The Seiberg–Witten SU(2) solution is formalized in Lean 4 with physical assumptions as named predicates and mathematical consequences as sorry-free theorems, demonstrating a method for auditing non-rigorous physics arguments.
Mathematics and the formal turn
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof assistants now make it possible to encode mathematical knowledge in digital form. This article enumerates some of the ways that these and related technologies can help us do mathematics.
fields
hep-th 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Axioms for physical reasoning: codifying the Seiberg--Witten solution in Lean
The Seiberg–Witten SU(2) solution is formalized in Lean 4 with physical assumptions as named predicates and mathematical consequences as sorry-free theorems, demonstrating a method for auditing non-rigorous physics arguments.