The paper introduces an SMT-based active learning algorithm for nondeterministic weighted finite automata (WFAs), offering a practical alternative to traditional Hankel/L*-style methods. The algorithm is parametric over a chosen semiring and, upon termination, guarantees the production of minimal WFAs. Experiments demonstrate that it learns numerous minimal WFAs over both finite and infinite semirings, outperforming a naive baseline and competing with state‑of‑the‑art algorithms while yielding smaller automata and requiring less teacher interaction.
By Tiago Ferreira, Kevin Batz, Alexandra Silva
The paper investigates how the ability to synthesize arbitrary queries (membership queries) changes the sample complexity of active learning compared to the traditional pool-based setting. It shows that some hypothesis classes that only achieve polynomial error decay with pool-based queries become exponentially learnable when synthesis is allowed, revealing a significant gap in learning difficulty. The authors propose sufficient conditions, provide examples, and suggest a conjectural framework to identify classes that benefit from synthesized queries.
By Ganghua Wang, Shaddin Dughmi
arXiv:2606. 25777v1 Announce Type: cross Abstract: We initiate a resource-aware theory of \textit{language generation in the limit} under the minimal constraint of space efficiency.
By Nicolas Flammarion, Chirag Pabbaraju, Hristo Papazov, Miltiadis Stouras, Ola Svensson
arXiv:2601. 13731v2 Announce Type: replace-cross Abstract: Symbolic computation, powered by modern computer algebra systems, has important applications in mathematical reasoning through exact deep computations.
By Rui-Juan Jing, Yuegang Zhao, Changbo Chen
arXiv:2609.01032v1 Announce Type: cross
Abstract: Automated mining of formal specifications is vital for verifying real-time systems. However, existing passive learning approaches remain restricted t...
By Hsi-Ming Ho, Shankaranarayanan Krishna, Khushraj Madnani
arXiv:2606. 28947v1 Announce Type: cross Abstract: In this study we present a formal definition of large discrete sets having, informally, three properties: their elements are easily recognized, easily generated, and the latter tasks are easily learned from examples.
By Veit Elser, Manish Krishan Lal