Support execute for prover

[prajwolrg]

Description

Type of Change

• Bug fix (non-breaking change which fixes an issue)
• New feature/Enhancement (non-breaking change which adds functionality or enhances an existing one)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• Documentation update
• Refactor
• New or updated tests
• Dependency Update

Notes to Reviewers

Checklist

• I have performed a self-review of my code.
• I have commented my code where necessary.
• I have updated the documentation if needed.
• My changes do not introduce new warnings.
• I have added tests that prove my changes are effective or that my feature works.
• New and existing tests pass with my changes.

Related Issues

[github-actions]

Commit: e0161e5

SP1 Execution Results

program	cycles	success
fibonacci	1,187	✅
sha2_chain	8,034	✅
schnorr_sig_verify	4,457,633	✅

RISC0 Execution Results

program	cycles	success
fibonacci	2,541	✅
sha2_chain	8,274	✅
schnorr_sig_verify	5,014,158	✅