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1) β -reduction
(a) Underline the free variables in the term: (λy x. x y) (a. a x )
(b) β-reduce that term to its normal form.
2) Simply Typed -Calculus
(a) Write down the (most general) type of the following term: (λx. x ) (λy. y)
(b) Give a pen-and-paper proof of your answer to (a).
(c) For the term (λx. x ) (λy: y), write down the type of the following sub-term: (λx. x ) — that is, the type that the sub-term has within the larger term.
You are developing the requirements for an online shopping system. To place an order, a user connects to the system, searches to find items to purchase, selects one or more items, and supplies credit card information to pay for them.
write a program that generates 5 RANDOM numbers between 60 and 100 and calculates the smallest of the five numbers import java.util.Random; public class RandomNumbers
Assume you have created a class named Dog that contains a data fi eld named weight and an instance method named setWeight(). Further assume the setWeight() method is public and accepts a numeric parameter named pounds
Give an example of an Array and how it could be used
The binary sequence s = 111111111000000111111111111111100001 = 1^9,0^6,1^16,0^4,1 was generated by a stationary two-state Markov chain with transition probabilities p1|0 = 2p0|1 = 0.2. a Shannon-Fano-Elias code or an arithmetic code for 3-bit symb..
You can view the process of making changes as recursive. You first see if any dollars are required, subtract them from the total, and then make change for what remains. Complete the LISP program to achieve the above requirements.
When rain is forecast, Mr. Pickwick takes his umbrella. When rain is not forecast, he takes it with probability 1/3. Find the probability that Pickwick has no umbrella, given that it rains.
Write a method firstLast that could be added to the LinkedIntList class that moves the first element of the list to the back end of the list. Suppose a LinkedIntList variable named list stores the following elements from front (left) to back (right)
Explain how speech recognition works in detail. Explain the electronics and mathematical models used
Assume the processor scans keyboard every 100 ms. How many times will keyboard be checked in the 8-hour period?
How do the unique relationship between human service organizations and the populations they serve impact ethical decisions?
Discuss why or why not a string and an array of ints are serializable
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