had good intentions and the highest hopes.

$($b$)$ The card must either have the same color as the previous card or the same number

as the previous card.

$($c$)$ I will eat my tie if the Cubs win the World Series.

$($d$)$ It smelled funny, but he ate it anyway.

$($e$)$ All prizes will be awarded provided that enough eligible entries are received.

$($f$)$ Participants were not timed on this task; however, most finished in less than $8$

minutes.

$($g$)$ The image is recovered if and only if the receiver has an authenticated secret key.

$($h$)$ The printer can hold a black ink cartridge or a color cartridge, but not both.

$($i$)$ Changing batteries is a tedious task if the nodes are deployed in remote and$/$or

hostile environments.

Hint: You$$ll need three separate atomic propositions to fully translate this sentence.

$($j$)$ The people will give up their arms only when the tyrant resigns and we get our

money back.

Hint: You$$ll need three separate atomic propositions to fully translate this sentence.

$($k$)$ The existence of a Lyapunov function is a necessary and sufficient condition for the

stability of the system.

Hint: For this proposition $($and the following three propositions$),$ you$$ll need to do

some paraphrasing to ensure that your atomic propositions are complete sentences.

$($l$)$ Passing the Turing Test is a sufficient condition for a being$$s intelligence.

$($m$)$ The absence of antibodies in the subject$$s body implies that they are not susceptible

to infection.

$($n$)$ Disciplinary knowledge and organizational skills are necessary conditions for effec$-$

tive teaching. Hint: You should have three separate atomic propositions here.

$($o$)$ Bonus: Your meal comes with one of the following: rice, mashed potatoes, or fried

plantains.

Hint: This one is trickier than you might think. I recommend testing your answer

out by building a truth table.