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Editorial: Algebraic and Coalgebraic Logic Corner

机译:社论:代数和合并逻辑逻辑角

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摘要

Coalgebras are rapidly gaining ground as fundamental structures for modelling the concept of state-based dynamics, where typically, a state of affairs can be observed and modified. Of clear and even defining importance in the study of such evolving systems is the concept of behaviour and related notions such as invariance and observational (in)distinguishability. The emergence of Universal Coalgebra as a general theory of state-based systems explains the increasing interest in the development and study of languages and deductive systems for specifying and reasoning about behaviour at a coalgebraic level of generality. Many of these coalgebraic logics share or generalize interesting features of modal logics, and as a consequence, Coalgebraic Logic is not only the natural meeting ground of Logic and Coalgebra, but also an exciting new application area of modal logic.
机译:作为用于建模基于状态的动力学概念的基本结构,Coagebras正在迅速普及,其中通常可以观察和修改事务状态。在研究这种不断发展的系统中,至关重要的是行为的概念以及相关的概念,例如不变性和可辨别性。作为基于状态系统的一般理论的通用联合代数的出现说明了人们对语言和演绎系统的发展和研究的兴趣日益增加,这些语言和演绎系统用于在通用性的代数级上确定和推理行为。这些合并逻辑中的许多逻辑共享或概括了模态逻辑的有趣特征,因此,Coalgebraic Logic不仅是Logic和Coalgebra的天然交汇地,而且是模态逻辑令人兴奋的新应用领域。

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  • 来源
    《Journal of logic and computation》 |2009年第2期|p.303|共1页
  • 作者

    Yde Venema;

  • 作者单位

    Institute for Logic, Language and Computation, University of Amsterdam;

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  • 正文语种 eng
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