Hah -- ZmnSCPxj that post's a doozy -- but it more or less makes sense the argument you're making in favor of permitting recursion at the transaction level.

One part that's less clear is if you can make a case against being recursive in Script fragments themselves -- ignoring bitcoin script for the moment, what would be wrong with a small VM that a spender is able to "purchase" a number of cycles and available memory via the annex, and the program must execute and halt within that time? Then, per block/txn, you can enforce a total cycle and memory limit. This still isn't quite the EVM, since there's no cross object calling convention and the output is still UTXOs. What are the arguments against this model from a safety perspective?

<new topic>

One of my general concerns with recursive covenants is the ability to "go wrong" in surprising ways. Consider the following program (Sapio-pseudocode), which is a non recursive covenant (i.e., doable today with presigning oracles) that demonstrates the issue.

struct Pool {
    members: Vec<(Amount, Key)>,
}
impl Pool {
    then!{
        fn withdraw(self, ctx) {
            let mut builder = ctx.template();
            for (a, k) in self.members.iter() {
                builder = builder.add_output(a, k.into(), None)?;
            }
            builder.into()
        }
    }
    guard! {
        fn all_signed(self, ctx) {
            Clause::And(self.members.iter().map(|(a,k)| Clause::Key(k.clone())).into())
        }
    }
    finish! {
        guarded_by: [all_signed]
        fn add_member(self, ctx, o_member: Option<(Amount, Key)>) {
            let member = o_member.into()?;
            let mut new_members = self.members.clone();
            new_members.push(member.clone());
            ctx.template().add_output(ctx.funds() + member.0,
                  Pool {members: new_members}, None)?.into()
        }
    }
}

Essentially this is a recursive covenant that allows either Complete via the withdraw call or Continue via add_member, while preserving the same underlying code. In this case, all_signed must be signed by all current participants to admit a new member.

This type of program is subtly "wrong" because the state transition of add_member does not verify that the Pool's future withdraw call will be valid. E.g., we could add more than a 1MB of outputs, and then our program would be "stuck". So it's critical that in our "production grade" covenant system we do some static analysis before proceeding to a next step to ensure that all future txns are valid. This is a strength of the CTV/Sapio model presently, you always output a list of future txns to aid static analysis.

However, when we make the leap to "automatic" covenants, I posit that it will be *incredibly* difficult to prove that recursive covenants don't have a "premature termination" where a state transition that should be valid in an idealized setting is accidentally invalid in the actual bitcoin environment and the program reaches a untimely demise.

For instance, OP_CAT has this footgun -- by only permitting 520 bytes, you hit covenant limits at around 13 outputs assuming you are length checking each one and not permitting bare script. We can avoid this specific footgun some of the time by using SHA256STREAM instead, of course.

However, it is generally very difficult to avoid all sorts of issues. E.g., with the ability to generate/update tapscript trees, what happens when through updating a well formed tapscript tree 128 times you bump an important clause past the 129 depth limit?

I don't think that these sorts of challenges mean that we shouldn't enable covenants or avoid enabling them, but rather that as we explore we should add primitives in a methodical way and give users/toolchain builders primitives that enable and or encourage safety and good program design.

My personal view is that CTV/Sapio with it's AOT compilation of automated state transitions and ability to statically analyze is a concept that can mature and be used in production in the near term. But the tooling to safely do recursive computations at the txn level will take quite a bit longer to mature, and we should be investing effort in producing compilers/frameworks for emitting well formed programs before we get too in the weeds on things like OP_TWEAK. (side note -- there's an easy path for adding this sort of experimental feature to Sapio if anyone is looking for a place to start)