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- W280867409 abstract "Contemporary proof verificators often use a command language to construct proofs. These commandsare often called tactics. This new generation of theorem provers is a substantial improvement over earlierones such as AUTOMATH. Based on experience with these new provers we feel the need to study theselanguages further, especially, because we think that these may be improved in their adequateness to expressproofs closer to the established mathematical vernacular. We also feel that a systematic treatment of thesevernaculars may lead to an improvement towards the automatic inference of trivial proof steps. In anycase a systematic treatment will lead to a better understanding of the command languages.This exercise is carried out in the setting of Pure Type Systems (PTSs) in which a whole range oflogics can be embedded. We first identify a subclass of PTSs, called the PTSs for logic. For this class we define a formal mathematical vernacular and we prove elementary sound and completeness. Via anelaborate example we try to assess how easy proofs in mathematics can be written down in our vernacular along the lines of the original proofs." @default.
- W280867409 created "2016-06-24" @default.
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- W280867409 date "1992-12-01" @default.
- W280867409 modified "2023-09-24" @default.
- W280867409 title "Towards a Formal Mathematical Vernacular" @default.
- W280867409 hasPublicationYear "1992" @default.
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