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 stop ability 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.
Semantics of the Probabilistic Typed Lambda Calculus Markov Chain Semantics, Termination Behavior, and Denotational Semantics Free Download
October 16, 2022
You may also like
CALCULUS MATHEMATICS
Calculus A New Horizon, Combined, 6th Edition by Howard Anton PDF
February 9, 2024
The new Sixth Edition of Anton’s Calculus is a contemporary text that incorporates the best features of calculus reform, yet preserves the main structure...
Precálculo 2ed es adaptable y está diseñado para satisfacer las necesidades de diversos cursos de precálculo. Es un texto integral que abarca más temas que un...
CALCULUS MATHEMATICS
Calculus & Its Applications, 14th Edition by Larry Goldstein PDF
January 8, 2024
Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment