Re: NFA and negation/conjunction

Stefan Monnier <monnier@iro.umontreal.ca>
Sat, 15 May 2010 14:32:00 -0400

          From comp.compilers

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| List of all articles for this month |
From: Stefan Monnier <monnier@iro.umontreal.ca>
Newsgroups: comp.compilers
Date: Sat, 15 May 2010 14:32:00 -0400
Organization: Compilers Central
References: 10-05-078 10-05-081
Keywords: lex, DFA
Posted-Date: 16 May 2010 01:49:53 EDT

> If N1 and N2 are the NFAs associated with regular expression R1 and
> R2 respectively, then we construct the N' associated with R1R2 as
> follows:
> a) For each final state s of N1, we make any transition that initiate
> from start state of N2 also to initiate from s.
> b) Start state of N1 would be start state of N'.
> c) Final states of N2 would be final states of N'.
> d) If start state of N2 is a final state then final states of N1 also
> would be final states of N'.
> e) We eliminate start state of N2 and all related transition if it is
> a useless state in N'.


That seems to describe the rules for the concatenation of R1 and R2, but
not their conjunction, right (where the conjunction R1&R2 is a regexp
that describes the set of strings corresponding to the intersection of
the set of strings described by R1 and by R2).




                Stefan



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