this is logic/formal logic.

Question 4 At the world track and field games some people are musing about the performances of the German, Danish, Canadian, and French teams. Consider the following formalization key: : The French team will win a gold medal. G: The German team will win a gold medal. D: The Danish team will win a gold medal. C. The Canadian team will win a gold medal. S: The star German Runner is disqualified. R: It rains during most of the games. B: The Danish team will boycott the games. Provide formulas of propositional logic that formalize each of the following statements (independently) using the formalization key above: (You can check your answer for sub-questions 1, 3, and 5 before submitting; just hit return.) A1.4.1 Exactly one team will not win a gold medal. Submit Exactly one team will not win a gold medal. 2 pts 2 pts A1.4.2 At most two of the teams will win a gold meda Submit At most two of the teams will win a gold medal. A1.4.3 2 pts The French team will win gold only if either Submit The French team will win gold only if either the Danes boycott or the Star German runner is disqualified from, the games. A1.4.4 2 pts Unless the star German runner is disqualified Submit Unless the star German runner is disqualified, the Danes will boycott the games. A1.4.5 2 pts The Danes will win gold unless it rains for m Submit The Danes will win gold unless it rains for most of the games, in which case they won't, however, the other teams will win gold. A1.4.6 2 pts Only the Germans will win a gold medal, if th Submit Only the Germans will win a gold medal, if there there isn't much rain and either their Star runner isn't disqualified or the Danes boycott the games. not -,, not and A A, &, and or v Vil, or if then - ->, >, only if if and only if - , , if and only if contradiction 1 !?, universal quantifier A, @ existential quantifier 3 E, 3 Question 4 At the world track and field games some people are musing about the performances of the German, Danish, Canadian, and French teams. Consider the following formalization key: : The French team will win a gold medal. G: The German team will win a gold medal. D: The Danish team will win a gold medal. C. The Canadian team will win a gold medal. S: The star German Runner is disqualified. R: It rains during most of the games. B: The Danish team will boycott the games. Provide formulas of propositional logic that formalize each of the following statements (independently) using the formalization key above: (You can check your answer for sub-questions 1, 3, and 5 before submitting; just hit return.) A1.4.1 Exactly one team will not win a gold medal. Submit Exactly one team will not win a gold medal. 2 pts 2 pts A1.4.2 At most two of the teams will win a gold meda Submit At most two of the teams will win a gold medal. A1.4.3 2 pts The French team will win gold only if either Submit The French team will win gold only if either the Danes boycott or the Star German runner is disqualified from, the games. A1.4.4 2 pts Unless the star German runner is disqualified Submit Unless the star German runner is disqualified, the Danes will boycott the games. A1.4.5 2 pts The Danes will win gold unless it rains for m Submit The Danes will win gold unless it rains for most of the games, in which case they won't, however, the other teams will win gold. A1.4.6 2 pts Only the Germans will win a gold medal, if th Submit Only the Germans will win a gold medal, if there there isn't much rain and either their Star runner isn't disqualified or the Danes boycott the games. not -,, not and A A, &, and or v Vil, or if then - ->, >, only if if and only if - , , if and only if contradiction 1 !?, universal quantifier A, @ existential quantifier 3 E, 3