I'm aware that there is a question already about prefixes and decidability but it didn't really help me. I'm given a language L that consists of the strings $R(M)1^n$ such that execution of the Turing machine M with empty input string $\epsilon$ terminates within n steps. I need to prove that the Prefix language $L' = \{w \in \Sigma^* | \exists u \in \Sigma^*:wu\in L\}$ is not decidable. I've tried to reduce it to the halting problem or look for a property that lets me use Rice's theorem but I was unable to reach anything meaningful, what am I missing?
2026-02-23 04:55:03.1771822503
Proving prefix language of a given language is not decidable
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