Using the pure X-calculus, we can encode a pair of X-terms as where a term PAIR...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Using the pure X-calculus, we can encode a pair of X-terms as where a term PAIR takes three X-terms a, b, p and applies p to a and b. That is, we can define PAIR as (Xa b p. p a b). a) (1 pt) Based on this definition, we can encode function RIGHT as RIGHT = Ap. (p (At f. f)). Show that under such encoding, RIGHT (PAIR zy) evaluates to y. b) (1 pt) Try to define a function LEFT in A-calculus so that given a pair it returns the first term in the pair.For example, LEFT (PAIR ay) should evaluate to z under your encoding. c) (1pt) Try to define a function REPLACE in X-calculus so that given a pair, it "replaces" the second component with the first component in a pair. For example, REPLACE (PAIR z y) should evaluate to (PAIR z z) (or some equivalent term under a/B-reduction). I Using the pure X-calculus, we can encode a pair of X-terms as where a term PAIR takes three X-terms a, b, p and applies p to a and b. That is, we can define PAIR as (Xa b p. p a b). a) (1 pt) Based on this definition, we can encode function RIGHT as RIGHT = Ap. (p (At f. f)). Show that under such encoding, RIGHT (PAIR zy) evaluates to y. b) (1 pt) Try to define a function LEFT in A-calculus so that given a pair it returns the first term in the pair.For example, LEFT (PAIR ay) should evaluate to z under your encoding. c) (1pt) Try to define a function REPLACE in X-calculus so that given a pair, it "replaces" the second component with the first component in a pair. For example, REPLACE (PAIR z y) should evaluate to (PAIR z z) (or some equivalent term under a/B-reduction). I
Expert Answer:
Answer rating: 100% (QA)
Cryptography Known message passing Encryption prevents an ... View the full answer
Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
Posted Date:
Students also viewed these accounting questions
-
Using b = y x p and (23), show that (23**) (s) = (u p p') = r' r'' r''')/k2 (k > 0).
-
Given sets A, B, we define a partial function f with domain A and codomain B as a function from Af to B, where A' A. [Here f(x) is not defined for x A - A'.] For example, f : R* R, where f(x) =...
-
Given vectors A = x2 y3 z, B = x2 y z3, and C = x4 y2 z2, show that C is perpendicular to both A and B.
-
Write a method remove() that takes a linked-list Node and a string key as its arguments and removes every node in the list whose item field is equal to key.
-
Briefly describe the options and information provided by auditors when engaged to report on (a) Summary financial statements and (b) Supplementary information?
-
For the network shown in figure, find vo(t), t >0. e-2lu(t) V 1 F ww 2u(t) A vo(t) 1 H 1 0
-
What do you know about the mathematical value of a project's internal rate of return under each of the following conditions? a. The present worth of the project is greater than 0 . b. The present...
-
Dana La Fontsee opened Pro Window Washing Inc. on July 1, 2012. During July the following transactions were completed. July 1 Issued 12,000 shares of common stock for $12,000 cash. 1 Purchased used...
-
2. (24 Points) Find out the number of real roots of the cubic equation 23-6x+1=0. Justify your answer.
-
Case: Replacement Decisions Falconville Pump Company, Inc. Brandon Joiner, president and chief executive officer of Falconville Pump Company, Inc., has a potentially serious problem on his hands. The...
-
Intervention Mappings strength lies in its focus on one phase of the planning process. Which phase does it emphasize? How that is phasing different in Intervention Mapping than in other models?
-
You are in charge of forecasting revenue for the government. Assume the government is going to increase the tax rate. What type of taxpayer is likely to respond to this tax rate increase by working...
-
How can evaluative frameworks and outcome metrics be utilized to assess the impact of empowerment initiatives, including measures of individual well-being, social capital, collective efficacy, and...
-
What role does cultural competence and intersectionality play in empowerment interventions, recognizing the unique identities, experiences, and systemic barriers faced by marginalized and...
-
What role does team reflexivity play in fostering effective team-building processes, including mechanisms for continuous reflection, adaptation, and learning, to enhance team dynamics and...
-
What role does transformative leadership play in empowering followers, fostering a shared vision, promoting self-efficacy, and creating a supportive environment that encourages innovation,...
-
Suppose the country of Mitagardion is currently running a budget surplus. The size of the budget surplus is $22000, where $19000 of that is due to automatic stabilizers like taxes and spending....
-
An item of depreciable machinery was acquired on 1 July 2009 for $120,000 by cash It is expected to have a useful life of 10 years and zero salvage value On 1 July 2012, it was decided to revalue the...
-
A five-year follow-up study was carried out to assess the relationship of diet and weight to the incidence of stomach cancer in 40- to 50-year-old males in a certain metropolitan area. Let K- denote...
-
An experiment to evaluate the effects of certain variables on soil erosion was performed on 10-foot-square plots of sloped farmland subjected to 2 inches of artificial rain applied over a 20-minute...
-
A psychosociological questionnaire was administered to a random sample of 200 persons on an island in the South Pacific that has become increasingly westernized over the past 30 years. From the...
-
Use the Akaike information or Schwartz criteria to select variables for a predictive model.
-
Identify influential observations in a multiple regression model.
-
Explain what is meant by (a) an omitted variable and (b) an irrelevant variable. Explain the consequences of omitted and irrelevant variables for the properties of the least squares estimator.
Study smarter with the SolutionInn App