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CSL
2008
Springer

Quantitative Languages

9 years 1 months ago
Quantitative Languages
Quantitative generalizations of classical languages, which assign to each word a real number instead of a boolean value, have applications in modeling resource-constrained computation. We use weighted automata (finite automata with transition weights) to define several natural classes of quantitative languages over finite and infinite words; in particular, the real value of an infinite run is computed as the maximum, limsup, liminf, limit average, or discounted sum of the transition weights. We define the classical decision problems of automata theory (emptiness, universality, language inclusion, and language equivalence) in the quantitative setting and study their computational complexity. As the decidability of language inclusion remains open for some classes of weighted automata, we introduce a notion of quantitative simulation that is decidable and implies language inclusion. We also give a complete characterization of the expressive power of the various classes of weighted automat...
Krishnendu Chatterjee, Laurent Doyen, Thomas A. He
Added 19 Oct 2010
Updated 19 Oct 2010
Type Conference
Year 2008
Where CSL
Authors Krishnendu Chatterjee, Laurent Doyen, Thomas A. Henzinger
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