Question: Suppose that A is a set whose characteristic function is primitive recursive. Show that A is computable.

Suppose that A is a set whose characteristic function is primitive recursive. Show that A is computable.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Q:

Show function is primitive recursive, P(x,t) is a primitive recursive predicate. 4. Let P(x, t) be a computable predicate, Show f(x, y) be the maximum value of t y such that P(x, t) -1. If no such t

Q:

Show function is primitive recursive 4. Let P(x, t) be a computable predicate, Show f(x, y) be the maximum value of t- y such that P(x,t) = 1. If no such t-y exists with P(x, t) = 1, then f(x,y-0....

Q:

[35] Show that there exists an infinite binary sequence which is not random in the sense of Martin-Lof with respect to any computable measure. Comments. Source: [A.K. Zvonkin and L.A. Levin, Russ....

Q:

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

Q:

hen we contrive an assumption that the existence of primitive recursive functions pair N 2 N, fst N N and snd N N satisfying for all x, y N fst(pair (x, y)) = x snd(pair (x, y)) = y prove by...

Q:

Four. Let u(n) be the nth wide variety so as of length that is the sum of squares. Show that u(n) is primitive recursive. 5. Let R(x, t) be a primitive recursive predicate. Let g(x,y) =max R(x,t),...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...

Q:

"There is a growing interdependence between a firm's ability to use information technology and its ability to implement corporate strategies and achieve corporate goals." "To fully understand...

Q:

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

Q:

Amber City borrowed $1,000,000 secured by a 5-year mortgage note. The cash from the note was used to purchase a building for vehicle and equipment maintenance. Show how these two transactions should...

Q:

On its recent financial statements, Hassell Fine Foods reported the following information about net sales revenue and accounts receivable (amounts in thousands): According to its Form 10-K, Hassell...

Q:

Why might a government choose to use supply-side policies?

Q:

A company granted 1,000 stock options to employees on January 1, with an exercise price of $20 per share. The fair value of the options on the grant date is $5 per option. Calculate the stock options...