Infinite Lists in Lean
This article discusses the implementation of infinite lists in the Lean programming language, a proof assistant and functional programming language.
Why it matters
Understanding how to work with infinite data structures is an important concept in functional programming and formal verification, which Lean is designed for.
Key Points
- 1Lean supports infinite data structures like lists through the use of coinductive types
- 2Coinductive lists are defined using the 'colist' type, which allows for lazy evaluation and infinite computations
- 3The article explores various operations and properties of infinite lists in Lean, such as mapping, filtering, and concatenation
Details
Lean is a proof assistant and functional programming language that supports the use of infinite data structures through the use of coinductive types. In this article, the author discusses the implementation of infinite lists, or 'colists', in Lean. Colists are defined using the 'colist' type, which allows for lazy evaluation and the ability to perform infinite computations. The article explores various operations and properties of infinite lists, such as mapping, filtering, and concatenation. It also covers the differences between inductive and coinductive lists, and how Lean's type system and proof system can be used to reason about and work with infinite data structures.
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