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The aim of this paper is to present a very simple set of conditions,necessary for the management of knowledge of a poset $T$ of two agents, whichare partially ordered by the capabilities available in the system. We build upa formal system and we elaborate suitable semantic models in order to deriveinformation from the poset. The system is related to three-valued Heytingalgebras with Boolean operators.

Algebraic and relational models for a system based on a poset of two elements