Let A = ( a, b, c, d ) and let ( A, R ) be a posset where R is a Relation on A defined by: ...

Question

Question

Let A = ( a, b, c, d ) and let ( A, R ) be a posset where R is a Relation on A defined by:

R is reflexive

c ≤ d

a ≤ c

a ≤ b

a ≤ d

b ≤ d

Is (A, R) a lattice? If you answer no, give a counterexample. If you answer yes, give a brief justification as to why (no formal proof needed).

Is (A,R) a Boolean algebra? Give a brief justification as to why (no formal proof is needed).

Answer 1

Answer #1

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Answer 2

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