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Chapter 0: Q9E (page 27)

Write a formal description of the following graph.

Short Answer

Expert verified

The formal description of the graph is:

{{1,2,3,4,5,6},{(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}}

Step by step solution

01

Describe the parts of the formal description of the graph

A graph G can be defined as the collection of finite vertices and edges.

The set of finite vertices V are {1,2,3,4,5,6}.

The set of finite edges are {(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}.

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Most popular questions from this chapter

LetΣ={a,b} . For each k⩾1, let Ckbe the language consisting of all strings that contain an a exactly K places from the right-hand end.

ThusCk=Σ*aΣk-1 . Describe an NFA with k+1states that recognizes Ckin terms of both a state diagram and a formal description.

Use the result of Problem 6.21 to give a function f that is computable with an oracle for ATM, where for each n,f(n) is an incompressible string of length n.

Give an example in the spirit of the recursion theorem of a program in a real programming language (or a reasonable approximation thereof) that prints itself out.

Let

A/B={w|wx∈aAforsomex∈B}Show that ifAis context free andBis regular, thenA/Bis context free

Let G1 be the following grammar that we introduced in Example

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R→S|T

S→aSb|ab

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