Semantics of the Probabilistic Typed Lambda Calculus PDF Download

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

View

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

View

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

View

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

View

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: Andreas Herzig
Publisher: Springer Nature
ISBN: 3030399516
Category : Mathematics
Languages : en
Pages : 352

View

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: Henk Barendregt
Publisher: Cambridge University Press
ISBN: 1107276349
Category : Mathematics
Languages : en
Pages : 969

View

Book Description
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.

Author: Tran Khanh Dang
Publisher: Springer
ISBN: 3030031926
Category : Computers
Languages : en
Pages : 497

View

Book Description
This book constitutes the refereed proceedings of the 5th International Conference on Future Data and Security Engineering, FDSE 2018, held in Ho Chi Minh City, Vietnam, in November 2018. The 28 revised full papers and 7 short papers presented together with two papers of keynote speeches were carefully reviewed and selected from 122 submissions. The selected papers are organized into the following topical headings: security and privacy engineering; authentication and access control; big data analytics and applications; advanced studies in machine learning; deep learning and applications; data analytics and recommendation systems; Internet of Things and applications; smart city: data analytics and security; and emerging data management systems and applications.

Author: Sven Hartmann
Publisher: Springer Nature
ISBN: 3030590038
Category : Computers
Languages : en
Pages : 469

View

Book Description
The double volumes LNCS 12391-12392 constitutes the papers of the 31st International Conference on Database and Expert Systems Applications, DEXA 2020, which will be held online in September 2020. The 38 full papers presented together with 20 short papers plus 1 keynote papers in these volumes were carefully reviewed and selected from a total of 190 submissions.

Author: Roberto M. Amadio
Publisher: Cambridge University Press
ISBN: 0521622778
Category : Computers
Languages : en
Pages : 504

View

Book Description
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.

Author: Stergios Chatzikyriakidis
Publisher: John Wiley & Sons
ISBN: 1786301288
Category : Language Arts & Disciplines
Languages : en
Pages : 256

View

Book Description
This book studies formal semantics in modern type theories (MTTsemantics). Compared with simple type theory, MTTs have much richer type structures and provide powerful means for adequate semantic constructions. This offers a serious alternative to the traditional settheoretical foundation for linguistic semantics and opens up a new avenue for developing formal semantics that is both model-theoretic and proof-theoretic, which was not available before the development of MTTsemantics. This book provides a reader-friendly and precise description of MTTs and offers a comprehensive introduction to MTT-semantics. It develops several case studies, such as adjectival modification and copredication, to exemplify the attractiveness of using MTTs for the study of linguistic meaning. It also examines existing proof assistant technology based on MTT-semantics for the verification of semantic constructions and reasoning in natural language. Several advanced topics are also briefly studied, including dependent event types, an application of dependent typing to event semantics.