We establish an approximate zero-one law for sentences of continuous logic over finite metric spaces diameter at most $1$. More precisely, we axiomatize a complete theory $T_{\mathrm{as}}$ such that, given any sentence $\sigma$ in the language pure and $\epsilon>0$, probability that difference value random space size $n$ model is less than $\epsilon$ approaches $1$ as infinity. also some model-...

Abstract Multiple-environment MDPs (MEMDPs) capture finite sets of that share the states but differ in transition dynamics. These models form a proper subclass partially observable (POMDPs). We consider synthesis policies robustly satisfy an almost-sure reachability property MEMDPs, is, one policy satisfies for all environments. For POMDPs, deciding existence robust is EXPTIME-complete problem....