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Towards Verified Handwritten Calculational Proofs

Title
Towards Verified Handwritten Calculational Proofs
Type
Article in International Conference Proceedings Book
Year
2018
Authors
Mendes, A
(Author)
Other
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Ferreira, JF
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Conference proceedings International
Pages: 432-440
9th International Conference on Interactive Theorem Proving (ITP) Held as Part of the Federated Logic Conference (FloC)
Oxford, ENGLAND, JUL 09-12, 2018
Other information
Authenticus ID: P-00Q-8Q0
Abstract (EN): 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 proof-of-concept prototype that can formally verify handwritten calculational proofs without the need to learn the specific syntax of theorem provers.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 9
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