Sensing as a Complexity Measure
Abstract
The size of deterministic automata required for recognizing regular and $\omega $-regular languages is a well-studied measure for the complexity of languages. We introduce and study a new complexity measure, based on the sensing required for recognizing the language. Intuitively, the sensing cost quantifies the detail in which a random input word has to be read in order to decide its membership in the language. We study the sensing cost of regular and $\omega $-regular languages, as well as applications of the study in practice, especially in the monitoring and synthesis of reactive systems.
Domains
Computer Science [cs]| Origin | Files produced by the author(s) |
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