Hajdú, M., Hozzová, P., Kovács, L., Schoisswohl, J., & Voronkov, A. (2020). Induction with Generalization in Superposition Reasoning. In Proceedings of the 13th International Conference on Intelligent Computer Mathematics (CICM) (pp. 123–137). Springer. https://doi.org/10.34726/961
We describe an extension of automating induction in superposition-based reasoning by strengthening inductive properties and generalizing terms over which induction should be applied. We implemented our approach in the first-order theorem prover Vampire and evaluated our work against state-of-the-art reasoners automating induction. We demonstrate the strength of our technique by showing that many interesting mathematical properties of natural numbers and lists can be proved automatically using this extension.
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Project title:
Symbolic Computation and Automated Reasoning for Program Analysis: 639270 (European Research Council (ERC)) Symbol Elimination in Reliable System Engineering: 842066 (European Commission) Doktoratskolleg: W1255-N23 (Austrian Science Fund (FWF)) Domänenspezifisches Schließen in IoT Anwendungen (Vereine, Stiftungen, Preise)
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Project (external):
Engineering and Physical Sciences Research Council (EPSRC) KAW Foundation
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Project ID:
EP/P03408X/1 Wallenberg Academy fellowship 2014 TheProSE
