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In this paper a proof system is developed for plan verification problems$\{X\}c\{Y\}$ and $\{X\}c\{KW p\}$ under 0-approximation semantics for${\mathcal A}_K$. Here, for a plan $c$, two sets $X,Y$ of fluent literals, anda literal $p$, $\{X\}c\{Y\}$ (resp. $\{X\}c\{KW p\}$) means that all literalsof $Y$ become true (resp. $p$ becomes known) after executing $c$ in any initialstate in which all literals in $X$ are true.Then, soundness and completenessare proved. The proof system allows verifying plans and generating plans aswell.

Proof System for Plan Verification under 0-Approximation Semantics