ALGEBRA ASSIGNMENT 2Algebra AssignmentExercise 1∆∗¿{α:α∉∆}α=γ1V...Vγkγi=βi1⩑...⩑γkIs complete because αn→αforallvalues−∞≤n≥∞ using the connective symbols (⩑,V)Moreover, it is considered not closed under tautological implications because ∆∗≠∆Exercise 2It is not a complete Boolean algebra because it does not have truth values; since, f=falsity and T=Truth. Therefore, only false values are present.Exercise 3∩k'∁βEβ={(a,b)(b,a)(b,c)(c,c)}k=A1,A2,...Ankβ=mod(β)
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