Convert chomsky normal form into binary form, Theory of Computation

Assignment Help:

Suppose G = (N, Σ, P, S) is a reduced grammar (we can certainly reduce G if we haven't already). Our algorithm is as follows:

1. Define maxrhs(G) to be the maximum length of the right hand side of  any  production.

2. While maxrhs 3 we convert G to an equivalent reduced grammar G' with smaller maxrhs.

3. a) Choose a production A → α where is of maximal length in G.

b) Rewrite α as α1α2 where |α1| = |α1|/2 (largest integer ≤ |α1|/2) and  |α2| = |α2|/2 (smallest integer ≥ |α2|/2)

c) Replace A -> α in P by A  -> α1B and B -> α2

If we repeat step 3 for all productions of maximal length we create a grammar G' all of whose productions are of smaller length than maxrhs.

We can then apply the algorithm to G' and continue until we reach a grammar that has maxrhs ≤ 2.


Related Discussions:- Convert chomsky normal form into binary form

Discrete math, Find the Regular Grammar for the following Regular Expressio...

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

Powerset construction, As de?ned the powerset construction builds a DFA wit...

As de?ned the powerset construction builds a DFA with many states that can never be reached from Q′ 0 . Since they cannot be reached from Q′ 0 there is no path from Q′ 0 to a sta

Myhill-nerode theorem, This close relationship between the SL2 languages an...

This close relationship between the SL2 languages and the recognizable languages lets us use some of what we know about SL 2 to discover properties of the recognizable languages.

Answer, And what this money. Invovle who it involves and the fact of,how we...

And what this money. Invovle who it involves and the fact of,how we got itself identified candidate and not withstanding time date location. That shouts me media And answers who''v

Graph Connectivity, Let G be a graph with n > 2 vertices with (n2 - 3n + 4)...

Let G be a graph with n > 2 vertices with (n2 - 3n + 4)/2 edges. Prove that G is connected.

Agents architecture, Describe the architecture of interface agency

Describe the architecture of interface agency

Automata, As we are primarily concerned with questions of what is and what ...

As we are primarily concerned with questions of what is and what is not computable relative to some particular model of computation, we will usually base our explorations of langua

Tuning machine, design a tuning machine for penidrome

design a tuning machine for penidrome

Design and implementation of the state machine, You are required to design ...

You are required to design a system that controls the speed of a fan's rotation. The speed at which the fan rotates is determined by the ambient temperature, i.e. as the temperatur

Operator p, implementation of operator precedence grammer

implementation of operator precedence grammer

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd