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» Regular Expressions for Languages over Infinite Alphabets
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COCOON
2004
Springer
13 years 8 months ago
Regular Expressions for Languages over Infinite Alphabets
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 ...
Michael Kaminski, Tony Tan
FOSSACS
2008
Springer
13 years 6 months ago
Optimal Lower Bounds on Regular Expression Size Using Communication Complexity
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 ...
Hermann Gruber, Jan Johannsen
LATA
2010
Springer
13 years 8 months ago
Variable Automata over Infinite Alphabets
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...
Sarai Sheinvald, Orna Grumberg, Orna Kupferman
DM
2010
88views more  DM 2010»
13 years 4 months ago
Multidimensional generalized automatic sequences and shape-symmetric morphic words
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...
Emilie Charlier, Tomi Kärki, Michel Rigo
FUIN
2010
98views more  FUIN 2010»
13 years 2 months ago
A Note on Two-pebble Automata Over Infinite Alphabets
It is shown that the emptiness problem for 2-PA languages is undecidable and that 2-PA are weaker than 3-PA.
Michael Kaminski, Tony Tan