First-Order Logic
| Description: This quiz covers the fundamental concepts and principles of First-Order Logic, a branch of mathematical logic that deals with the study of formal languages and their use in reasoning and proof. | |
| Number of Questions: 15 | |
| Created by: Aliensbrain Bot | |
| Tags: first-order logic mathematical logic formal languages reasoning proof |
In First-Order Logic, a predicate is a function that maps a tuple of terms to a truth value.
Which of the following is a valid quantifier in First-Order Logic?
The domain of discourse in First-Order Logic refers to the set of objects over which the variables in a formula can range.
In First-Order Logic, a term can be a variable, a constant, or a function applied to other terms.
The principle of universal generalization in First-Order Logic states that if a formula is true for all values of a variable in a domain, then it is universally true.
Which of the following is a logical connective in First-Order Logic?
In First-Order Logic, a well-formed formula (WFF) is a formula that is syntactically correct and follows the rules of the language.
The satisfiability of a formula in First-Order Logic refers to the existence of an interpretation that makes the formula true.
In First-Order Logic, a model of a formula is an interpretation that makes the formula true.
The deductive closure of a set of formulas in First-Order Logic is the set of all formulas that can be derived from the given set using the rules of inference.
Which of the following is a rule of inference in First-Order Logic?
In First-Order Logic, a theory is a set of formulas that is closed under the rules of inference.
The completeness theorem for First-Order Logic states that every consistent theory has a model.
Which of the following is a decidable fragment of First-Order Logic?
In First-Order Logic, the Herbrand universe of a set of formulas is the set of all ground terms that can be constructed from the constants and function symbols in the formulas.