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algebraic lattice binary tree Boolean algebra Boolean expression Boolean function Calculate called colors complement compound proposition connected Consider contains cosets countable cycle defined describe digraph DIJKSTRA'S algorithm elements equivalence classes equivalence relation Euler circuit Euler path EXAMPLE false Figure 5(b Give graph in Figure group G Hamilton circuit Hasse diagram homomorphism identity implies infinite integers inverse isomorphic labeled loop maps Mathematical Induction matrix min-path minimal spanning tree minterm monoid multiplication nonempty notation one-to-one correspondence parallel edges partial order partition permutations poset predicate Principle proof propositional calculus Prove real numbers recursive definition Repeat Exercise rooted tree semigroup SEQ(n Show smallest subgraph subgroup subsemigroup subset Suppose symmetric Theorem tree in Figure true truth table truth values variables vertex vertex sequence vertices weight words write x a y x v y xy'z yz yz