How Long to Read Temporal Type Theory

By Patrick Schultz

How Long Does it Take to Read Temporal Type Theory?

It takes the average reader 3 hours and 59 minutes to read Temporal Type Theory by Patrick Schultz

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Temporal Type Theory?

Temporal Type Theory by Patrick Schultz is 235 pages long, and a total of 59,925 words.

This makes it 79% the length of the average book. It also has 73% more words than the average book.

How Long Does it Take to Read Temporal Type Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 27 minutes to read Temporal Type Theory aloud.

What Reading Level is Temporal Type Theory?

Temporal Type Theory is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Temporal Type Theory?

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