Let a Toggle Reverse a State
Apply Toggle as a reversal and SetOn as an assignment to On.
About 18 minutes, plus any extended practice
Supplied materials
- Paper and pencil; answers may also be spoken or typed.
- All cases, labels, numbers and rules are supplied on this page. No real account, private information or purchase is needed.
Learn the idea
A toggle switches between two states. Unlike a command that always turns something on, a toggle depends on the current state. In our display model Toggle reverses sound On/Off, while SetOn always chooses On. Trace the event meaning and initial state together.
Apply Toggle as a reversal and SetOn as assignment to On. Repeated SetOn is not repeated Toggle. A final-state prediction needs the starting value and a defined handler for every event; missing rules remain unknown.
Use this supplied case: Toggle. Start sound=Off. What is the final state? Use the details in this example. Say which detail helped you choose. This pretend example does not tell us how every real system works.
- Follow the worked example one step at a time. Say or draw what happens.
- Apply Toggle as a reversal and SetOn as an assignment to On.
- Say which detail makes the example answer fit. Pick another answer and say why it does not fit.
- Try the question and practice questions. Read the rule again if your answer does not match the explanation.
See the method in action
Start with sound=On and request Toggle, Toggle, SetOn, Toggle. Trace On→Off→On→On→Off: Toggle reverses the current state, while SetOn writes On. Now start On and request SetOn, SetOn: On→On→On. That repeated assignment does not reverse state. These traces use the stated start and defined operations; a missing start or an event without a stated handler cannot establish a complete final-state prediction.
Check your reasoning
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Helpful tips
- Apply Toggle as a reversal and SetOn as an assignment to On.
- Repeated SetOn does not have the same effect as repeated Toggle.
See the answer and explanation
Off
Start with sound=Off. The first Toggle changes Off→On; the second changes On→Off; a third would return On. SetOn instead writes On regardless of the earlier state, so SetOn followed by SetOn ends On. For SetOn followed by Toggle, the trace is Off→On→Off. The starting state and operation are both needed to predict the final state; a command name alone does not show its effect. For the supplied request Toggle,Toggle. Start sound=Off. What is the final state? the trace ends Off.
Take it further
Start On; Toggle; SetOn; Toggle. Expected: On→Off→On→Off. Repeated SetOn would instead remain On.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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