Abstract
The proofs of the Church-Rosser theorems for β, η, and βqqη reduction in untyped λ-calculus are formalized in Isabelle/HOL, an implementation of Higher Order Logic in the generic theorem prover Isabelle. For β-reduction, both the standard proof and Takahashi's are given and compared. All proofs are based on a general theory of commutating relations that supports an almost geometric style of reasoning about confluence diagrams.
| Original language | English |
|---|---|
| Pages (from-to) | 51-66 |
| Number of pages | 16 |
| Journal | Journal of Automated Reasoning |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2001 |
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