Consider the expression t andisin; instructor andand; andexist;s andisin; department (t [dept_name] = s [dept_name]) the variables t and s are _____ respectively.a)Free variable and bound variableb)Bound variable and free variablec)Free variable and free variabled)Bound variable and bound variableCorrect answer is option 'A'. Can you explain this answer? - EduRev Computer Science Engineering (CSE) Question

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Consider the expression t ∈ instructor ∧ ∃ s ∈ department (t [dept_name] = s [dept_name]) the variables t and s are _____ respectively.

a)
Free variable and bound variable
b)
Bound variable and free variable
c)
Free variable and free variable
d)
Bound variable and bound variable

Correct answer is option 'A'. Can you explain this answer?

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Consider the expression t ∈ instructor ∧ ∃s ∈ depa...

Concept:
In tuple relational calculus, there exists two quantifiers, namely universal quantifier and existential quantifier. For these, there are two types of variables: free variable and bound variable.

A tuple variable t is bound if it is quantified, meaning that it appears in existential or universal quantifier clause, otherwise it is free. Formally, tuple variable is free or bound as :
An occurrence of a tuple variable in a formula F that is an atom is free in F.
An occurrence of a tuple variable t is free or bound in a formula made up of logical connectives – (F1 AND F2), (F1 OR F2), NOT(F1) and NOT(F2)- depending on whether it is free or bound in F1 or F2. In a formula of the form F = (F1 AND F2) or F = (F1 OR F2), a tuple variable may be free in F1 and bound in F2 or vice versa.
All free occurrences of a tuple variable t in F are bound in F’ of form F’ = (∃ t) F or F’ = (for all t)F

Here, given expression is :
t ϵ instructor ∧ ∃ s ∈ department (t [dept_name] = s [dept_name])
According to above rules:
t is the free variable and s is the bound variable.

Answered by Gate Gurus · View profile

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Consider the expression t ∈ instructor ∧ ∃s ∈ department (t [dept_name] = s [dept_name]) the variables t and s are _____ respectively.a)Free variable and bound variableb)Bound variable and free variablec)Free variable and free variabled)Bound variable and bound variableCorrect answer is option 'A'. Can you explain this answer?

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Consider the expression t ∈ instructor ∧ ∃s ∈ department (t [dept_name] = s [dept_name]) the variables t and s are _____ respectively.a)Free variable and bound variableb)Bound variable and free variablec)Free variable and free variabled)Bound variable and bound variableCorrect answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the expression t ∈ instructor ∧ ∃s ∈ department (t [dept_name] = s [dept_name]) the variables t and s are _____ respectively.a)Free variable and bound variableb)Bound variable and free variablec)Free variable and free variabled)Bound variable and bound variableCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the expression t ∈ instructor ∧ ∃s ∈ department (t [dept_name] = s [dept_name]) the variables t and s are _____ respectively.a)Free variable and bound variableb)Bound variable and free variablec)Free variable and free variabled)Bound variable and bound variableCorrect answer is option 'A'. Can you explain this answer?.

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