Question: Let L be any language over sigma = {0,1}, and let L be the set of all strings that have all their prefixes in L,

Let L be any language over sigma = {0,1}, and let

Let L be any language over sigma = {0,1}, and let L be the set of all strings that have all their prefixes in L, i.e., L = {x | y z (if x = yz then y L)}. You may use (without proof) the fact that there are infinite nonregular languages over a 1-letter alphabet. Prove or disprove: L regular rightarrow L regular. Prove or disprove: L regular rightarrow L regular

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