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Amortized Complexity Verified

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Abstract

A framework for the analysis of the amortized complexity of functional data structures is formalized in the proof assistant Isabelle/HOL and applied to a number of standard examples and to the following non-trivial ones: skew heaps, splay trees, splay heaps and pairing heaps. The proofs are completely algebraic and are presented in some detail.

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Acknowledgements

Berry Schoenmakers patiently answered many questions about his work. We thank the referees for their careful reading and helpful suggestions.

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  1. Technische Universität München, München, Germany

    Tobias Nipkow & Hauke Brinkop

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  1. Tobias Nipkow
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  2. Hauke Brinkop
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Supported by DFG Koselleck grant NI 491/16-1.

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Nipkow, T., Brinkop, H. Amortized Complexity Verified. J Autom Reasoning 62, 367–391 (2019). https://doi.org/10.1007/s10817-018-9459-3

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