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Theory of computation proofs I am having difficulties with…

Theory of computation proofs

I am having difficulties with the following types of proofs in Theory of Computation:

•Proofs that L(G) = L (proving that a grammar generates exactly a given language).

•Proofs by closure properties, especially when proving that a language is closed under regular expression operations.

•Proving language equalities such as |L|\^n = |L\^n| and similar identities involving concatenation and other language operations.

I find it challenging to structure these proofs formally and to justify each step rigorously.

And i ve been searching for these kind of proofs to be solve but even AI wont assist correctly

I would appreciate it if somebody has additional materials about these proofs and any advice on solving these?
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