
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 proposition A: The solution set of the inequality $x^{2}+(a-1)x+a^{2} > 0$ with respect to $x$ is $\mathbb{R}$; and proposition B: The function $y=(2a^{2}-a)^{x}$ is an increasing function. Find the range of values of the real number $a$ when only one of the propositions A or B is true.

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