Please answer the following Discrete Mathmatics problems. Thanks in advance for

Question

Please answer the following Discrete Mathmatics problems. Thanks in advance for your hard work! :D

A = v{} B = v{p^q} C = v{p^tilde q} D = v{tilde p^q} E = v{tilde p^tilde q} H = v{p^q, p^tilde q} L = v{p^q, tilde p^q} M = v{p^q, tilde p^tilde q} Y = v{p^q, p^tilde q, p^q, tilde p^tilde q} W = v{p^tilde q, tilde p^q, tilde p^tilde q} U = v{p^q, tilde p^q, tilde p^tilde q} T = v{p^q, p^tilde q, tilde p^tilde q} S = {p^q, p^tilde q, tilde p^q} R = v{tilde p^q, tilde p^tilde q} P = v{p^tilde q, tilde p^tilde q} N = v{p^tilde q, tilde p^q} (p rightarrow q) = ? A B C D E H L M N P R S T U W Y (p rightarrow tilde q) = ? A B C D E H L M N P R S T U W Y (tilde p rightarrow q) = ? A B C D E H L M N P R S T U W Y (tilde p rightarrow tilde q) = ? A B C D E H L M N P R S T U W Y (p uparrow q) = ? A B C D E H L M N P R S T U W Y (p uparrow tilde q) = ? A B C D E H L M N P R S T U W Y (tilde p uparrow q) = ? A B C D E H L M N P R S T U W Y (tilde p uparrow tilde q) = ? A B C D E H L M N P R S T U W Y (1 rightarrow q) = ? A B C D E H L M N P R S T U W Y (q rightarrow q) = ? A B C D E H L M N P R S T U W Y (tilde q rightarrow tilde q) = ? A B C D E H L M N P R S T U W Y (p doubleheadarrow q) = ? A B C D E H L M N P R S T U W Y (p doubleheadarrow tilde q) = ? A B C D E H L M N P R S T U W Y (p leftarrow q) = ? A B C D E H L M N P R S T U W Y (p leftarrow tilde q) = ? A B C D E H L M N P R S T U W Y (tilde p leftarrow q) = ? A B C D E H L M N P R S T U W Y (tilde p leftarrow tilde q) = ? A B C D E H L M N P R S T U W Y (p downarrow q) = ? A B C D E H L M N P R S T U W Y (p downarrow tilde q) = ? A B C D E H L M N P R S T U W Y (tilde p downarrow q) = ? A B C D E H L M N P R S T U W Y (tilde p downarrow tilde q) = ? A B C D E H L M N P R S T U W Y (p leftarrow 1) = ? A B C D E H L M N P R S T U W Y (0 leftarrow p) = ? A B C D E H L M N P R S T U W Y (q downarrow q) = ? A B C D E H L M N P R S T U W Y (tilde q downarrow tilde q) = ? A B C D E H L M N P R S T U W Y (p CirclePlus q) = ? A B C D E H L M N P R S T U W Y (p CirclePlus tilde q) = ? A B C D E H L M N P R S T U W Y (p CirclePlus p) = ? A B C D E H L M N P R S T U W Y (p CirclePlus tilde p) = ? A B C D E H L M N P R S T U W Y

Explanation / Answer

p -> q

if p true then q true

so either q is true or not p is true

so equivalent to not p or q

equivalent to U

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