Implement recursion operators in codex_recursion.py

[blackboxprogramming]

Description

The codex_recursion.py file in the Lucidia project defines placeholder functions such as contradiction_operator, combine_operator, and intersect_operator that currently return None or default values【296630410418369†L17-L25】. These functions are meant to support recursion and reasoning but lack implementations.

Proposed work

• Implement contradiction_operator(statement1, statement2) to detect contradictions between two ideas, perhaps leveraging the ContradictionAgent for analysis.
• Implement combine_operator(ideas) to merge multiple ideas into a coherent summary or plan.
• Implement intersect_operator(set_a, set_b) to find overlapping information between sets of ideas.
• Implement sort_ideas_by_recursion(ideas) to sort ideas based on recursion depth or complexity.
• Add unit tests that verify each operator produces expected outputs for sample inputs.
• Update docstrings to explain the purpose and expected behaviour of each function.

Acceptance criteria

• The functions return meaningful results rather than placeholders.
• Running the test suite (e.g., pytest) confirms that the new operators behave correctly.
• Code comments and docstrings describe the algorithms used.