Recent questions tagged goclasses_wq10

3 3 votes
1 1 answer
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Assume the following predicate and constant symbols.$W(x,y) :\; x$ wrote $y$$L(x,y) :\; x$ is longer than $y$$h :$ Hardy$a :$ Austen$j :$ Jude the Obscure$p :$ Pride and ...
2 2 votes
1 1 answer
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Let $[N, \leq ]$ is a partial order relation defined on natural numbers, where “$\leq$” is the “less than equal to” relation defined on $N = \{ 0,1,2,3,\dots \}.$ Which o...
2 2 votes
1 1 answer
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Let the universe for all quantified variables be the set of all novels. Assume the following predicates and constant symbols:$W(x,y) :\; x$ wrote novel $y$$L(x,y) : \;x$ ...
3 3 votes
1 1 answer
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Working with a unary predicate symbol, $P,$ a binary predicate symbol $Q$ and a unary function symbol $f,$ consider the following interpretation $M,$ given by,Universe $A...
4 4 votes
1 1 answer
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Recall that a "sentence/proposition" is a predicate logic formula that has no free variables.In predicate logic, a set of sentences is satisfiable iff there is some inter...
3 3 votes
1 1 answer
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Let $R$ be a relation from a set $A$ to a set $B.$ The inverse relation from $B$ to $A,$ denoted by $R^{-1}$ , is the set of ordered pairs $\{(b,a) \mid (a,b) \in R\}$ .$...
4 4 votes
1 1 answer
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For any integers $x,y,$ we say that $x$ divides $y$ iff there is some integer $z$ such that $y = x\ast z.$Let $[N, \leq]$ is a partial order relation defined on natural n...
4 4 votes
2 answers 2 answers
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Consider the following sentences :$[R, | ]$ is poset. Where $R$ is the set of all real numbers and $|$ is the divisibility relation i.e. for any $a,b$ in $R, a|b$ iff the...
4 4 votes
1 1 answer
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Suppose $A$ is a finite set of five elements. Then the cardinality of the largest partial order relation possible on $A$ is _______
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