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If a set S is countable, then P(S) i.e 2^S is uncountable.
There is some mistake in question. Consider the relations r(A, B) and s(B, C), where s.B is a primary key and r.B is a foreign key referencing s.B. Consider the query Q: râ‹ˆ(σB<5(s)) Let LOJ denote the natural left outer-join operation. Assume that r and s contain no null values. Which one of the following is NOT equivalent to Q? (A) σB<5(r â‹ˆ s) (B) σB<5(r LOJ s) (C) r LOJ (σB<5(s)) (D) σB<5(r)LOJ s
Consider the following languages.
Which of these languages is/are regular?
How come L4 is regular?????????. Please explain. A Turing machine case be used to recognize it with infinite tape.
Https://gateoverflow.in/39721/gate2016-1-44
Let's interpret the problem this way : ∀ are always True and ∃ are always False for empty sets. So there exists at least one model with universe of size 3 (or less than). Therefore, option (A) is necessarily TRUE.