Types in Logic Programming

Types in Logic Programming
Author: Frank Pfenning
Publisher: MIT Press
Total Pages: 388
Release: 1992
Genre: Computers
ISBN: 9780262161312

This collection of original research papers assesses and summarizes the impact of types on logic programming. Type theory is a well-established branch of theoretical computer science that has played an important role in the development of imperative and functional programming languages. This collection of original research papers assesses and summarizes the impact of types on logic programming. It covers all of the major themes in this burgeoning field, including simple types, regular tree types, polymorphic types, subtypes, and dependent types. Language design issues as well as semantics, pragmatics, and applications of types are discussed.The benefits that type considerations have to offer logic programming are being increasingly realized: through type checking many errors can be caught before a program is run, resulting in more reliable programs; types form an expressive basis for module systems, since they prescribe a machine-verifiable interface for the code encapsulated within a module; and types may be used to improve performance of code generated by a compiler. The research in this collection describes these benefits as well as important differences in the impact of types in functional and logic programming.

Logic Programming with Prolog

Logic Programming with Prolog
Author: Max A. Bramer
Publisher: Springer Science & Business Media
Total Pages: 246
Release: 2005-07-13
Genre: Computers
ISBN: 9781852339388

Written for those who wish to learn Prolog as a powerful software development tool, but do not necessarily have any background in logic or AI. Includes a full glossary of the technical terms and self-assessment exercises.

Programming with Higher-Order Logic

Programming with Higher-Order Logic
Author: Dale Miller
Publisher: Cambridge University Press
Total Pages: 321
Release: 2012-06-11
Genre: Computers
ISBN: 1139510428

Formal systems that describe computations over syntactic structures occur frequently in computer science. Logic programming provides a natural framework for encoding and animating such systems. However, these systems often embody variable binding, a notion that must be treated carefully at a computational level. This book aims to show that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment. Three broad topics are covered in pursuit of this goal. First, a proof-theoretic framework that supports a general view of logic programming is identified. Second, an actual language called λProlog is developed by applying this view to higher-order logic. Finally, a methodology for programming with specifications is exposed by showing how several computations over formal objects such as logical formulas, functional programs, and λ-terms and π-calculus expressions can be encoded in λProlog.

From Logic Programming to Prolog

From Logic Programming to Prolog
Author: Krzysztof R. Apt
Publisher:
Total Pages: 358
Release: 1997
Genre: Computers
ISBN:

Provides a systematic introduction to the theory of logic programming and shows how this theory can be applied to reason about pure Prolog programs. The text includes an introduction to programming in Prolog and deals with such programming issues as determination, occur-check freedom and absence of errors. It covers both the natural interpretations of logic programming, as declarative specification and as procedure for computer execution.

The Reasoned Schemer, second edition

The Reasoned Schemer, second edition
Author: Daniel P. Friedman
Publisher: MIT Press
Total Pages: 206
Release: 2018-03-09
Genre: Computers
ISBN: 0262535513

A new edition of a book, written in a humorous question-and-answer style, that shows how to implement and use an elegant little programming language for logic programming. The goal of this book is to show the beauty and elegance of relational programming, which captures the essence of logic programming. The book shows how to implement a relational programming language in Scheme, or in any other functional language, and demonstrates the remarkable flexibility of the resulting relational programs. As in the first edition, the pedagogical method is a series of questions and answers, which proceed with the characteristic humor that marked The Little Schemer and The Seasoned Schemer. Familiarity with a functional language or with the first five chapters of The Little Schemer is assumed. For this second edition, the authors have greatly simplified the programming language used in the book, as well as the implementation of the language. In addition to revising the text extensively, and simplifying and revising the “Laws” and “Commandments,” they have added explicit “Translation” rules to ease translation of Scheme functions into relations.

The Little Typer

The Little Typer
Author: Daniel P. Friedman
Publisher: MIT Press
Total Pages: 418
Release: 2018-09-18
Genre: Computers
ISBN: 0262536439

An introduction to dependent types, demonstrating the most beautiful aspects, one step at a time. A program's type describes its behavior. Dependent types are a first-class part of a language, and are much more powerful than other kinds of types; using just one language for types and programs allows program descriptions to be as powerful as the programs they describe. The Little Typer explains dependent types, beginning with a very small language that looks very much like Scheme and extending it to cover both programming with dependent types and using dependent types for mathematical reasoning. Readers should be familiar with the basics of a Lisp-like programming language, as presented in the first four chapters of The Little Schemer. The first five chapters of The Little Typer provide the needed tools to understand dependent types; the remaining chapters use these tools to build a bridge between mathematics and programming. Readers will learn that tools they know from programming—pairs, lists, functions, and recursion—can also capture patterns of reasoning. The Little Typer does not attempt to teach either practical programming skills or a fully rigorous approach to types. Instead, it demonstrates the most beautiful aspects as simply as possible, one step at a time.

Mathematical Aspects of Logic Programming Semantics

Mathematical Aspects of Logic Programming Semantics
Author: Pascal Hitzler
Publisher: CRC Press
Total Pages: 307
Release: 2016-04-19
Genre: Computers
ISBN: 1000218724

Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.

Logic Programming

Logic Programming
Author: Christoph Beierle
Publisher: Elsevier Publishing Company
Total Pages: 428
Release: 1995
Genre: Computers
ISBN:

This text aims at promoting a convergence between the technical challenges of developing advanced software systems and the formal techniques, tools and features evolving from the logic programming paradigm. It provides contributions towards different apsects of logic programming.