Heath Sanchez

Founder @MetalogicLabs

[Heath Sanchez @Netrepreneur]

@ilyasergey @hillelogram @muratdemirbas @tianyin_xu Very cool. How are you making sure what you verify is what matters?

[Heath Sanchez @Netrepreneur]

@danintheory @sama A valid proof, passing test or positive observation does not automatically authorize the stronger claim someone attaches to it.

[Heath Sanchez @Netrepreneur]

@jdlichtman On it.

[Heath Sanchez @Netrepreneur]

@fchollet currently coincides with math + code because they have verifiers. But not intrinsically math + code. The frontier is whatever can be made verifiable

[Heath Sanchez @Netrepreneur]

@pmddomingos Well problems are a human idea 🤷‍♂️

[Heath Sanchez @Netrepreneur]

@patrick_kuhnke_ Net +

It enabled me to traverse worlds formerly impassable and have a jolly old time.

[Heath Sanchez @Netrepreneur]

@jdlichtman And then one day, mathematics became executable infrastructure.

[Heath Sanchez @Netrepreneur]

@DanRomik Yes! This puts the finger on the technical problem: can AI distill each result into the smallest verified, reusable insight, then compound those insights into less search next time? Do you consider that a plausible route beyond “distance one”?

[Heath Sanchez @Netrepreneur]

@nasqret 👀

[Heath Sanchez @Netrepreneur]

@jdlichtman Yes ok.. this is very close to what I’m saying. Compression is what you will have needed after you discover which distinctions actually matter. Expansion can be used to find the consequential distinctions & verification tells us which survive.. compression removes the rest

[Heath Sanchez @Netrepreneur]

@hillelogram Exactly. “Formally verified” always means verified in some formalism against some expressible property.. The interesting problem is connecting those partial views without pretending any one of them sees the whole system

[Heath Sanchez @Netrepreneur]

@ilyasergey @leanprover Very cool! Keen to try Vermilion output checked by the MathGraph Lean Kernel, likely useful as an independent terminal-checker compatibility test..

[Heath Sanchez @Netrepreneur]

@arxiv «Знание - лучшее богатство»

[Heath Sanchez @Netrepreneur]

@techleadhd It’s all over my feed suddenly.

[Heath Sanchez @Netrepreneur]

@steida @dysinger Yep. And don’t underestimate the Lean community.

[Heath Sanchez @Netrepreneur]

@steida Yes. AI makes code cheap, Lean makes fake correctness expensive. The rare skill shifts from writing implementations to finding and stating the right invariants.

[Heath Sanchez @Netrepreneur]

@patrick_kuhnke_ Absolutely. Now 10x faster reaching and climbing, but you still need a ladder and the right wall to achieve “success”.