Temporal Logic

Description: Temporal Logic Quiz
Number of Questions: 15
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Tags: temporal logic mathematical logic mathematics
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Which of the following is a temporal operator in Linear Temporal Logic (LTL)?

  1. $\square$

  2. $\lozenge$

  3. $\circ$

  4. $\Diamond$


Correct Option: B
Explanation:

$\lozenge$ is the temporal operator for 'eventually' in LTL.

What is the dual of the temporal operator $\square$ in LTL?

  1. $\lozenge$

  2. $\circ$

  3. $\Diamond$

  4. $\neg \lozenge$


Correct Option: D
Explanation:

The dual of $\square$ is $\neg \lozenge$.

Which of the following is a valid formula in LTL?

  1. $\square (p \rightarrow q)$

  2. $\lozenge (p \land q)$

  3. $\circ (p \lor q)$

  4. $\Diamond (p \rightarrow q)$


Correct Option: A
Explanation:

$\square (p \rightarrow q)$ is a valid formula in LTL.

What is the semantics of the temporal operator $\circ$ in LTL?

  1. It holds at a state if the formula holds at the next state.

  2. It holds at a state if the formula holds at all future states.

  3. It holds at a state if the formula holds at some future state.

  4. It holds at a state if the formula holds at the previous state.


Correct Option: A
Explanation:

$\circ$ is the temporal operator for 'next' in LTL.

Which of the following is a CTL formula?

  1. $\square (p \rightarrow q)$

  2. $\lozenge (p \land q)$

  3. $\circ (p \lor q)$

  4. $\Diamond (p \rightarrow q)$


Correct Option: D
Explanation:

$\Diamond (p \rightarrow q)$ is a CTL formula.

What is the semantics of the temporal operator $\Diamond$ in CTL?

  1. It holds at a state if the formula holds at the next state.

  2. It holds at a state if the formula holds at all future states.

  3. It holds at a state if the formula holds at some future state.

  4. It holds at a state if the formula holds at the previous state.


Correct Option: C
Explanation:

$\Diamond$ is the temporal operator for 'eventually' in CTL.

Which of the following is a valid formula in CTL?

  1. $\square (p \rightarrow q)$

  2. $\lozenge (p \land q)$

  3. $\circ (p \lor q)$

  4. $\Diamond (p \rightarrow q)$


Correct Option: D
Explanation:

$\Diamond (p \rightarrow q)$ is a valid formula in CTL.

What is the dual of the temporal operator $\square$ in CTL?

  1. $\lozenge$

  2. $\circ$

  3. $\Diamond$

  4. $\neg \lozenge$


Correct Option:
Explanation:

The dual of $\square$ is $\neg \Diamond$.

Which of the following is a temporal operator in Propositional Linear Temporal Logic (PLTL)?

  1. $\square$

  2. $\lozenge$

  3. $\circ$

  4. $\Diamond$


Correct Option: B
Explanation:

$\lozenge$ is the temporal operator for 'eventually' in PLTL.

What is the dual of the temporal operator $\square$ in PLTL?

  1. $\lozenge$

  2. $\circ$

  3. $\Diamond$

  4. $\neg \lozenge$


Correct Option: D
Explanation:

The dual of $\square$ is $\neg \lozenge$.

Which of the following is a valid formula in PLTL?

  1. $\square (p \rightarrow q)$

  2. $\lozenge (p \land q)$

  3. $\circ (p \lor q)$

  4. $\Diamond (p \rightarrow q)$


Correct Option: B
Explanation:

$\lozenge (p \land q)$ is a valid formula in PLTL.

What is the semantics of the temporal operator $\circ$ in PLTL?

  1. It holds at a state if the formula holds at the next state.

  2. It holds at a state if the formula holds at all future states.

  3. It holds at a state if the formula holds at some future state.

  4. It holds at a state if the formula holds at the previous state.


Correct Option: A
Explanation:

$\circ$ is the temporal operator for 'next' in PLTL.

Which of the following is a CTL formula?

  1. $\square (p \rightarrow q)$

  2. $\lozenge (p \land q)$

  3. $\circ (p \lor q)$

  4. $\Diamond (p \rightarrow q)$


Correct Option: D
Explanation:

$\Diamond (p \rightarrow q)$ is a CTL formula.

What is the semantics of the temporal operator $\Diamond$ in CTL?

  1. It holds at a state if the formula holds at the next state.

  2. It holds at a state if the formula holds at all future states.

  3. It holds at a state if the formula holds at some future state.

  4. It holds at a state if the formula holds at the previous state.


Correct Option: C
Explanation:

$\Diamond$ is the temporal operator for 'eventually' in CTL.

Which of the following is a valid formula in CTL?

  1. $\square (p \rightarrow q)$

  2. $\lozenge (p \land q)$

  3. $\circ (p \lor q)$

  4. $\Diamond (p \rightarrow q)$


Correct Option: D
Explanation:

$\Diamond (p \rightarrow q)$ is a valid formula in CTL.

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