Rewrite `datafusion-sqlancer` in Rust

### Is your feature request related to a problem or challenge?

This a project idea for GSoC 2025 https://github.com/apache/datafusion/issues/14478

`datafusion-sqlancer` is a SQL level fuzz testing implementation for DataFusion. https://github.com/apache/datafusion/issues/11030

## Current implementation status
`datafusion-sqlancer` has covered partial SQL features, and data types, and implemented 3 relatively simple testing oracles[^1]. With occasional manual runs, around 50 bugs have been found.
The implementation is in Java, and it's a fork of the original [SQLancer](https://github.com/sqlancer/sqlancer).

## Why rewrite in Rust
The SQLancer was first implemented in Java for very good reasons: it has to test the effectiveness of several testing oracles on many major databases, JDBC is a common interface.
DataFusion's SQLancer implementation now is done by extending SQLancer framework, it has saved us some effort to do CLI parsing, result comparison, etc.

There are several reasons I think it's a good idea to rewrite in Rust at this point:
- (major) **Making test oracles also apply to `sqllogictests`**
`datafusion-sqlancer` consists of two modules: random query generation, and property validation for test oracles. Those properties can also be applied to enhance existing [SQL tests](https://github.com/apache/datafusion/tree/main/datafusion/sqllogictest). If we have those properties implemented in Rust, enhancing existing `sqllogictest`s would be easier.
Now only 3 simple test oracles have been implemented, and I believe there are around 10 novel SQL testing algorithms have been proposed, one example is `Equivalent Expression Transformation`(https://www.usenix.org/conference/osdi24/presentation/jiang). EET I think is very suitable to enhance existing SQL tests.
Overall, I think it's a good time to switch to native rust implementation before implementing more complex testing algorithms.
- **Simplier implementation**
One thing we simplify is now we don't have to use JDBC to connect the testing framework and DataFusion core, configuration fuzzing can be easier, and there might be some existing code we can reuse.
- **More contributors**
DataFusion ecosystem is mainly in Rust, IMO it would be easier to find people to help if the testing framework is written in Rust instead of Java.

[^1]: https://github.com/apache/datafusion/issues/11030 has a minimal example for testing oracle `NoREC`

### Describe the solution you'd like

See https://github.com/apache/datafusion/issues/11030 for the background
- Generate random query to a datafusion internal data structure (perhaps `Statement`)
- Implement testing oracles. In order to support also running with existing SQL tests, we might want:
- For query mutation: mutate the query's internal representation, and convert it back to SQL string
- For property check: implement by extending `sqllogictest` framework

### Describe alternatives you've considered

The project idea proposed above I believe is advanced in terms of difficulty.
A medium level project can be extending existing implementation with more SQL/types support, and implement more test oracles, also with better CI integration.
I'm also open to a fully LLM-based alternative, however I don't have a very good idea so far. Reference https://fuzz4all.github.io/

### Additional context

_No response_

Start by reading the existing Java datafusion-sqlancer implementation and the background in issue #11030, then inspect DataFusion's datafusion/sqllogictest framework. Define how random queries, Statement mutations, SQL conversion, and property checks should fit together. Done means a Rust implementation supports the proposed testing oracles and can also enhance existing sqllogictests.

Written by the indexing model from the issue text.