GoKawiilBlog post formalizes quine construction via Kleene's second recursion theorem
A software engineer blogged about an attempt to formalize the well-known result that quines follow from Kleene's second recursion theorem, drawing on an existing preprint that carries out the construction in untyped lambda calculus. The post walks through the classical computability-theoretic statement of the theorem and sketches how setting the relevant function to the identity yields a self-referential index resembling a quine.
GoKawiil's interpretation of the reporting above, not reported fact.
The author argues that formalizing a proof forces clearer definitions and structure, suggesting that formal verification work can generate mathematical insight rather than being mere rote transcription. This framing positions the exercise as a case study for how theoretical computer science and formal methods communities might approach classical recursion theory results pedagogically.
- The post explores formalizing the link between Kleene's second recursion theorem and the existence of quines.
- It builds on a preprint that performs the construction using untyped lambda calculus.
- The author frames formalization as a tool for gaining mathematical insight, not just verification.
Source: emarzion.github.io — Normal Form, 2026-10-31
Published there as: “Constructing a Quine from Kleene's Second Recursion Theorem”
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