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First, the question is asked on the given formula Φ. If the answer is "no", the formula is unsatisfiable. Otherwise, the question is asked on the partly instantiated formula Φ{x 1 =TRUE}, that is, Φ with the first variable x 1 replaced by TRUE, and simplified accordingly. If the answer is "yes", then x 1 =TRUE, otherwise x 1 =FALSE. Values ...
A decision problem is a yes-or-no question on an infinite set of inputs. It is traditional to define the decision problem as the set of possible inputs together with the set of inputs for which the answer is yes. [1] These inputs can be natural numbers, but can also be values of some other kind, like binary strings or strings over some other ...
By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced using logical rules and axioms, so the Entscheidungsproblem can also be viewed as asking for an algorithm to decide whether a given statement is provable using the rules of logic.
In linguistics, a yes–no question, also known as a binary question, a polar question, or a general question, [1] is a question whose expected answer is one of two choices, one that provides an affirmative answer to the question versus one that provides a negative answer to the question.
They are questions that are often asked to obtain a specific answer and are therefore good for testing knowledge. It is often argued that open-ended questions (i.e. questions that elicit more than a yes/no answers) are preferable because they open up discussion and enquiry. Peter Worley argues that this is a false assumption.
The connection between these two is that if a decision problem is undecidable (in the recursion theoretical sense) then there is no consistent, effective formal system which proves for every question A in the problem either "the answer to A is yes" or "the answer to A is no".
SPOILERS BELOW—do not scroll any further if you don't want the answer revealed. The New York Times Today's Wordle Answer for #1255 on Monday, November 25, 2024
In linguistics, an echo answer or echo response is a way of answering a polar question without using words for yes and no. The verb used in the question is simply echoed in the answer, negated if the answer has a negative truth-value . [ 1 ]
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