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Families of DFAs as Acceptors of $\omega$-Regular Languages

Dana Angluin ; Udi Boker ; Dana Fisman.
Families of DFAs (FDFAs) provide an alternative formalism for recognizing $\omega$-regular languages. The motivation for introducing them was a desired correlation between the automaton states and right congruence relations, in a manner similar to the Myhill-Nerode theorem for regular languages.&nbsp;[&hellip;]
Published on February 14, 2018

Query learning of derived $\omega$-tree languages in polynomial time

Dana Angluin ; Timos Antonopoulos ; Dana Fisman.
We present the first polynomial time algorithm to learn nontrivial classes of languages of infinite trees. Specifically, our algorithm uses membership and equivalence queries to learn classes of $\omega$-tree languages derived from weak regular $\omega$-word languages in polynomial time. The method&nbsp;[&hellip;]
Published on August 27, 2019

Constructing Concise Characteristic Samples for Acceptors of Omega Regular Languages

Dana Angluin ; Dana Fisman.
A characteristic sample for a language $L$ and a learning algorithm $\textbf{L}$ is a finite sample of words $T_L$ labeled by their membership in $L$ such that for any sample $T \supseteq T_L$ consistent with $L$, on input $T$ the learning algorithm $\textbf{L}$ returns a hypothesis equivalent to&nbsp;[&hellip;]
Published on November 8, 2024

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