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Logic, Programming and Prolog (2ed)

By Ulf Nilsson and Jan Maluszynski (294 pages)

The main objective of Logic, Programming and Prolog is to provide a uniform account of both the foundations of logic programming and simple programming techniques in the programming language Prolog.

Chapters include:

• Preliminaries – contains a recapitulation of notions basic to logic in general. The chapter discusses concepts related both to model- and proof-theory of predicate logic including notions like language, interpretation, model, logical consequence, logical inference, soundness and completeness. The final section introduces the concept of substitution
• Definite Logic Programs – introduces the restricted language of definite programs and discusses the model-theoretic consequences of restricting the language
• SLD-Resolution – describes the operational semantics of definite programs
• Negation in Logic Programming – discusses the use of negation in logic programming. It introduces the negation-as-definite-failure rule used to implement negation in most Prolog systems and also provides a logical justification of the rule by extending the user’s program with additional axioms
• Towards Prolog: Cut and Arithmetic – Cut is introduced as a mechanism for reducing the overhead of Prolog computations. The chapter also discusses the use of predefined arithmetic predicates in Prolog and provides a logical explanation for them
• Logic and Databases – describes logic programming from a database point of view
• Programming with Recursive Data Structures – demonstrates techniques for defining relations on recursive data-structures, in particular on lists
• Amalgamating Object- and Meta-language – introduces the notion of meta- and object-language and illustrates how to use logic programs for describing SLD-resolution. The chapter also introduces some (controversial) built-in predicates available in most Prolog implementations
• Logic and Expert Systems – demonstrates how to extend an interpreter from the previous chapter into a simple expert-system shell
• Logic and Grammars – shows how to describe grammars in Prolog, starting from context-free grammars. Larger classes of languages are considered. The chapter moves on to introduce the notion of Definite Clause Grammars (DCGs) commonly used for describing both natural and artificial languages in Prolog
• Searching in a State-space – demonstrates simple techniques for solving search-problems in state-transition graphs and raises some of the difficulties which are inherently associated with such problems
• Logic Programming and Concurrency – describes a class of languages commonly called concurrent logic programming languages
• Logic Programs with Equality – discusses an approach to integration of logic programming with functional programming based on the use of equations
• Constraint Logic Programming – concerns the use of constraints in logic programming
• Query-answering in Deductive Databases – concerns the use of constraints in logic programming. A rigorous semantical framework is briefly described

The book may also be copied and distributed in paper-form for non-profit use only.

Simply Logical

By Peter Flach (247 pages)

Simply Logical – Intelligent Reasoning by Example aims to introduce the reader to a number of topics — logic, Artificial Intelligence and computer programming. This is a book about intelligent reasoning. Reasoning is the process of drawing conclusions; intelligent reasoning is the kind of reasoning performed by humans.

The latter parts of the book present a number of recent extensions of Logic Programming, most of which have been accessible previously only in conference proceedings and journal articles.

Chapters cover:

• Logic and Logic Programming – introduces the main concepts in logic programming such as program clauses, query answering, proof trees, and recursive data structures
• Clausal logic and resolution: theoretical backgrounds – deals with concepts such as Herbrand models and resolution refutations, as well as meta-theoretical notions like soundness and completeness. The presentation starts with propositional clausal logic, and proceeds via relational clausal logic (without functors) to full clausal logic, and finally arrives at definite clause logic
• Logic Programming and Prolog – discusses the practical aspects of Prolog programming examining concepts such as SLD-tree forms, the treatment of arithmetic expressions in Prolog, second-order predicates like setof, and various programming techniques like accumulators and difference lists
• Representing structured knowledge – discusses various ways to represent structured knowledge in Prolog
• Searching graphs – discusses and implements some basic techniques for finding solutions in search spaces. Their common denominator is that they are exhaustive: that is, in the worst case they will eventually visit every node in the search space along every possible path, before finding a solution
• Informed search – best-first search, a complete variant of best-first search called the A algorithm, and non-exhaustive informed search strategies, that can be derived from best-first search by limiting the size of the agenda
• Reasoning with natural language
• Reasoning with incomplete information
• Inductive reasoning

Prolog and Natural-Language Analysis

By Fernando C.N. Pereira, Stuart Shieber (204 pages)

Prolog and Natural Language Analysis provides a concise and practical introduction to logic programming and the logic-programming language Prolog both as vehicles for understanding elementary computational linguistics and as tools for implementing the basic components of natural-language-processing systems.

The main objective of Prolog and Natural-Language Analysis is to provide a working understanding of basic computational linguistic and logic programming concepts.

Throughout this book, the specific concepts and techniques are given rigorous theoretical justification and are demonstrated with working programs that show how Prolog can be used to solve actual problems in syntax, parsing, and semantic interpretation. These examples culminate in a simple working natural-language question-answering system written in Prolog. Extensive bibliographic notes point the reader to related research and further reading.

Chapters cover:

• Introduction
• Database Prolog
• Pure Prolog
• Further Topics in Natural-Language Analysis
• Full Prolog
• Interpreters

The digital edition of the work can be reproduced and distributed subject to specified conditions.

GNU Prolog

By Daniel Diaz (238 pages)

GNU Prolog is a free, open source Prolog compiler with constraint solving over finite domains developed by Daniel Diaz. It is based on the Warren Abstract Machine. The compiler also offers various extensions very useful in practice (global variables, OS interface, sockets, …).

Chapters cover:

• Introduction
• Using GNU Prolog
• Debugging
• Format of definitions
• Prolog directives and control constructs
• Prolog built-in predicates
• Finite domain solver and built-in predicates
• Interfacing Prolog and C

The author gives permission to make and distribute verbatim copies of his manual provided the copyright notice and this permission notice are preserved on all copies. Permission is granted to copy and distribute modified versions of this manual under the conditions for verbatim copying, provided that the entire resulting derived work is distributed under the terms of an identical permission notice.