Encapsulated vs systemic complexity in protocol design
2022 Feb 28
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One of the main goals of Ethereum protocol design is to minimize complexity: make the protocol as simple as possible, while still making a blockchain that can do what an effective blockchain needs to do. The Ethereum protocol is far from perfect at this, especially since much of it was designed in 2014-16 when we understood much less, but we nevertheless make an active effort to reduce complexity whenever possible.
One of the challenges of this goal, however, is that complexity is difficult to define, and sometimes, you have to trade off between two choices that introduce different kinds of complexity and have different costs. How do we compare?
One powerful intellectual tool that allows for more nuanced thinking about complexity is to draw a distinction between what we will call encapsulated complexity and systemic complexity.
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)
Encapsulated complexity occurs when there is a system with sub-systems that are internally complex, but that present a simple "interface" to the outside. Systemic complexity occurs when the different parts of a system can't even be cleanly separated, and have complex interactions with each other.
Here are a few examples.
BLS signatures vs Schnorr signatures
BLS signatures and Schnorr signatures are two popular types of cryptographic signature schemes that can be made with elliptic curves.
BLS signatures appear mathematically very simple:
Signing:
Verifying:
is a hash function, is the message, and and are the private and public keys. So far, so simple. However, the true complexity is hidden inside the definition of the function: elliptic curve pairings, one of the most devilishly hard-to-understand pieces of math in all of cryptography.
Now, consider Schnorr signatures. Schnorr signatures rely only on basic elliptic curves. But the signing and verification logic is somewhat more complex:
![](data:image/png;base64,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)
So... which type of signature is "simpler"? It depends what you care about! BLS signatures have a huge amount of technical complexity, but the complexity is all buried within the definition of the function. If you treat the function as a black box, BLS signatures are actually really easy. Schnorr signatures, on the other hand, have less total complexity, but they have more pieces that could interact with the outside world in tricky ways.
For example:
- Doing a BLS multi-signature (a combined signature from two keys and ) is easy: just take . But a Schnorr multi-signature requires two rounds of interaction, and there are tricky key cancellation attacks that need to be dealt with.
- Schnorr signatures require random number generation, BLS signatures do not.
Elliptic curve pairings in general are a powerful "complexity sponge" in that they contain large amounts of encapsulated complexity, but enable solutions with much less systemic complexity. This is also true in the area of polynomial commitments: compare the simplicity of KZG commitments (which require pairings) to the much more complicated internal logic of inner product arguments (which do not).
Cryptography vs cryptoeconomics
One important design choice that appears in many blockchain designs is that of cryptography versus cryptoeconomics. Often (eg. in rollups) this comes in the form of a choice between validity proofs (aka. ZK-SNARKs) and fraud proofs.
ZK-SNARKs are complex technology. While the basic ideas behind how they work can be explained in a single post, actually implementing a ZK-SNARK to verify some computation involves many times more complexity than the computation itself (hence why ZK-SNARKs for the EVM are still under development while fraud proofs for the EVM are already in the testing stage). Implementing a ZK-SNARK effectively involves circuit design with special-purpose optimization, working with unfamiliar programming languages, and many other challenges. Fraud proofs, on the other hand, are inherently simple: if someone makes a challenge, you just directly run the computation on-chain. For efficiency, a binary-search scheme is sometimes added, but even that doesn't add too much complexity.
But while ZK-SNARKs are complex, their complexity is encapsulated complexity. The relatively light complexity of fraud proofs, on the other hand, is systemic. Here are some examples of systemic complexity that fraud proofs introduce:
- They require careful incentive engineering to avoid the verifier's dilemma.
- If done in-consensus, they require extra transaction types for the fraud proofs, along with reasoning about what happens if many actors compete to submit a fraud proof at the same time.
- They depend on a synchronous network.
- They allow censorship attacks to be also used to commit theft.
- Rollups based on fraud proofs require liquidity providers to support instant withdrawals.
For these reasons, even from a complexity perspective purely cryptographic solutions based on ZK-SNARKs are likely to be long-run safer: ZK-SNARKs have are more complicated parts that some people have to think about, but they have fewer dangling caveats that everyone has to think about.
Miscellaneous examples
- Proof of work (Nakamoto consensus) - low encapsulated complexity, as the mechanism is extremely simple and easy to understand, but higher systemic complexity (eg. selfish mining attacks).
- Hash functions - high encapsulated complexity, but very easy-to-understand properties so low systemic complexity.
- Random shuffling algorithms - shuffling algorithms can either be internally complicated (as in Whisk) but lead to easy-to-understand guarantees of strong randomness, or internally simpler but lead to randomness properties that are weaker and more difficult to analyze (systemic complexity).
- Miner extractable value (MEV) - a protocol that is powerful enough to support complex transactions can be fairly simple internally, but those complex transactions can have complex systemic effects on the protocol's incentives by contributing to the incentive to propose blocks in very irregular ways.
- Verkle trees - Verkle trees do have some encapsulated complexity, in fact quite a bit more than plain Merkle hash trees. Systemically, however, Verkle trees present the exact same relatively clean-and-simple interface of a key-value map. The main systemic complexity "leak" is the possibility of an attacker manipulating the tree to make a particular value have a very long branch; but this risk is the same for both Verkle trees and Merkle trees.
How do we make the tradeoff?
Often, the choice with less encapsulated complexity is also the choice with less systemic complexity, and so there is one choice that is obviously simpler. But at other times, you have to make a hard choice between one type of complexity and the other. What should be clear at this point is that complexity is less dangerous if it is encapsulated. The risks from complexity of a system are not a simple function of how long the specification is; a small 10-line piece of the specification that interacts with every other piece adds more complexity than a 100-line function that is otherwise treated as a black box.
However, there are limits to this approach of preferring encapsulated complexity. Software bugs can occur in any piece of code, and as it gets bigger the probability of a bug approaches 1. Sometimes, when you need to interact with a sub-system in an unexpected and new way, complexity that was originally encapsulated can become systemic.
One example of the latter is Ethereum's current two-level state tree, which features a tree of account objects, where each account object in turn has its own storage tree.
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)
This tree structure is complex, but at the beginning the complexity seemed to be well-encapsulated: the rest of the protocol interacts with the tree as a key/value store that you can read and write to, so we don't have to worry about how the tree is structured.
Later, however, the complexity turned out to have systemic effects: the ability of accounts to have arbitrarily large storage trees meant that there was no way to reliably expect a particular slice of the state (eg. "all accounts starting with 0x1234") to have a predictable size. This makes it harder to split up the state into pieces, complicating the design of syncing protocols and attempts to distribute the storage process. Why did encapsulated complexity become systemic? Because the interface changed. The fix? The current proposal to move to Verkle trees also includes a move to a well-balanced single-layer design for the tree,
Ultimately, which type of complexity to favor in any given situation is a question with no easy answers. The best that we can do is to have an attitude of moderately favoring encapsulated complexity, but not too much, and exercise our judgement in each specific case. Sometimes, a sacrifice of a little bit of systemic complexity to allow a great reduction of encapsulated complexity really is the best thing to do. And other times, you can even misjudge what is encapsulated and what isn't. Each situation is different.
Encapsulated vs systemic complexity in protocol design
2022 Feb 28 See all postsOne of the main goals of Ethereum protocol design is to minimize complexity: make the protocol as simple as possible, while still making a blockchain that can do what an effective blockchain needs to do. The Ethereum protocol is far from perfect at this, especially since much of it was designed in 2014-16 when we understood much less, but we nevertheless make an active effort to reduce complexity whenever possible.
One of the challenges of this goal, however, is that complexity is difficult to define, and sometimes, you have to trade off between two choices that introduce different kinds of complexity and have different costs. How do we compare?
One powerful intellectual tool that allows for more nuanced thinking about complexity is to draw a distinction between what we will call encapsulated complexity and systemic complexity.
Encapsulated complexity occurs when there is a system with sub-systems that are internally complex, but that present a simple "interface" to the outside. Systemic complexity occurs when the different parts of a system can't even be cleanly separated, and have complex interactions with each other.
Here are a few examples.
BLS signatures vs Schnorr signatures
BLS signatures and Schnorr signatures are two popular types of cryptographic signature schemes that can be made with elliptic curves.
BLS signatures appear mathematically very simple:
Signing:
Verifying:
Now, consider Schnorr signatures. Schnorr signatures rely only on basic elliptic curves. But the signing and verification logic is somewhat more complex:
So... which type of signature is "simpler"? It depends what you care about! BLS signatures have a huge amount of technical complexity, but the complexity is all buried within the definition of the function. If you treat the function as a black box, BLS signatures are actually really easy. Schnorr signatures, on the other hand, have less total complexity, but they have more pieces that could interact with the outside world in tricky ways.
For example:
Elliptic curve pairings in general are a powerful "complexity sponge" in that they contain large amounts of encapsulated complexity, but enable solutions with much less systemic complexity. This is also true in the area of polynomial commitments: compare the simplicity of KZG commitments (which require pairings) to the much more complicated internal logic of inner product arguments (which do not).
Cryptography vs cryptoeconomics
One important design choice that appears in many blockchain designs is that of cryptography versus cryptoeconomics. Often (eg. in rollups) this comes in the form of a choice between validity proofs (aka. ZK-SNARKs) and fraud proofs.
ZK-SNARKs are complex technology. While the basic ideas behind how they work can be explained in a single post, actually implementing a ZK-SNARK to verify some computation involves many times more complexity than the computation itself (hence why ZK-SNARKs for the EVM are still under development while fraud proofs for the EVM are already in the testing stage). Implementing a ZK-SNARK effectively involves circuit design with special-purpose optimization, working with unfamiliar programming languages, and many other challenges. Fraud proofs, on the other hand, are inherently simple: if someone makes a challenge, you just directly run the computation on-chain. For efficiency, a binary-search scheme is sometimes added, but even that doesn't add too much complexity.
But while ZK-SNARKs are complex, their complexity is encapsulated complexity. The relatively light complexity of fraud proofs, on the other hand, is systemic. Here are some examples of systemic complexity that fraud proofs introduce:
For these reasons, even from a complexity perspective purely cryptographic solutions based on ZK-SNARKs are likely to be long-run safer: ZK-SNARKs have are more complicated parts that some people have to think about, but they have fewer dangling caveats that everyone has to think about.
Miscellaneous examples
How do we make the tradeoff?
Often, the choice with less encapsulated complexity is also the choice with less systemic complexity, and so there is one choice that is obviously simpler. But at other times, you have to make a hard choice between one type of complexity and the other. What should be clear at this point is that complexity is less dangerous if it is encapsulated. The risks from complexity of a system are not a simple function of how long the specification is; a small 10-line piece of the specification that interacts with every other piece adds more complexity than a 100-line function that is otherwise treated as a black box.
However, there are limits to this approach of preferring encapsulated complexity. Software bugs can occur in any piece of code, and as it gets bigger the probability of a bug approaches 1. Sometimes, when you need to interact with a sub-system in an unexpected and new way, complexity that was originally encapsulated can become systemic.
One example of the latter is Ethereum's current two-level state tree, which features a tree of account objects, where each account object in turn has its own storage tree.
This tree structure is complex, but at the beginning the complexity seemed to be well-encapsulated: the rest of the protocol interacts with the tree as a key/value store that you can read and write to, so we don't have to worry about how the tree is structured.
Later, however, the complexity turned out to have systemic effects: the ability of accounts to have arbitrarily large storage trees meant that there was no way to reliably expect a particular slice of the state (eg. "all accounts starting with 0x1234") to have a predictable size. This makes it harder to split up the state into pieces, complicating the design of syncing protocols and attempts to distribute the storage process. Why did encapsulated complexity become systemic? Because the interface changed. The fix? The current proposal to move to Verkle trees also includes a move to a well-balanced single-layer design for the tree,
Ultimately, which type of complexity to favor in any given situation is a question with no easy answers. The best that we can do is to have an attitude of moderately favoring encapsulated complexity, but not too much, and exercise our judgement in each specific case. Sometimes, a sacrifice of a little bit of systemic complexity to allow a great reduction of encapsulated complexity really is the best thing to do. And other times, you can even misjudge what is encapsulated and what isn't. Each situation is different.