Towards Verified Handwritten Calculational Proofs

Abstract

Despite great advances in computer-assisted proof systems, writing formal proofs using a traditional computer is still challenging due to mouse-and-keyboard interaction. This leads to scientists often resorting to pen and paper to write their proofs. However, when handwriting a proof, there is no formal guarantee that the proof is correct. In this paper we address this issue and present the initial steps towards a system that allows users to handwrite proofs using a pen-based device and that communicates with an external theorem prover to support the users throughout the proof writing process. We focus on calculational proofs, whereby a theorem is proved by a chain of formulae, each transformed in some way into the next. We present the implementation of a proofof-concept prototype that can formally verify handwritten calculational proofs without the need to learn the specific syntax of theorem provers.

Publication
In 9th International Conference on Interactive Theorem Proving 2018 - recognised as a Springer Nature 2019 Highlight
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Alexandra Mendes
Assistant Professor

My research focuses on innovative user interfaces for formal methods and mathematical approaches to software quality. I am also interested on innovative and fun ways to teach Computer Science. For more details, see selected publications and some of my projects. Follow me on Twitter or add me on LinkedIn.