Asked by Tahmeed Khondoker on May 09, 2024
Verified
Which rule is used in the following inference? (D⋅F) ⋅(K∨L) K∨L\frac { ( \mathrm { D } \cdot \mathrm { F } ) \cdot ( \mathrm { K } \vee \mathrm { L } ) } { \mathrm { K } \vee \mathrm { L } }K∨L(D⋅F) ⋅(K∨L)
A) Simp
B) Conj
C) Add
D) DS
E) HS
Simp
Informal slang, sometimes negative, referring to someone overly subservient to someone else without reciprocation, or excessively valuing someone who does not value them in return.
Conj
A shortened term for conjunction, referring to a compound sentence formed with the word "and" to connect clauses, propositions, or terms.
- Understand and implement principles of simplification in logical discussions.
Verified Answer
MC
Matthew CallasMay 11, 2024
Final Answer :
A
Explanation :
The rule used is Simplification (Simp), which allows one to infer any of the conjuncts from a conjunction. In this case, from (D⋅F)⋅(K∨L)(D \cdot F) \cdot (K \vee L)(D⋅F)⋅(K∨L) , the rule infers K∨LK \vee LK∨L , effectively simplifying the expression by removing the conjunction with D⋅FD \cdot FD⋅F .
Learning Objectives
- Understand and implement principles of simplification in logical discussions.