Re: Why could the DFA constructed in most compiler books recognize all the prefixes of a CFL?

Venkatesha Murthy <venkatesha.murthy@windriver.com>
4 Oct 2003 14:46:10 -0400

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From: Venkatesha Murthy <venkatesha.murthy@windriver.com>
Newsgroups: comp.compilers
Date: 4 Oct 2003 14:46:10 -0400
Organization: Wind River Systems Inc.
References: 03-09-126
Keywords: parse, theory
Posted-Date: 04 Oct 2003 14:46:10 EDT

If I remember right, this is a result due to Knuth. I don't have the
reference handy, but Hopcroft and Ullman's book "Introduction to
Automata Theory, Formal Languages and Computation" should have it.


Venkatesh




Tim Carmack wrote:


> I have read many textbooks on compiling theory and all of them
> teach me how to construct a DFA to recognize all viable prefixes
> of a CFL but without strict proof concerning why all these prefixes
> constitute a regualr language and the DFA constructed could recognize
> this regular language. ...


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