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It is introduced an immune dynamic  n -valued Łukasiewicz logic    $$ID{\L }_n$$  I D Ł n on the base of  n -valued Łukasiewicz logic    $${\L }_n$$  Ł n and corresponding to it immune dynamic    $$MV_n$$  M V n -algebra (   $$IDL_n$$  I D L n -algebra),    $$1&lt; n &lt; \omega $$  1 &lt; n &lt; ω , which are algebraic counterparts of the logic, that in turn represent two-sorted algebras    $$(\mathcal {M}, \mathcal {R}, \Diamond )$$  ( M , R , ◊ ) that combine the varieties of    $$MV_n$$  M V n -algebras    $$\mathcal {M} = (M, \oplus , \odot , \sim , 0,1)$$  M = ( M , ⊕ , ⊙ , ∼ , 0 , 1 ) and regular algebras    $$\mathcal {R} = (R,\cup , ;, ^*)$$  R = ( R , ∪ , ; , ∗ ) into a single finitely axiomatized variety resembling  R -module with “scalar” multiplication    $$\Diamond $$  ◊ . Kripke semantics is developed for immune dynamic Łukasiewicz logic    $$ID{\L }_n$$  I D Ł n with application in immune system.

Dynamic Łukasiewicz logic and its application to immune system