Probabilistic Epistemic Dynamic Agentive Logic

Shay Allen Logan

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arXiv · 2604.22042

Probabilistic Epistemic Dynamic Agentive Logic

Shay Allen Logan

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Abstract

I introduce PEDAL -- a probabilistic epistemic logic meant to capture, in propositional dynamic terms, the epistemic state of an agent engaged in checking whether a program meets its specification. Semantically, PEDAL is built `on top of' PDL and uses probability measures defined on the set of possible program valuations of an otherwise-specified PDL-model. A Hilbert system with one infinitary rule is provided and proved to be sound and complete. Near the end, I discuss possible ways to circumvent infinitary proof difficulties.

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Shay Allen Logan. 2026-04-23. Probabilistic Epistemic Dynamic Agentive Logic. https://arxiv.org/abs/2604.22042

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