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Formal Verification Gates for AI Coding Loops

reubenbrooks.dev

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Re: Formal Verification Gates for AI Coding Loops

#2
Author here. The TL;DR: move rules from prompts into types the compiler refuses to violate, then bounce the AI coding loop off those refusals. The repo is github.com/pyrex41/Shen-Backpressure. Builds a lot on Geoff Huntley's backpressure idea -- none of this is rocket science, just an effort to apply sound programming principles in a world of LLM coding agents.

Re: Formal Verification Gates for AI Coding Loops

#4
post #2

Author here. The TL;DR: move rules from prompts into types the compiler refuses to violate, then bounce the AI coding loop off those refusals. The repo is github.com/pyrex41/Shen-Backpressure. Builds a lot on Geoff Huntley's backpressure idea -- none of this is rocket science, just an effort to apply sound programming principles in a world of LLM coding agents.

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Re: Formal Verification Gates for AI Coding Loops

#5
post #2

Author here. The TL;DR: move rules from prompts into types the compiler refuses to violate, then bounce the AI coding loop off those refusals. The repo is github.com/pyrex41/Shen-Backpressure. Builds a lot on Geoff Huntley's backpressure idea -- none of this is rocket science, just an effort to apply sound programming principles in a world of LLM coding agents.

Thank you, interesting work. Please, clarify what is possibly a naive question - your README states that the constraints imposed by your tool are weaker than the formal verification guarantees. Why not implement the backpressure as the full formal verification barrier? Too complex to implement?

Re: Formal Verification Gates for AI Coding Loops

#7
These guard types are great and I've heavily used them in the past. But why codegen them?

E.g. the jwt auth example has some major problems since the verification rules aren't fully specified in the spec. The jwt-token verified rule only checks that the string isn't empty, but it doesn't actually verify that it is correctly parsed, non-expired, and signed by a trusted key. The authenticated-user rule doesn't check that the user-id actually came from the jwt. If you hand-wrote your constructor, you would ensure these things. Similarly, all the other constructors allow passing in whatever values you like instead of checking the connections of the real objects.

By calling the constructor for these types, you are making an assertion about the relationship of the parameter values. If AI is calling the constructor, then it's able to make it's own assertions and derive whatever result it wants. That seems backwards. AI should use the result of tenant-access to deduce that a user is a member of tenant, but if they can directly call `(tenant-access user-id tenant-id true)`, then they can "prove" tenant-access for anything. In the past, we have named the constructors for these types `TenantAccess.newUnverified`, and then heavily scrutinized all callers (typically just jwt-parsers and specific database lookups). You can then use `TenantAccess.{userId,tenantId}` without scrutiny elsewhere.

Re: Formal Verification Gates for AI Coding Loops

#8
post #2

Author here. The TL;DR: move rules from prompts into types the compiler refuses to violate, then bounce the AI coding loop off those refusals. The repo is github.com/pyrex41/Shen-Backpressure. Builds a lot on Geoff Huntley's backpressure idea -- none of this is rocket science, just an effort to apply sound programming principles in a world of LLM coding agents.

Thank you, interesting work. Please, clarify what is possibly a naive question - your README states that the constraints imposed by your tool are weaker than the formal verification guarantees. Why not implement the backpressure as the full formal verification barrier? Too complex to implement?

The distinction worth keeping clean is between the spec (here, written as proofs in Shen) being formally rigorous and the entire codebase being formally verified. Shen-Backpressure does the first: the spec is a sequent-calculus statement of invariants, and shengen lowers it into guard types the target compiler refuses to violate, so within the target language's type discipline you cannot construct a tenant-access (or any other witness) without discharging its premises.

It does not do the second (formally verify the entire codebase). Outside the guard types your Go or TypeScript is just code. It can panic, race, have bugs in unrelated logic, use reflection to forge values inside the guard package, get a wrong answer from the SQL query that fed the predicate, and so on. The proof ends at the projection boundary.

Why not go further? Not really "too complex to implement," in theory; it has been done before. But verifying the whole program is much higher engineering cost, and the trades-offs to do it make sense in a much narrower set of cases than what I'm trying to target: teams shipping production code with AI in the loop, in the language they already ship.

The pragmatic choice is to spend the verification budget on the small set of invariants that genuinely matter and leave the rest as ordinary code with ordinary review and tests. That is why the claim is phrased as "practically impossible to accidentally bypass, not categorically impossible to bypass." Over-claiming "verified" when the host language is unverified would be misleading.

Re: Formal Verification Gates for AI Coding Loops

#9
post #7

These guard types are great and I've heavily used them in the past. But why codegen them? E.g. the jwt auth example has some major problems since the verification rules aren't fully specified in the spec. The jwt-token verified rule only checks that the string isn't empty, but it doesn't actually verify that it is correctly parsed, non-expired, and signed by a trusted key. The authenticated-user rule doesn't check th…

I think you're right on the substance. A production-grade spec (or guard type) needs stronger assertions than the toy example in the post — predicates for signature verification, claim-binding, and expiry-from-token, at minimum. The example is only illustrating the proof-chain shape, and isn't a good example of a full-fledged JWT validator.

Your underlying point, that calling the constructor is the assertion so AI passing `true` can "prove" whatever — is true of any smart-constructor pattern, including your own `newUnverified` approach. The trust still has to live somewhere. In your pattern it lives in the small set of audited callers; in shengen's case it lives in the same place — the wrappers (like `CheckTenantAccess`) that actually establish the premise via a DB query or a JWT parse. Structurally the two approaches are doing the same thing. To harden it, you'd keep the raw constructors package-private and export only the wrappers, so the handler code the LLM is writing physically cannot call NewTenantAccess(..., true) — only CheckTenantAccess.

On the deeper question about "why codegen": the short answer is "obviously, you don't have to." But if we assume that we're using AI to write at least some of the code, now you have to either (1) describe the constructor in very precise English and have the LLM generate it, (2) inject yourself into the loop closely with the LLM, or (3) not use an LLM for this part. My proposition is that writing the core invariants as proofs that can be deterministically checked for internal consistency and written declaratively is (1) more efficient, (2) less lossy, and (3) easier for the developer to read and reason about than writing the constructor from scratch. This puts a lot of trust in the codegen, as you point out; but as a practical matter, having a formal representation of what you want plus an English prompt is stronger context to the LLM anyway.

The other reason I started down this path, which I didn't get into in the post because I haven't figured out yet if it's truly practical, comes from a property specific to Shen: it has a very small kernel that has been ported into a lot of runtimes — Lisp, C, JS, Go, Python, Erlang, Scheme, Java, etc (https://shen-language.github.io/#downloads). That opens up the possibility of writing specs whose predicates run as runtime gates from the same Shen expression, no translation step — and even mixing compile-time and runtime assertions into the same spec. I find this very interesting conceptually, but I'm not sure yet whether it's practically useful for anything.

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