Many problems in mathematics and computer science involve summations. We present a procedure that automatically proves equations involving finite summations, inspired by the theory of holonomic sequences. The procedure is designed to be interleaved with the activities of a higher-order automatic theorem prover. It performs an induction and automatically solves the induction step, leaving the base cases to the theorem prover.
CITATION STYLE
Nummelin, V., Blanchette, J., & Dahmen, S. R. (2023). Recurrence-Driven Summations in Automated Deduction. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 14279 LNAI, pp. 23–40). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-43369-6_2
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