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expressing_regular_expressions_in_msol_over_strings [2007/05/06 21:01] vkuncak |
expressing_regular_expressions_in_msol_over_strings [2007/05/06 21:01] vkuncak |
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| ====== Expressing regular expressions in MSOL over strings ====== | ====== Expressing regular expressions in MSOL over strings ====== | ||
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| Idea: for each regular expression $r$ of a [[regular expressions for automata with parallel inputs|automaton for parallel inputs]] $v_1,\ldots,v_n$ associate a formula $F$ with free variables $v_1,\ldots,v_n,p,q$ such that $F$ is valid precisely for whose sets of numbers for which | Idea: for each regular expression $r$ of a [[regular expressions for automata with parallel inputs|automaton for parallel inputs]] $v_1,\ldots,v_n$ associate a formula $F$ with free variables $v_1,\ldots,v_n,p,q$ such that $F$ is valid precisely for whose sets of numbers for which | ||