
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 equation $\frac {y^{2}}{5-t} + \frac {x^{2}}{t-1} = 1$ represents an ellipse with foci on the $y$-axis; proposition $B$: The real number $t$ makes the inequality $t^{2}-3t-4 < 0$ true.  
$(1)$ If the eccentricity of the ellipse in proposition $A$ is $\frac {\sqrt {6}}{3}$, find the value of the real number $t$;  
$(2)$ What condition is proposition $A$ for proposition $B$?

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