidability and computability issues of dynamic probability logic (DPL) are addressed. Firstly, a proof system HDPL\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.

Keywords

Cite

@article{arxiv.2406.16720,
  title  = {Dynamic Probability Logic: Decidability & Computability},
  author = {Somayeh Chopoghloo and Mahdi Heidarpoor and Massoud Pourmahdian},
  journal= {arXiv preprint arXiv:2406.16720},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2401.07235