Semantics of the Probabilistic Typed Lambda Calculus : Markov Chain Semantics, Termination Behavior, and Denotational Semantics

Language: English

Published by Springer Berlin Heidelberg, 2018

3662568721 / 9783662568729

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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 distributionsas domains.The work mostly appeals to researchers in theoretical computer science focusing on probabilistic programming, randomized algorithms, or programming language theory.

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Title
Semantics of the Probabilistic Typed Lambda Calculus : Markov Chain Semantics, Termination Behavior, and Denotational Semantics
Author
Dirk Draheim
Publisher
Springer Berlin Heidelberg
Publication year
2018
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3662568721
ISBN 13
9783662568729
Item weight
353 grams
Dimensions
235x155x13 mm

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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Item30 to 40 business days7 to 14 business days
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