
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
Given vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ satisfying $|\overrightarrow{b}| = 4$, and the projection of $\overrightarrow{a}$ on the direction of $\overrightarrow{b}$ is $\frac{1}{2}$, then the value of $\overrightarrow{a} \cdot \overrightarrow{b}$ is ____.  
A) $-2$  
B) $2$  
C) $0$  
D) $\frac{1}{2}$

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