Four Equivalent Relations between MCP and CP and Its Implication in Quantum and Information Theory

Table 4

Two basic non-truth functional-e H₁₁ and H₁₂ used in CPH.

	CP primitive notation	CPH primitive notation 1	CPH primitive notation 2	MCP primitive notation
[1]	p0, p1, p2, …, pn, …, n ∈ N	p, H	p, H	p0, p1, p2, …pn, …, n ∈ N
[2]	¬, ∧;	¬, ∧;	H11; H12^p, H12^Hp, H12^HHp,; ... H12^H..Hp., .. n ∈ N	¬, ∧; □
[3]	(,)	(,)	(,)	(,)