Goedel
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Related Articles from SNS
Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement
Announce Type: new Abstract: We introduce Goedel-Architect, an agentic framework for formal theorem proving in Lean 4 centered on blueprint generation and refinement. A blueprint is a dependency graph of definitions and lemmas that builds up to the main theorem. First, Goedel-Architect generates a blueprint of formally stated definitions and lemmas, along with declared dependencies.
Auto formalisation of Goedel's Second Incompleteness Theorem in Binary Recursive Arithmetic
new Abstract: We report an experiment in autoformalisation of G\"odel's second incompleteness theorem in Agda using Claude. The theorem is formalised for Church's Basic Recursive Arithmetic (BRA), following the proof outline given in Guard's 1963 lecture notes. The entire Agda development, comprising approximately 50,000 lines and containing no postulates, was produced through interaction with Claude; the author did not write any Agda code.
Auto formalisation of Goedel's Second Incompleteness Theorem in Binary Recursive Arithmetic
arXiv:2606.01898v2 Announce Type: replace Abstract: We report an experiment in autoformalisation of G\"odel's second incompleteness theorem in Agda using Claude. The theorem is formalised for Church's Basic Recursive Arithmetic, following the proof outline given in Guard's 1963 lecture notes. The entire Agda development, comprising approximately 50,000 lines and containing no postulates, was produced through interaction with Claude; the author did not write any Agda code.
From 0-to-1 to 1-to-N: Reproducible Engineering Evidence for MetaAI Recursive Self-Design
arXiv:2606.09663v1 Announce Type: new Abstract: Recursive self-design refers to AI-assisted modification of the mechanisms by which an AI system is built, evaluated, and improved. This paper treats MetaAI not as a mature paradigm, but as a working term for a human-seeded, AI-expanded development pattern in which the design space itself becomes a target of modification. We propose an operational evidence framework with four criteria: inspectable target system, meta-level modifier,...