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A Vernacular for Coherent Logic

Sana Stojanovic 1 Julien Narboux 2 Marc Bezem 3 Predrag Janicic 1
2 IGG
ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie
Abstract : We propose a simple, yet expressive proof representation from which proofs for different proof assistants can easily be generated. The representation uses only a few inference rules and is based on a frag- ment of first-order logic called coherent logic. Coherent logic has been recognized by a number of researchers as a suitable logic for many ev- eryday mathematical developments. The proposed proof representation is accompanied by a corresponding XML format and by a suite of XSL transformations for generating formal proofs for Isabelle/Isar and Coq, as well as proofs expressed in a natural language form (formatted in LATEX or in HTML). Also, our automated theorem prover for coherent logic exports proofs in the proposed XML format. All tools are publicly available, along with a set of sample theorems.
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https://hal.inria.fr/hal-00983975
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Submitted on : Wednesday, May 14, 2014 - 9:33:03 AM
Last modification on : Friday, November 20, 2020 - 4:22:03 PM
Long-term archiving on: : Thursday, August 14, 2014 - 11:06:04 AM

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Sana Stojanovic, Julien Narboux, Marc Bezem, Predrag Janicic. A Vernacular for Coherent Logic. CICM 2014 - Conferences on Intelligent Computer Mathematics, Jul 2014, Coimbra, Portugal. pp.16, ⟨10.1007/978-3-319-08434-3_28⟩. ⟨hal-00983975v2⟩

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