Predicate vs Script and what is Coin vs Asset

Is there an illustration use case to elaborate what is the difference of predicate and script?
Also according to the docs: What does it mean by Coins of the same Asset are not distinguishable from one another.?

Asset vs Coin vs Token

An “Asset” is a Native Asset on Fuel and has the associated AssetId type. Assets are distinguishable from one another. A “Coin” represents a singular unit of an Asset. Coins of the same Asset are not distinguishable from one another.

Fuel does not use tokens like other ecosystems such as Ethereum and uses Native Assets with a UTXO design instead.

Predicates are programs that returns true or false values and do not contain any side effects. They can own assets.

On the contrary, scripts are runnable bytecode on the chain that executes to perform certain task. . It does not represent ownership of any resources and it cannot be called by a contract. A script can return a single value of any type.

You can read more about them here and here.

and here it means that assets can be distinguishable and has an associated assetId. while coins on the contrary, comes under the Asset umbrella. there can be more than one coin of a particular asset id.

lt me know if that makes sense

In terms of solidity context, predicates are pure functions while scripts are functions that can modify memory variables?

Why do we need to transfer coins to predicate or “spend” predicate? Is there an illustration?

In terms of solidity context, predicates are pure functions while scripts are functions that can modify memory variables?

Not really, smart contracts are still smart contracts, which can have “pure” and stateful functions.

Predicates are a special type of lightweight smart-account, with custom conditions for validating transactions.

Scripts are programs that run as the entry-point to a transaction, and can enable things like batching or additional transaction logic.

Why do we need to transfer coins to predicate or “spend” predicate? Is there an illustration?

Predicates are accounts, so they’re only useful if they hold assets.

Can you provide a usecase of Predicates vs an EOA and Smart Contract?

An EOA relayer + smart-contract wallet can do everything that a predicate can do, but with much more complexity & overhead (relayers are required, who must also be paid a fee), more centralization (relayers are centralized), and more costs (predicates are much cheaper than smart-contracts).