
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 propositions $p$ and $q$:
- Proposition $p$: The equation $x^{2}-mx-2=0$ about $x$ has a solution when $x \in [0, 1]$.
- Proposition $q$: The function $f(x) = \log _{2}(x^{2}-2mx+ \frac {1}{2})$ is monotonically increasing when $x \in [1, +\infty)$.

If the negation of proposition $p$ (denoted as "$\lnot p$") is true, and "$p \lor q$" is a true proposition, then the range of values for the real number $m$ is $\_\_\_\_\_\_\_\_$.

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