Khái niệm cốt lõi
Design and implement LeanSSR for efficient proof automation using metaprogramming in Lean.
Tóm tắt
The content discusses the implementation of LeanSSR, a proof automation tool, using metaprogramming in Lean. It covers the structure, syntax, and execution of automation patterns, intro patterns, and rewrite patterns. The use of custom environment state extensions to handle rewrite locations is also demonstrated. Additionally, computational reflection via type classes is explored for efficient proof automation.
Structure:
- Introduction to LeanSSR design and implementation.
- Syntax definition for automation patterns.
- Execution rules for intro patterns.
- Custom environment state extensions for handling rewrite locations.
- Computational reflection through type classes.
Thống kê
Lean 4 is based on Calculus of Constructions with inductive types.
Lean encourages the use of decidable propositions as if they were Boolean expressions.
Reflect predicate mirrors Decidable but explicitly mentions Boolean representation.
Custom environment state extensions used to store additional data during elaboration.
Trích dẫn
"Lean assumes axioms of classical logic." - Content
"Lean provides a tunable mechanism for precise error highlighting." - Content