Quantum view on contextual logic of composite intelligent devices

摘要

Based on the ideas of quantum theory of open systems (QTOS) we propose theconsistent approach to study probabilistic many-valued propositional logic ofintelligent devices that are composed from separate but interconnected logicalunits. In this preliminary communication we consider only the simplest exampleof such systems, namely, four- valued probabilistic logical device composed oftwo logical subsystems. We demonstrate that similar devices can generate twoclasses of probabilistic propositions:1) decomposable propositions, which infact are equivalent to certain ordered pair of propositions in devicesubsystems and 2) indecomposable propositions which are connected with inherentlogical interaction between device units. The indecomposable propositions areundoubtedly of greatest interest since they, as shown in the paper, providepowerful additional logical resource compared to standard parallel processingin composite intelligent systems. The contextual logic of composite devicesproposed in this paper, as we believe, can be also used for analysis of highlyorganized systems in cognitive sciences specifically in neuropsychology andlinguistics.