Exercise c. Ask the oracle. (Textbook problem 4.1) Suppose that we have access to an oracle who can answer the decision problem CNF-SAT. Show that, by asking her a polynomial number of questions, we can find a satisfying assignment if one exists. Hint: first describe how setting a variable gives a smaller CNF-SAT formula on the remaining variables. An "oracle" is a subroutine you can call that answers the question (in this case, whether the given CNF formula is satisfiable), but that costs no time to call.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Exercise c. Ask the oracle. (Textbook problem 4.1)
Suppose that we have access to an oracle who can answer the decision problem CNF-SAT.
Show that, by asking her a polynomial number of questions, we can find a satisfying
assignment if one exists. Hint: first describe how setting a variable gives a smaller
CNF-SAT formula on the remaining variables.
An "oracle" is a subroutine you can call that answers the question (in this case, whether the given
CNF formula is satisfiable), but that costs no time to call.
Transcribed Image Text:Exercise c. Ask the oracle. (Textbook problem 4.1) Suppose that we have access to an oracle who can answer the decision problem CNF-SAT. Show that, by asking her a polynomial number of questions, we can find a satisfying assignment if one exists. Hint: first describe how setting a variable gives a smaller CNF-SAT formula on the remaining variables. An "oracle" is a subroutine you can call that answers the question (in this case, whether the given CNF formula is satisfiable), but that costs no time to call.
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