
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Compute \( A(3, 1) \) with the function \( A(m, n) \) defined as:
\[ A(m,n) = \begin{cases} 
n+1 & \text{if } m = 0 \\
A(m-1, 1) & \text{if } m > 0 \text{ and } n = 0 \\
A(m-1, A(m, n-1)) & \text{if } m > 0 \text{ and } n > 0 
\end{cases} \]

Present the answer in LaTex format: \boxed{Your answer}
user