It takes the average reader 3 hours and 44 minutes to read Semantics of the Probabilistic Typed Lambda Calculus by Dirk Draheim
Assuming a reading speed of 250 words per minute. Learn more
This book takes a foundational approach to the semantics of probabilistic programming. It elaborates a rigorous Markov chain semantics for the probabilistic typed lambda calculus, which is the typed lambda calculus with recursion plus probabilistic choice. The book starts with a recapitulation of the basic mathematical tools needed throughout the book, in particular Markov chains, graph theory and domain theory, and also explores the topic of inductive definitions. It then defines the syntax and establishes the Markov chain semantics of the probabilistic lambda calculus and, furthermore, both a graph and a tree semantics. Based on that, it investigates the termination behavior of probabilistic programs. It introduces the notions of termination degree, bounded termination and path stoppability and investigates their mutual relationships. Lastly, it defines a denotational semantics of the probabilistic lambda calculus, based on continuous functions over probability distributions as domains. The work mostly appeals to researchers in theoretical computer science focusing on probabilistic programming, randomized algorithms, or programming language theory.
Semantics of the Probabilistic Typed Lambda Calculus by Dirk Draheim is 218 pages long, and a total of 56,244 words.
This makes it 74% the length of the average book. It also has 69% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 7 minutes to read Semantics of the Probabilistic Typed Lambda Calculus aloud.
Semantics of the Probabilistic Typed Lambda Calculus 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.
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