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computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.

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How to show that the set of universal sentences with infinite models is a decidable set?

I was looking for an example for a a non- complete set of formulas (not finite) that might be decidable and I found the following statement: Given a recursive language $L$ the set $\{ \phi \ | \ \phi …
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