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arXiv · 1611.06735

Non-deterministic Semantics for Dynamic Topological Logic

David Fernández-Duque
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Abstract

Dynamic Topological Logic ($\mathcal{DTL}$) is a combination of $\mathcal{S}${\em 4}, under its topological interpretation, and the temporal logic $\mathcal{LTL}$ interpreted over the natural numbers. $\mathcal{DTL}$ is used to reason about properties of dynamical systems based on topological spaces. Semantics are given by dynamic topological models, which are tuples $\left $, where $\left $ is a topological space, $f$ a function on $X$ and $V$ a truth valuation assigning subsets of $X$ to propositional variables.

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David Fernández-Duque. 2016-11-21. Non-deterministic Semantics for Dynamic Topological Logic. https://arxiv.org/abs/1611.06735

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