\( \newcommand{\matr}[1] {\mathbf{#1}} \newcommand{\vertbar} {\rule[-1ex]{0.5pt}{2.5ex}} \newcommand{\horzbar} {\rule[.5ex]{2.5ex}{0.5pt}} \)
header
Show Answer
\( \newcommand{\cat}[1] {\mathrm{#1}} \newcommand{\catobj}[1] {\operatorname{Obj}(\mathrm{#1})} \newcommand{\cathom}[1] {\operatorname{Hom}_{\cat{#1}}} \)
Math and science::Theory of Computation

Alphabets and Languages

An alphabet is defined to be any [...]. The members of an alphabet are [...] of the alphabet.

A [something over something] is a finite sequence of symbols from that alphabet.

A language is [...]. A language is [...] if no member is a proper prefix of another.

A string is a proper prefix of another if it is a prefix but not equal to the other.

We say that a finite machine \( M \) [...] if \( A = \{w | M \text{ accepts } w \} \). A language is called a [...] if some finite automaton recognizes it.