First order logic (FOL) is called `first order’ because
A. FOL does not allow quantification over predicate symbols or function symbols.
B. Predicates are first-order relations.
C. FOL comes first in the logics involving quantifiers.
D. Propositional logic is zero-order
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Answer:
‘First-order logic is called first-order because FOL which comes ‘first’ in the “logics involving quantifiers”.
Explanation:
- This is because FOL contains variables, function symbols and predicate symbols but allows quantifying only the variables that are elements of the domain.
- Function or relation symbols cannot be quantified using First-order logic.
- First-Order logic is a system of symbolized reasoning where “each sentence or statement” that is broken into the ‘subject and a predicate’.
- In a FOL, a predicate represents only a single subject and is called a “first-order predicate calculus” or functional calculus.
- FOL is used to create computer programs especially using Artificial Intelligence.
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