Formal proof of polynomial-time complexity with quasi-interpretations
Pages 146 - 157
Abstract
We present a Coq library that allows for readily proving that a function is computable in polynomial time. It is based on quasi-interpretations that, in combination with termination ordering, provide a characterisation of the class fp of functions computable in polynomial time. At the heart of this formalisation is a proof of soundness and extensional completeness. Compared to the original paper proof, we had to fill a lot of not so trivial details that were left to the reader and fix a few glitches. To demonstrate the usability of our library, we apply it to the modular exponentiation.
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Index Terms
- Formal proof of polynomial-time complexity with quasi-interpretations
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Published: 08 January 2018
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- Marie Sklodowska--Curie action ``Walgo', program H2020-MSCA-IF-2014
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