shamieh Messages 538 Reaction score 0 Thread starter Feb 27, 2015 #1 is the set of symbols that make up strings denoted by the symbol Σ or Σ* , also what is this difference?
is the set of symbols that make up strings denoted by the symbol Σ or Σ* , also what is this difference?
Evgeny.Makarov Gold Member MHB Messages 2,434 Reaction score 4 Feb 27, 2015 #2 Usually the set of symbols, or the alphabet, is denoted by $\Sigma$. Then $\Sigma^*$ denotes the set of all finite strings in the alphabet $\Sigma$.
Usually the set of symbols, or the alphabet, is denoted by $\Sigma$. Then $\Sigma^*$ denotes the set of all finite strings in the alphabet $\Sigma$.
I like Serena Science Advisor Homework Helper MHB Messages 16,335 Reaction score 258 Feb 27, 2015 #3 The star (*) is the so called Kleene Star. It means zero-or-more. So indeed, Σ is the alphabet, while Σ* is the set of strings consisting of zero or more symbols from the alphabet.
The star (*) is the so called Kleene Star. It means zero-or-more. So indeed, Σ is the alphabet, while Σ* is the set of strings consisting of zero or more symbols from the alphabet.