Equational logic programming book

The wolfram language represents boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. This book provides a comprehensive description of the theoretical foundations, design, and implementation of an innovative logic programming language in which computations are produced directly from equational definitions. The topics include language design, formal semantics, type theory, compilation techniques, program transformation, programming methods, integration of programming paradigms, constraint solving, and distributed computation. Incorporating stateoftheart quantifier elimination, satisfiability, and equational logic theorem proving, the wolfram language provides a powerful framework for investigations based on boolean algebra. Therefore, many proposals have been made to integrate equational, functional, and logic programming. Juan jose morenonavarro and mario rodriguezartalejot p we investigate the experimental programming language babel, designed to achieve integration of functional programming as embodied in hope, stand ard ml, or miranda and logic. This book discusses issues concerning functional programming, logic programming, and integration of the two.

Equational logic as a programming language the mit press. Equational logic as a programming language guide books. Foundations of equational logic programming full description. Equational propositional logic e is a product of researchers in the field of the formal development of algorithms. Buy equational logic as a programming language foundations of computing english hardcover online for rs. Another inference method for equational horn clauses is the lazy paramodulation. After generalizing logic programming by augmenting programs with a conditional equational theory, the author defines a unifying framework for logic programming, equation solving, universal unification, and term rewriting. Foundations of equational logic programming springerlink. This chapter discusses ordersorted equational computation. Thielscher intellektik,informatik,thdarmstadt,germany abstract recently three approaches for solving planning problems deductively were proposed each of which does not require to state frame axioms explicitly. Firstorder unification in equational theories and its. The equational logic of iterative processes by stephen l. In other words, an ideal of logic programming is purely declarative programming.

Handbook of logic in artificial intelligence and logic. Finally, each student would be required to do a project of their chosing in some logic programming language. Equational logic is the logic of equality, a concept that looks familiar and is often. Manysorted equational logic is the basis for algebraic specifications, rewriting techniques, unification theory, and equational programming. In the standard approach, sorts are unrelated and can be thought of as denoting disjoint sets. Separate chapters cover the intuitive logical semantics of the language, the powerful programming techniques supported by it and their connections. This book provides a comprehensive description of the theoretical foundations, design, and implementation of an innovative logic programming language in. Equational logic as a programming language covers the entire spectrum of theoretical and applied work involved in eight years of designing and implementing the equational logic programming language. Equational logic as a programming language september 1985. Probably half way through the semester i will ask each of you to put together a project proposal. Equational logic as a programming language foundations of.

Home browse by title theses firstorder unification in equational theories and its application to logic programming. Within this framework many known results are developed. Logic is used as a purely declarative representation language, and a theoremprover or modelgenerator is used as the problemsolver. This really outstanding classic will teach you logic with solid programming advice following dijsktras ideas, and the basic of graph theory, sets, etc. Foundations of equational logic programming improves brain quality. Eqlog is a programming and specification language which combines constraint logic programming with equational programming. Unfortunately, this has not yet been achieved with current logic programming systems. Part of the lecture notes in computer science book series lncs, volume 193. This book presents the foundations of equational logic programming. Equational logic as a programming language foundations of computing english hardcover by michael j. Firstorder equational logic consists of quantifierfree terms of ordinary firstorder logic, with equality as the only predicate symbol. A unifying approach to logic and functional programming abstract bharat jayaraman department of computer science universitji of north carolina at chapel hill chapel hill, nc 1. The emphasis in proofs is on substitution of equals for equals, instead of modus ponens. Then you can start reading kindle books on your smartphone, tablet, or computer no kindle device required.

Home browse by title books equational logic as a programming language. Foundations of equational logic programming lecture notes. Pdf equational logic programming, actions, and change. Generalizing logic programming by augmenting programs with a conditional equational theory, it defines a unifying framework for logic programming, equation solving, universal unification, and. Just like any other muscular body, the brain needs physical activity to keep it strong and healthy, so the phrase using it or losing it is perfect when it comes to your mind. In all of these languages, rules are written in the form of clauses. Equational logic as a programming language is included in the foundations of computing series, edited by michael garey.

Solving higherorder equations from logic to programming. Foundations of equational logic programming steffen holldobler. Oriented equational logic programming 25 system is its combination of top down and bottom up reasoning. The bottom up part is the completion among the heads of clauses, and the top down part is the goal solving.

The equational logic of iterative processes monographs in theoretical computer. This second edition adds a clear and authoritative treatment of the theory, which is combined with an emphasis on practical programming issues. Findequationalproofthm, theory tries to find a proof of thm using the specified named axiomatic theory. Foundations of equational logic programming steffen. Equational logic programming, actions, and change g. Like lisp and prolog, the equational programming language is based on the concept that a programmer should give a mathematical description of the result of a. Foundations of equational logic programming pdf free download. Enter your mobile number or email address below and well send you a link to download the free kindle app. Foundations of equational logic programming book, 1989. Foundations of equational logic programming ebook, 1989.

Logic, programming and prolog by ulf nilsson, jan mauszynski. Major logic programming language families include prolog, answer set programming asp and datalog. This book presents the foundations of equational logic. The model theory of this logic was developed into universal algebra by birkhoff, gratzer, and cohn. Finally, we discuss possible extensions of the equational logic programming approach. Equational logic systems are interesting, since they may be implemented very ef.

Balances between a clear and authoritative treatment of the theory and a practical, problemsolving approach to its applications. Ucge hamel,1991 is an equational logic programming system inspired by odonnellssystem odonnell, 1985 and was designed to allow the integration of logic systems into imperative style programming environments. Firstorder unification in equational theories and its application to logic programming. Logic programming is a programming paradigm which is largely based on formal logic. What sets this book apart from others on logic programming is the breadth of its coverage. Introduction to equational logic cornell university. Equational logic programming, actions, and change computer. Equational logic programming how is equational logic.

It was later made into a branch of category theory by lawvere algebraic theories the terms of equational logic are built up from variables and constants. This book introduces major new developments in 1995, of course in a continually evolving field and includes such topics as concurrency and equational and constraint logic programming. Findequationalproofthm, axms tries to find an equational proof of the symbolic theorem thm using the axioms axms. Foundations of equational logic programming pdf download. Equations play a vital role in many fields of mathematics, computer science, and artificial intelligence. What are the best books for improving programming logic. This paper is a contribution to the amalgamation of logic programming as. This aims at integrating and generalizing declarative programming models such as functional and logic programming. Any program written in a logic programming language is a set of sentences in logical form, expressing facts and rules about some problem domain.