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Chapter 6: Q10P (page 270)

Give a model of the sentence

蠁It=鈭�鈭赌X,Y[R1(x,x)]鈭�鈭赌x.y[R1(x,y)鈫�(R1(y,x)]鈭�鈭赌x,y,z[(R1(x,y)鈭�R1(y,z))鈫�R1(x,z)]

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Answer:

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Step by step solution

01

Turing Machine

A Turing Machine is computational model concept that runs on the unrestricted grammar of Type-zero. It accepts recursive enumerable language. It comprises of an infinite tape length where read and write operation can be perform accordingly.

02

proof.

The statement 蠁eqgives the three conditions of an equivalence relation.

WE can assume a model of the form ( A,R1)

Here, A will be a universal set and R1 will be the equivalence relation on the element p鈭�A.

This is correct model over 蠁eq

For an example, if A is set of all integers Z and R1= {(i,j): i,j鈭�Z}

Here, i and j can be equal or not. So, 蠁eqwill be satisfied by (A,R1)..

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Most popular questions from this chapter

Show that for any ,c some strings xand y exist, whereK(xy)>K(x)+K(y)+c

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