Semantics of the Probabilistic Typed Lambda Calculus

Semantics of the Probabilistic Typed Lambda Calculus

Author: Dirk Draheim

Publisher: Springer

Published: 2017-02-28

Total Pages: 222

ISBN-13: 364255198X

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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.


Programming Languages and Systems

Programming Languages and Systems

Author: Peter Müller

Publisher: Springer Nature

Published: 2020-04-17

Total Pages: 772

ISBN-13: 3030449149

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This open access book constitutes the proceedings of the 29th European Symposium on Programming, ESOP 2020, which was planned to take place in Dublin, Ireland, in April 2020, as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020. The actual ETAPS 2020 meeting was postponed due to the Corona pandemic. The papers deal with fundamental issues in the specification, design, analysis, and implementation of programming languages and systems.


ECOOP - Object-Oriented Programming

ECOOP - Object-Oriented Programming

Author: Erik Ernst

Publisher: Springer

Published: 2007-08-13

Total Pages: 637

ISBN-13: 3540735895

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This book constitutes the refereed proceedings of the 21st European Conference on Object-Oriented Programming, ECOOP 2007, held in Berlin, Germany in July/August 2007. The 25 revised full papers, presented together with 3 invited talks were carefully reviewed and selected from a total of 135 final submissions. The papers are organized in topical sections on types, runtime implementation, empirical studies, programs and predicates, language design, inheritance and derivation, aspects, as well as language about language.


Haskell 98 Language and Libraries

Haskell 98 Language and Libraries

Author: Simon Peyton Jones

Publisher: Cambridge University Press

Published: 2003-04-10

Total Pages: 280

ISBN-13: 9780521826143

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Haskell is the world's leading lazy functional programming language, widely used for teaching, research, and applications. The language continues to develop rapidly, but in 1998 the community decided to capture a stable snapshot of the language: Haskell 98. All Haskell compilers support Haskell 98, so practitioners and educators alike have a stable base for their work.This book constitutes the agreed definition of Haskell 98, both the language itself and its supporting libraries, and should be a standard reference work for anyone involved in research, teaching, or application of Haskell.


Generative and Transformational Techniques in Software Engineering

Generative and Transformational Techniques in Software Engineering

Author: Ralf Lämmel

Publisher: Springer

Published: 2006-11-02

Total Pages: 476

ISBN-13: 354046235X

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This tutorial book presents an augmented selection of material presented at the International Summer School on Generative and Transformational Techniques in Software Engineering, GTTSE 2005. The book comprises 7 tutorial lectures presented together with 8 technology presentations and 6 contributions to the participants workshop. The tutorials combine foundations, methods, examples, and tool support. Subjects covered include feature-oriented programming and the AHEAD tool suite; program transformation with reflection and aspect-oriented programming, and more.


The Standard ML Basis Library

The Standard ML Basis Library

Author: Emden R. Gansner

Publisher: Cambridge University Press

Published: 2004-04-05

Total Pages: 486

ISBN-13: 9781139451406

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The book provides a description of the Standard ML (SML) Basis Library, the standard library for the SML language. For programmers using SML, it provides a complete description of the modules, types and functions composing the library, which is supported by all conforming implementations of the language. The book serves as a programmer's reference, providing manual pages with concise descriptions. In addition, it presents the principles and rationales used in designing the library, and relates these to idioms and examples for using the library. A particular emphasis of the library is to encourage the use of SML in serious system programming. Major features of the library include I/O, a large collection of primitive types, support for internationalization, and a portable operating system interface. This manual will be an indispensable reference for students, professional programmers, and language designers.


Datatype-Generic Programming

Datatype-Generic Programming

Author: Roland Backhouse

Publisher: Springer Science & Business Media

Published: 2007-11-30

Total Pages: 379

ISBN-13: 3540767851

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This tutorial book presents six carefully revised lectures given at the Spring School on Datatype-Generic Programming, SSDGP 2006. This was held in Nottingham, UK, in April 2006. It was colocated with the Symposium on Trends in Functional Programming (TFP 2006), and the Conference of the Types Project (TYPES 2006). All the lectures have been subjected to thorough internal review by the editors and contributors, supported by independent external reviews.