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Questions about which problems are semi-decidable, also known as computably enumerable, Turing recognizable or recursively enumerable.
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Some questions regarding decidability and semi-decidability of $A/B = \{ w \text{ | }\exists...
I have found two interesting questions regarding the quotient of languages, described as:
$A/B = \{ w \text{ | }\exists z \in B, wz \in A\}$
The first one is:
Let $A$ and $B$ be regular languages, pr …
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Understanding the union of an undecidable language with a finite or decidable language
I'm trying to prove that the language $L \cup A$ is undecidable, when the language $L$ is undecidable and the language $A$ is finite or decidable.
This is confusing me because if $L$ were to be a semi …