Let be a Godel universal function (a) Show that for any computable function there is a total computable function such that for all m, n, x (b) Let be a set of pairs (k,n) such that a function is an extension of a function on the domain of Show that is decidable U(n, I )

The Answer is in the image, click to view ...

Question: Let ? be a Godel universal function. (a) Show that for any computable function there is a total computable function ? such that for all

Let Let ? be a Godel universal function. (a) Show ? be a Godel universal function.

(a) Show that for any computable function Let ? be a Godel universal function. (a) Show there is a total computable function ? such that for all m, n, x.

(b) Let Let ? be a Godel universal function. (a) Show that for any be a set of pairs (k,n) such that a function ? is an extension of a function on the domain of ?. Show that ? is decidable.

U(n, I )

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 Databases Questions!

Show that any computable function (specified by its number with respect to a fixed Godel universal function), one can effectively find infinitely many natural numbers each of which is either a fixed...

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Let B be a subset of Nm, m > 1. We say that B is r.e. if B = {(x1 , ... , xm) E Nm I g(xto ... , xm)H for some partially computable function g(x1 , ??? , xm). Let Show that B' is r.e. if and only if...

[23] Let 1, 2,... be the effective enumeration of partial computable functions in Section 1.7. Define the uniform complexity of a finite string x of length n with respect to (occurring in the above...

3 ,,uoh "gram 3 Eww 3 m T mm H a 3 .2 ' m w .,.m.av>v 3. m. @3on we geonwoaoa mm H "with M'nr H E. wads + we A at. ES 0 3.8V WEE 3563 mo wow 23 E m \"9H .3 avgmeMm\" mnemagouom Aggy\"...

Let FIN = {M | L(M) is finite), and recall HP = {M#w | M halts on w} FIN, where HP is the complement of the halting problem. That is, show there exists a computable function f such that M#ue HP iff...

[25] (a) Show that if we recode data x by its shortest program x, then this can change the structure functions. (b) Let f be a computable permutation of the set of strings (one-to-one, total, and...

(10 pts) Let P(x) be a computable predicate. Show that the function f defined by: f(x1,x2)={x1+x2ifP(x1+x2) otherwise } is partially computable. (10) Let be a computable permutation (i.e. one-one...

please solve the problem. Thank you. 6. (a) For every number k0, let fk be the constant function fk(x)= k. Show that for every k,fk is computable. (b) Let us call an S program a straightline program...

Suppose S N is recursively enumerable but not computable. Let f : N - > N \ cup { } be a ( partial ) computable function such that n in S if and only if f ( n ) = ( i . e . , f terminates on input n...

Want a brief typing Pollution due to urbanization?

Kamen Manufacturing Co. estimates the following labor and over- head costs for the period: Variable overhead . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 44,200 Fixed...

We need to begin embracing differences by exploring our own in relation to equality and diversity. Choose only Ont best answer. History Attitude Age Education

Building a kayak using the composite method is a very labor-intensive process. In the Fabrication Department, the kayaks go through several steps as employees carefully place layers of Kevlar in a...