论文标题
布隆代数的plonka总和的概率：国家，指标和拓扑
Probability over Plonka sums of Boolean algebras: states, metrics and topology
论文作者
论文摘要
本文介绍了参与双质的国家的概念，该品种扮演着代数偏见的弱kleene逻辑的代数对应物，其元素被表示为boolean代数的plonka总和。我们研究了在plonka和表示中（布尔）代数的（布尔）代数表示以及这些代数的直接限制的（布尔）代数的（布尔）代数的概率度量的状态之间的关系。此外，我们研究了参考双质体的完成，作为假学空间以及假学计量学引起的拓扑。
The paper introduces the notion of state for involutive bisemilattices, a variety which plays the role of algebraic counterpart of paraconsistent weak Kleene logic and whose elements are represented as Plonka sum of Boolean algebras. We investigate the relations between states over an involutive bisemilattice and probability measures over the (Boolean) algebras in the Plonka sum representation and, the direct limit of these algebras. Moreover, we study completition of involutive bisemilattices, as pseudometric spaces, and the topology induced by the pseudometric.
