Connectives Advanced Quiz 5
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1. If a connective is truth-functional, the truth value of its compound statement is uniquely determined by what?
Syntax length
Components
Proof tree
2. Which connective behaves as the logical intersection when maps are projected onto Kripke frames?
Conjunction
Disjunction
Implication
3. Under boolean function evaluation, how many inputs must be true for an n-ary parity function (XOR sequence) to return True?
Even number
All inputs
Odd number
4. In Lukasiwcz multi-valued logic systems, connectives evaluate truth along which numerical domain?
Integers
Interval [0,1]
Imaginary plane
5. What operational property ensures that a truth function can be collapsed entirely into a simpler normal form using prime implicants?
Minimization
Expansion
Intersection
6. Which specific logical operator represents the exact relational dual of a conditional statement under full variable transposition?
Conjunction
Converseness
Disjunction
7. Under the Curry-Howard correspondence, standard logical connectives map directly to what structures in type theory?
Type constructors
Variable names
Function names
8. Which term defines a n-ary connective that yields True if and only if exactly one of its operands evaluates to True?
Disjunction
Tautology
One-hot
9. The set containing only the conditional operator and the falsum constant ($\bot$) achieves what functional status?
Asymmetric
Complete
Empty
10. What visual representation maps all possible connective operations across a Hypercube matrix for hardware logic checking?
Karnaugh map
Truth table
Venn diagram
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