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Short Note on Rice theorem.
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| written 9.4 years ago by |
Let C be a set of languages. Consider the language $L_c$ defined as follows
$L_c = {{M} | L {M} ∈ C}.$
Then either $L_c$ is empty, or it contains the descriptions of all Turing machines, or it is undecidable.
Proof:
Suppose towards a contradiction that for same class C …