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Semantics of the Probabilistic Typed Lambda Calculus - Markov Chain Semantics, Termination Behavior, and Denotational Semantics (Paperback, Softcover reprint of the original 1st ed. 2017) Loot Price: R3,538
Discovery Miles 35 380
Semantics of the Probabilistic Typed Lambda Calculus - Markov Chain Semantics, Termination Behavior, and Denotational Semantics...

Semantics of the Probabilistic Typed Lambda Calculus - Markov Chain Semantics, Termination Behavior, and Denotational Semantics (Paperback, Softcover reprint of the original 1st ed. 2017)

Dirk Draheim

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Loot Price R3,538 Discovery Miles 35 380 | Repayment Terms: R332 pm x 12*

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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.

General

Imprint: Springer-Verlag
Country of origin: Germany
Release date: May 2018
First published: 2017
Authors: Dirk Draheim
Dimensions: 235 x 155 x 12mm (L x W x T)
Format: Paperback
Pages: 218
Edition: Softcover reprint of the original 1st ed. 2017
ISBN-13: 978-3-662-56872-9
Categories: Books > Computing & IT > General theory of computing > Mathematical theory of computation
Books > Computing & IT > Applications of computing > General
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
Books > Computing & IT > Computer programming > Programming languages > General
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LSN: 3-662-56872-1
Barcode: 9783662568729

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