Abstract:
In this paper, we examine Kubyshkina & Zaitsev's Logic of Rational Agent (LRA) from a proof-theoretic point of view. We present three natural deduction systems for LRA which differ from Kubyshkina & Zaitsev's axiomatization of LRA. Moreover, we introduce a general method for axiomatizing LRA's unary and binary truth-functional extensions via natural deduction systems. This method is Kooi & Tamminga's correspondence analysis which we adapt for LRA.
Keywords:many-valued logics, generalized truth values, correspondence analisys, natural deduction systems.