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GATE CSE & IT · Set Theory & Logic · 2005-2026
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Rosen — Discrete Mathematics and Its Applications
Discrete structures, counting, relations, graph theory
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All concepts →For two different persons $x$ and $y$, the predicate $M(x, y)$ denotes that $x$ knows $y$. Consider the following statement. There is a person who does not know anyone else, but th...
Consider the statement "Not all that glitters is gold" Predicate glitters$$(x)$$ is true if $$x$$ glitters and predicate gold$$(x)$$ is true if $$x$$ is gold. Which one of the foll...
What is the correct translation of the following statement into mathematical logic? "Some real numbers are rational"
Which one of the following is the most appropriate logical formula to represent the statement: "$$Gold\,and\,silver\,ornaments\,are\,precious$$" The following notations are used: $...
Let fsa and $$pda$$ be two predicates such that fsa$$(x)$$ means $$x$$ is a finite state automation, and pda$$(y)$$ means that $$y$$ is a pushdown automation. Let $$equivalent$$ be...
What is the first order predicate calculus statement equivalent to the following? Every teacher is liked by some student