0
Your Cart
0
Your Cart

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.

New item(s) have been added to your cart.

Quantity: 1
Total: $19.99

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

Category Theory for the Sciences Original price was: $49.99.Current price is: $19.99.
View more
Algebraic Geometry: A Problem Solving Approach Original price was: $59.99.Current price is: $19.99.
View more
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology Original price was: $29.99.Current price is: $14.99.
View more
Mathematical Modeling: Models, Analysis and Applications Original price was: $59.99.Current price is: $19.99.
View more
The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs Original price was: $59.99.Current price is: $19.99.
View more
Linear Algebra Done Right (Undergraduate Texts in Mathematics) Original price was: $49.99.Current price is: $19.99.
View more
Mathematics: A Discrete Introduction Original price was: $49.99.Current price is: $19.99.
View more
Calculus For Dummies (For Dummies (Lifestyle)) Original price was: $29.99.Current price is: $14.99.
View more