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Temporal Type Theory
A Topos-Theoretic Approach to Systems and Behavior
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783030007041
Veröffentl:
2019
Seiten:
235
Autor:
Patrick Schultz
Serie:
29, Progress in Computer Science and Applied Logic
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models.
Introduction.- The Interval Domain.- Translation Invariance.- Logical Preliminaries.- Axiomatics.- Semantics and Soundness.- Local Numeric Types and Derivatives.- Applications.- Appendices.- Bibliography.- Index.
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