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Please use python to write the code. Thanks Create a program for the following: 1 . Prove ( true ) or disprove ( false )
Please use python to write the code. Thanks
Create a program for the following:
Prove true or disprove false the following assertions for the domain of
For the universal quantifier, show at least one of the
numbers in the domain that disproves the assertion. For the existential
quantifier, show at least one number in the domain that proves the assertion:
ax Px where Px is the statement x
bx Px where Px is the statement x
cx Px Qx where Px is the statement x and where Qx is the statement x
dx Px Qx where Px is the statement x and where Qx is the statement x
e Prove De Morgans Law for the Existential Quantifier where Px is the statement x
f Prove De Morgans Law for the Universal Quantifier where Px is the statement x
Find the following truth values for Pxy: x y where the domain of x and y is Show the values in the domain that either make the assertions true or false.
axyPxy
bxyPxy
cyxPxy
dxyPxy
eyxPxy
fxyPxy
Print out a line between each of the above indicating which number your program is answering, egb
Remember:
o To prove requires showing it is true for ALL values in the domain; to
prove requires showing it is true for only ONE value in the domain; to
disprove requires showing it is false for ONE value in the domain; to
disprove requires showing it is false for ALL values in the domain.
o To prove Laws, requires showing both sides are the same for the domain
either both TRUE or both FALSE; and given Px you have to figure out
what Px is eg if Px x y then Px x y
Provide comments that explain what each line of code is doing
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