COS3761
Assignment 3
(COMPLETE
ANSWERS) 2025
For more assistance contact:
100% TRUSTED WORKINGS, EXPLANATIONS & SOLUTIONS
, COS3761 Assignment 3 (COMPLETE
ANSWERS) 2025
QUESTION 1 In which world of the Kripke model in Figure
1 is the formula ◊ p □ q true? Option 1: world x₁ Option
2: world x₂ Option 3: world x₃, Option 4: Option 1 and
Option 3 are true.
To answer Question 1 accurately, I need to see Figure 1 that shows the Kripke
model with the worlds x1,x2,x3x_1, x_2, x_3x1,x2,x3, their accessibility relations,
and the truth values of propositions ppp and qqq in each world.
Since the figure isn't provided in your message, I can give you general guidelines
on how to determine in which world the formula ◊p∧□q\Diamond p \land \Box
q◊p∧□q is true:
Understanding the Formula ◊p∧□q\Diamond p \land \Box q◊p∧□q
◊p\Diamond p◊p means "possibly p" – i.e., there exists at least one
accessible world where ppp is true.
□q\Box q□q means "necessarily q" – i.e., in all accessible worlds, qqq is
true.
So, for a world xxx in the Kripke model, the formula ◊p∧□q\Diamond p \land \Box
q◊p∧□q is true if and only if:
1. There exists at least one world accessible from xxx where ppp is true, and
2. In all worlds accessible from xxx, qqq is true.
What I Need from You
Please upload or describe Figure 1, including:
The worlds x1,x2,x3x_1, x_2, x_3x1,x2,x3,
Which worlds are accessible from which (the accessibility relation),
The truth values of ppp and qqq in each world.
Assignment 3
(COMPLETE
ANSWERS) 2025
For more assistance contact:
100% TRUSTED WORKINGS, EXPLANATIONS & SOLUTIONS
, COS3761 Assignment 3 (COMPLETE
ANSWERS) 2025
QUESTION 1 In which world of the Kripke model in Figure
1 is the formula ◊ p □ q true? Option 1: world x₁ Option
2: world x₂ Option 3: world x₃, Option 4: Option 1 and
Option 3 are true.
To answer Question 1 accurately, I need to see Figure 1 that shows the Kripke
model with the worlds x1,x2,x3x_1, x_2, x_3x1,x2,x3, their accessibility relations,
and the truth values of propositions ppp and qqq in each world.
Since the figure isn't provided in your message, I can give you general guidelines
on how to determine in which world the formula ◊p∧□q\Diamond p \land \Box
q◊p∧□q is true:
Understanding the Formula ◊p∧□q\Diamond p \land \Box q◊p∧□q
◊p\Diamond p◊p means "possibly p" – i.e., there exists at least one
accessible world where ppp is true.
□q\Box q□q means "necessarily q" – i.e., in all accessible worlds, qqq is
true.
So, for a world xxx in the Kripke model, the formula ◊p∧□q\Diamond p \land \Box
q◊p∧□q is true if and only if:
1. There exists at least one world accessible from xxx where ppp is true, and
2. In all worlds accessible from xxx, qqq is true.
What I Need from You
Please upload or describe Figure 1, including:
The worlds x1,x2,x3x_1, x_2, x_3x1,x2,x3,
Which worlds are accessible from which (the accessibility relation),
The truth values of ppp and qqq in each world.
