Dependent type practice (invited talk)

L. D. Moura
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Abstract

Dependent type theory is a powerful and expressive language for writing mathematical expressions and proofs, but careful design, engineering, and hard work are needed to put the theory into practice. In this talk, I will discuss some of the ideas and techniques that have been used in the design of the Lean theorem prover, a new proof system based on dependent type theory that aims to make the theorem proving process more natural, convenient, and efficient.
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依赖型练习(特邀讲座)
依赖类型理论是一种强大而富有表现力的语言,用于编写数学表达式和证明,但要将理论付诸实践,需要仔细的设计、工程和艰苦的工作。在这次演讲中,我将讨论一些在精益定理证明器设计中使用的思想和技术,精益定理证明器是一种基于依赖类型论的新的证明系统,旨在使定理证明过程更加自然,方便和高效。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Dependent type practice (invited talk) A Formal Proof of Borodin-Trakhtenbrot's Gap Theorem Machine Assisted Proof of ARMv7 Instruction Level Isolation Properties Programming Type-Safe Transformations Using Higher-Order Abstract Syntax Certifiably Sound Parallelizing Transformations
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