A Method for Constructing a Complex Hierarchical Logic (HS-Logic)

The paper proposes a method for constructing a complex hierarchical propositional logic, denoted as complex HS-logic. It combines two logics - real L
_r
with two states and a new imaginary logic L
_i
is introduced with two other states{i,
_¬
i} not equivalent to {T, F}. Two additional requirements build a complex logic L
_c
with four unequal to each other states {T, F, i,
_¬
i}.