Ensuring Logic in the Fog: Sound POMDP Synthesis with LTL Objectives

ArXi:2605.12581v1 Announce Type: cross Synthesising autonomous agents that can navigate uncertain environments while adhering to complex temporal constraints remains a fundamental challenge. While Linear Temporal Logic (LTL) provides a rigorous language for specifying such tasks, the inherent undecidability of qualitatively verifying LTL satisfaction in partially observable Marko decision processes renders quantitative synthesis difficult, especially when designing reliable reward signals for approximate solvers.