theory Scratch imports Main begin (* Define addition via fixed point *) definition add :: "nat ⇒ nat ⇒ nat" where "add ≡ fix (λadd n m. if n = 0 then m else add (n-1) (m+1))"
Also known as (EXperimental TRansformational Equational Mathematics Engine), this is not a new front-end or library. It is a radically stripped-down meta-logic – the absolute minimal core needed to perform interactive proofs within the Isabelle framework. isabelle-extreme
end
isabelle-extreme is the "assembly language" of the Isabelle ecosystem – raw, unforgiving, and beautiful in its simplicity. While you will never ship a verified compiler written in it, exploring it offers a rare glimpse into the foundational bedrock on which massive proof developments rest. theory Scratch imports Main begin (* Define addition
Most people in the formal verification community are familiar with – the powerful, mainstream interactive theorem prover used for everything from operating system kernels (seL4) to financial protocols. But lurking in the source tree and early development history is a hidden gem: isabelle-extreme . end isabelle-extreme is the "assembly language" of the
isabelle extreme This opens a theory file with the extension .ext . Here’s a minimal example: