In this paper we introduce a notion of a regular expression over infinite alphabets and show that a language is definable by an infinite alphabet regular expression if and only if ...
The problem of converting deterministic finite automata into (short) regular expressions is considered. It is known that the required expression size is 2(n) in the worst case for ...
Automated reasoning about systems with infinite domains requires an extension of regular automata to infinite alphabets. Existing formalisms of such automata cope with the infinite...
An infinite word is S-automatic if, for all n 0, its (n+1)st letter is the output of a deterministic automaton fed with the representation of n in the numeration system S. In this...