Let Show that MODEXP P. (Note that the most obvious algorithm doesnt run in polynomial time.

Question:

Let

MODEXP = {(a, b, c, p)| a, b, c, and p are positive binary integers such that a =c (mod p)}.

Show that MODEXP ∈ P. (Note that the most obvious algorithm doesn’t run in polynomial time. Try it first where b is a power of 2.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to the theory of computation

ISBN: 978-0470530658

3rd edition

Authors: Michael Sipser

See More Books

Question Posted: Sep 02, 2020 04:56 AM

See More Questions

A permutation on the set {1, . . . , k} is a one-to-one, onto function on this set. When p is a permutation, p t means the composition of p with itself t times. Let Show that PERM-POWER P. Note that...
Suppose that someone gives you a polynomial-time algorithm to decide formula satisfiability. Describe how to use this algorithm to find satisfying assignments in polynomial time.
Shifty sells that note to Honest Abe for $22,000. Does Duncan have to pay Abe?
In the late 1980s, various states and the US Congress debated placing limits on sulfur emissions to reduce the impact of acid rain. Utilities that generated electricity using coal-powered plants felt...
The population in Section 7.8, Exercise 39, where per capita production is a random variable with p.d.f. g(x) = 5.0 for 1.0 x 1.2. Use the normal approximation to test the above hypotheses about...
The mind creates and controls mental capacities such as perception, attention, and memory, and creates representations of the world that enable us to function. LO1
Find the proportion of 1s, and make the majority prediction for each value of x, similarly to that in Table 25.4.
One end of a 0.3 m long steel rod is connected to a wall at 204?C. The other end is connected to a wall which is maintained at 93?C. Air is blown across the rod so that a heat transfer coefficient of...
Crane Limited has signed a lease agreement with Lantus Corp. to lease equipment with an expected lifespan of eight years, no estimated salvage value, and a cost to Lantus, the lessor of $193,000. The...
Analyze the following data by using a multiple regression computer software package to predict y using x1 and x2. Notice that x2 is a dummy variable. Discuss the output from the regression analysis;...
Call graphs G and H isomorphic if the nodes of G may be reordered so that it is identical to H. Let ISO = {G,H| G and H are isomorphic graphs}. Show that ISO NP.
Show that P is closed under the star operation. Use dynamic programming. On input y = y 1 y n for y i , build a table indicating for each i j whether the substring y i y j A * for any A P.)
Should ICANNs actions be judged under the rule of reason or be deemed a per se violation of Section 1 of the Sherman Act? The Internet Corporation for Assigned Names and Numbers (ICANN) is a...
What is the difference between corporate and clinical? How do they differ? Can they both have the same outcome? Include a reference list that supports your stance of no fewer than 3 scholarly...
How do we attain the desire for the freedom to purse one's passions, the desire for economic security and well-being, the desire for hope and progress in one's life utilizing higher-order thinking
Instructions FNCE 625 - Investment Analysis and Management Group Project - Case Study Guideline Introduction: In this group assignment, each team will collaboratively make a comprehensive report and...
21) The EOQ model is solved using calculus but the key intuition is that relevant total costs are minimized when relevant ordering costs equal relevant carrying costs. 22) Safety stock is used as a...
In the long-term, what do you recommend as overall policy in order to reduce or avoid the kinds of PPE shortages that occurred during the different waves of the COVID virus? In simple terms, how...
Given the following single-precision floating point binary number: a. Convert the number to hexadecimal notation b. Convert the number to decimal 10000110 11110010100000000000000
Calculate the electrical conductivity of a fiber-reinforced polyethylene part that is reinforced with 20 vol % of continuous, aligned nickel fibers.
Assuming even parity, find the parity bit for each of the following data units. a. 1001011 b. 0001100 c. 1000000 d. 1110111
In CRC, which of the following generators (divisors) guarantees the detection of an odd number of errors? a. 10111 b. 101101 c. 111
Referring to the CRC-8 in Table 5.4, answer the following questions: a. Does it detect a single error? Defend your answer. b. Does it detect a burst error of size 6? Defend your answer. c. What is...
Yard Professionals Incorporated experienced the following events in Year 1, its first year of operation: Performed services for $31,000 cash. Purchased $7,800 of supplies on account. A physical count...
This question is from case # 24 of book Gapenski's Cases in Healthcare Finance, Sixth Edition Select five financial and five operating Key Performance Indicators (KPIs) to be presented at future...
assume that we have only two following risk assets (stock 1&2) in the market. stock 1 - E(r) = 20%, std 20% stock 2- E(r) = 10%, std 20% the correlation coefficient between stock 1 and 2 is 0. and...

Let Show that MODEXP P. (Note that the most obvious algorithm doesnt run in polynomial time.

Question:

MODEXP = {(a, b, c, p)| a, b, c, and p are positive binary integers such that a =c (mod p)}.

Step by Step Answer:

MODEXP a b c p a b c and p are positive binary integers such that a c mod p To show that MODEXP is i...View the full answer

Introduction to the theory of computation

Students also viewed these Computer science questions