Cantitate/Preț
Produs

Temporal Type Theory: A Topos-Theoretic Approach to Systems and Behavior: Progress in Computer Science and Applied Logic, cartea 29

Autor Patrick Schultz, David I. Spivak
en Limba Engleză Hardback – 11 feb 2019
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. 

The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action.  

Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource.  It can also serve as a supplemental text for a specialized graduate topics course. 
Citește tot Restrânge

Din seria Progress in Computer Science and Applied Logic

Preț: 69218 lei

Preț vechi: 84413 lei
-18% Nou

Puncte Express: 1038

Preț estimativ în valută:
13252 14358$ 11066£

Carte tipărită la comandă

Livrare economică 12-26 decembrie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783030007034
ISBN-10: 3030007030
Pagini: 205
Ilustrații: VIII, 235 p. 67 illus., 7 illus. in color.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.54 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Progress in Computer Science and Applied Logic

Locul publicării:Cham, Switzerland

Cuprins

Introduction.- The Interval Domain.- Translation Invariance.- Logical Preliminaries.- Axiomatics.- Semantics and Soundness.- Local Numeric Types and Derivatives.- Applications.- Appendices.- Bibliography.- Index.

Textul de pe ultima copertă

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. 

The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These resultsare then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action.  

Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource.  It can also serve as a supplemental text for a specialized graduate topics course. 

Caracteristici

Describes a new approach, developed by the authors, for proving properties about the behaviors of systems using temporal logic Review of the prerequisite material included where needed in order to make a difficult topic more accessible A case study involving aircraft separation illustrates a real-world application of temporal type theory