"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-06 02:09:47.005624
"""

```python
class ReasoningEngine:
    """
    A simple reasoning engine that solves a specific problem with limited reasoning sophistication.
    
    This engine is designed to solve a problem where we need to identify patterns in a sequence of numbers,
    but it only supports a fixed set of operations due to its limited reasoning capabilities.

    Example usage:
    -------------
    >>> engine = ReasoningEngine()
    >>> engine.process_sequence([1, 2, 3, 4])
    'Arithmetic sequence'
    >>> engine.process_sequence([1, 4, 9, 16])
    'Square sequence'
    """

    def __init__(self):
        self.operations = {
            "arithmetic": lambda x: all(x[i] - x[i-1] == x[1] - x[0] for i in range(2, len(x))),
            "square": lambda x: all(abs(x[i]**0.5 - int(x[i]**0.5)) < 1e-6 for i in range(len(x)))
        }

    def process_sequence(self, sequence: list) -> str:
        """
        Process a given sequence to identify the pattern based on predefined operations.
        
        Parameters:
        sequence (list): A list of numbers representing the sequence.
        
        Returns:
        str: The identified pattern or 'No recognizable pattern' if none found.
        """
        for operation_name, operation in self.operations.items():
            if operation(sequence):
                return f'{operation_name} sequence'
        return 'No recognizable pattern'


# Example usage
if __name__ == "__main__":
    engine = ReasoningEngine()
    print(engine.process_sequence([1, 2, 3, 4]))  # Output: Arithmetic sequence
    print(engine.process_sequence([1, 4, 9, 16]))  # Output: Square sequence
```