Semantics of the Probabilistic Typed Lambda Calculus PDF Download

Author: Dirk Draheim
Publisher: Springer
ISBN: 364255198X
Category : Computers
Languages : en
Pages : 222

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Book Description
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.

Author: Dirk Draheim
Publisher: Springer
ISBN: 9783642551994
Category : Mathematics
Languages : en
Pages : 211

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Book Description
In its first part, the book analyses symbolic computation involving probabilism from scratch. The book establishes rigorous Markov Chain semantics for the typed lambda calculus with recursion and probabilistic choices. It exploits statistical distributions as domains and defines appropriate denotational semantics for the introduced lambda calculus. It proofs important correspondence theorems between the established operational and denotational semantics. In the second part, we review the power of inductive logics as the foundation for expert reasoning systems.

Author: Alessandra Di Pierro
Publisher: Springer Nature
ISBN: 3030411036
Category : Mathematics
Languages : en
Pages : 300

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Book Description
This Festschrift is in honor of Chris Hankin, Professor at the Imperial College in London, UK, on the Occasion of His 65th Birthday. Chris Hankin is a Fellow of the Institute for Security Science and Technology and a Professor of Computing Science. His research is in cyber security, data analytics and semantics-based program analysis. He leads multidisciplinary projects focused on developing advanced visual analytics and providing better decision support to defend against cyber attacks. This Festschrift is a collection of scientific contributions related to the topics that have marked the research career of Professor Chris Hankin. The contributions have been written to honour Chris' career and on the occasion of his retirement.

Author: Polska Akademia Nauk. Instytut Podstaw Informatyki
Publisher:
ISBN:
Category :
Languages : en
Pages : 14

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Book Description

Author: Pierre-Louis Curien
Publisher: Springer Science & Business Media
ISBN: 3642022723
Category : Computers
Languages : en
Pages : 427

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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Typed Lambda Calculi and Applications, TLCA 2009, held in Brasilia, Brazil in July 2008 in conjunction with RTA 2007, the 19th International Conference on Rewriting Techniques and Applications as part of RDP 2009, the 5th International Conference on Rewriting, Deduction, and Programming. The 27 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 53 submissions. The papers present original research results that are broadly relevant to the theory and applications of typed calculi and address a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.

Author: Sergei Artemov
Publisher: Springer
ISBN: 3319720562
Category : Mathematics
Languages : en
Pages : 378

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Book Description
This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2018, held in Deerfield Beach, FL, USA, in January 2018. The 22 revised full papers were carefully reviewed and selected from 22 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda andcombinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; and other logics in computer science.

Author: Dang Van Hung
Publisher: Springer
ISBN: 3319677292
Category : Computers
Languages : en
Pages : 317

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Book Description
This book constitutes the refereed proceedings of the 14th International Colloquium on Theoretical Aspects of Computing, ICTAC 2017, held in Hanoi, Vietnam, in October 2017. The 17 revised full papers presented together with three invited talks were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on logics; software components and concurrency; automata; SMT solvers and algorithms; and security.

Author: John W.. Gray
Publisher:
ISBN:
Category :
Languages : en
Pages : 17

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Book Description

Author: Andreas Herzig
Publisher: Springer Nature
ISBN: 3030399516
Category : Mathematics
Languages : en
Pages : 335

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Book Description
This book constitutes the refereed proceedings of the 11th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2020, held in Dortmund, Germany, in February 2020. The 19 revised full papers presented were carefully reviewed and selected from 33 submissions. The papers address various topics such as big data; database design; dynamics of information; information fusion; integrity and constraint management; intelligent agents; knowledge discovery and information retrieval; knowledge representation, reasoning and planning; logics in databases and AI; mathematical foundations; security in information and knowledge systems; semi-structured data and XML; social computing; the semantic web and knowledge management; and the world wide web.​

Author: Luke Ong
Publisher: Springer
ISBN: 3642216919
Category : Mathematics
Languages : en
Pages : 255

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Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Typed Lambda Calculi and Applications, TLCA 2011, held in Novi Sad, Serbia, in June 2011 as part of RDP 2011, the 6th Federated Conference on Rewriting, Deduction, and Programming. The 15 revised full papers presented were carefully reviewed and selected from 44 submissions. The papers provide prevailing research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts addressing a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.