Quantum view on contextual logic of composite intelligent devices
B. Verkin Institute for Low Temperature Physics and Engineering of the NationalAcademy of Sciences of Ukraine 47, Lenin Ave., Kharkov 61103, Ukraine.(Dated: December 11, 2013)Based on the ideas of quantumtheory of open systems (QTOS) we propose the consistent approachto study probabilistic many-valued propositional logic of intelligent devices that are composed fromseparate but interconnected logical units.In this preliminary communication we consider only thesimplest example of such systems,namely, four- valued probabilistic logical device composed of twological subsystems.We demonstrate that similar devices can generate two classes of probabilisticpropositions :1) decomposable propositions , which in fact are equivalent to certain ordered pairof propositions in device subsystems and 2) indecomposable propositions which are connected withinherent logical interaction between device units.The indecomposable propositions are undoubtedlyof greatest interest since they , as shown in the paper, provide powerful additional logical resourcecompared to standard parallel processing in composite intelligent systems. The contextual logicof composite devices proposed in this paper, as we believe, can be also used for analysis of highlyorganized systems in cognitive sciences speciﬁcally in neuropsychology and linguistics.