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An $\omega$-Algebra for Real-Time Energy Problems

David Cachera ; Uli Fahrenberg ; Axel Legay.

We develop a $^*$-continuous Kleene $\omega$-algebra of real-time energy functions. Together with corresponding automata, these can be used to model systems which can consume and regain energy (or other types of resources) depending on available time. Using recent results on $^*$-continuous Kleene&nbsp;[&hellip;]

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Sculptures in Concurrency

Uli Fahrenberg ; Christian Johansen ; Christopher A. Trotter ; Krzysztof Ziemiański.

We give a formalization of Pratt's intuitive sculpting process for higher-dimensional automata (HDA). Intuitively, an HDA is a sculpture if it can be embedded in (i.e., sculpted from) a single higher dimensional cell (hypercube). A first important result of this paper is that not all HDA can be&nbsp;[&hellip;]

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