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Which components make up the signature (vocabulary) of a... | QuestionStock

Representative image for question: Which components make up the signature (vocabulary) of a first-order language?

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Logic

Which components make up the signature (vocabulary) of a first-order language?

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Which components make up the signature (vocabulary) of a first-order language?

Options:

Only logical connectives and quantifiers
Predicate symbols with arities, function symbols with arities, and constant symbols
All interpretations (models) of the language
Only the set of variables and equality symbol

Correct answer: Predicate symbols with arities, function symbols with arities, and constant symbols

Explanation: A signature lists nonlogical symbols and their arities, e.g. {f/2, P/1, c}. Mechanism: it specifies available predicate, function and constant symbols and their arities.

Created 2026-03-10T18:48:30.266Z. Updated 2026-03-10T18:48:30.266Z.