Qian z higherorder equational logic programming proceedings of the 21st acm sigplansigact symposium on principles of programming languages, 254267 antoy s, echahed r and hanus m a needed narrowing strategy proceedings of the 21st acm sigplansigact symposium on principles of programming languages, 268279. Equational logic as a programming language the mit press. We argue that logic programming is still immature, compared with. Logic is now widely recognized as one of the foundational disciplines of computing and has applications in virtually all aspects of the subject, from software engineering and hardware to. Equational logic as a programming language september 1985. 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.
Major logic programming language families include prolog, answer set programming asp and datalog. It introduces major new developments in a continually evolving field, including topics such as concurrency, equational logic programming and constraint logic programming. Semantics of programming languages exposes the basic motivations and philosophy underlying the applications of semantic techniques in computer science. Introduction to equational logic cornell university. On the other hand logic can be used not only for the specification but also as programs itself.
Jan 30, 2018 the following list is reproduced from frequently asked questions at comp. The following list is reproduced from frequently asked questions at comp. Foundations of equational logic programming lecture notes. This book presents the foundations of equational logic programming. The 6th international conference english paperback online for rs.
Kripke models and the inequational logic of the secondorder lambdacalculus annals of pure and applied logic, 84, 257316, 1997 ps pdf typing untyped lambda terms, or reducibility strikes again. Logic programming is a programming paradigm which is largely based on formal logic. 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. This paper is a contribution to the amalgamation of logic programming as. Logic for computer scientistsintroduction wikibooks, open. Home browse by title books equational logic as a programming language.
Logic programming with equations 275 2 if possible, resolve the leftmost goal with one of the equations. Kripke models and the in equational logic of the secondorder lambdacalculus annals of pure and applied logic, 84, 257316, 1997 ps pdf typing untyped lambda terms, or reducibility strikes again. Any program written in a logic programming language is a set of sentences in logical form, expressing facts and rules about some problem domain. Computational logic, volume 9 1st edition elsevier. Logic is now widely recognized as one of the foundational disciplines of computing and has applications in virtually all aspects of the subject, from software engineering and hardware to programming languages and artificial intelligence. Foundations of equational logic programming pdf free download. Buy equational logic as a programming language foundations of computing english hardcover online for rs. Solving higherorder equations from logic to programming. Balances between a clear and authoritative treatment of the theory and a practical, problemsolving approach to its applications. Foundations of equational logic programming 353 by steffen holldobler 1989, paperback at the best online prices at ebay. The emphasis in proofs is on substitution of equals for equals, instead of modus ponens. The 6th international conference english paperback by levi. An equation is a pair of terms st from a common term algebra tx.
Functional logic programming aims to amalgamate the most important declarative programming paradigms, namely functional programming and logic programming. This book presents the foundations of equational logic. Within this framework many known results are developed. It introduces the mathematical theory of programming languages with an emphasis on higherorder functions and type systems. The model theory of this logic was developed into universal algebra by birkhoff et al. In other words, an ideal of logic programming is purely declarative programming. 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. Adopting this strategy, we integrate logic programming and equational programming as practically as any other method based on term rewriting systems does. What sets this book apart from others on logic programming is the breadth of its coverage. Like lisp and prolog, the equational programming language is based on the concept that a programmer should give. In comparison with pure functional languages, functional logic languages have more expressive power due to the availability of features like function inversion, partial data structures, existential variables, and nondeterministic search.
The integration of functions into logic programming. In this section an equal sign between terms means not that the two terms must be the same term but rather denotes their. Foundations of equational logic programming lecture notes in. Foundations of equational logic programming steffen holldobler. Due to its expressiveness, higherorder logic is used for specification and verification of hardware, software, and mathematics. Annals of pure and applied logic, 91, 231270, 1998 ps pdf. In computer science, functional programming is a programming paradigm where programs are constructed by applying and composing functions. This edition introduces major new developments in a continually evolving field and includes such topics as concurrency and equational and constraint logic programming. We show the completeness of an extension of sldresolution to the equational setting.
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. Lecture notes in computer science lecture notes in artificial intelligence, vol 353. Pdf equational logic programming, actions, and change. Firstorder equational logic consists of quantifierfree terms of ordinary firstorder logic, with equality as the only predicate symbol. Manzoanalyses of inconsistency for incremental equational logic programming. Equational logic was developed over the years beginning in the early 1980s by researchers in the formal development of programs, who felt a need for an effective style of manipulation, of calculation. The use of mathematical logic for computer programming. The act or process of equating or of being equated. Designed as a text for upperlevel and graduatelevel students, the mathematically sophisticated approach will also. Equations play a vital role in many fields of mathematics, computer science, and artificial intelligence.
Equational logic article about equational logic by the. Foundations of equational logic programming book, 1989. This paper is a contribution to the amalgamation of logic programming as embodied in prolog and functional programming as embodied in languages like sasl, krc, hope, or in dialects of lisp like lispkit lisp or scheme. Odonnell 69 1 introduction to equational logic programming 69 1. Equational logic as a programming language foundations of. It introduces major new developments in a continually evolving field, including topics such as concurrency, equational. The following is a logic program which computes the maximum value of a list of values.
Equational logic as a programming language foundations of computing english hardcover by michael j. No other book use equational logic like this one for beginners. 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. Equational logic article about equational logic by the free. Involved were people like roland carl backhouse, edsger w. The bottom up part is the completion among the heads of clauses, and the top down part is the goal solving. Equational propositional logic e is a product of researchers in the field of the formal development of algorithms. We investigate how equational rewriting, which we assume is an adequate model for functional programming, can be performed within the context of logic programming.
Foundations of equational logic programming ebook, 1989. This text offers a concise treatment of the theory of logic programming and a practical, problemsolving approach to its applications. Mathematics a statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign. In all of these languages, rules are written in the form of clauses. The authors have achieved a fine balance between a clear and authoritative treatment of the theory and a practical, problemsolving approach to its applications. For the rest of this introduction we will directly jump into the use of logic for modern computer science. Mar 16, 2009 this text offers a concise treatment of the theory of logic programming and a practical, problemsolving approach to its applications. It was later made into a branch of category theory by lawvere algebraic theories.
Separate chapters cover the intuitive logical semantics of the language, the powerful programming techniques supported by it and their connections to procedural techniques such as coroutines, the methods used to produce a highly flexible implementation of the language with very little manpower. This monograph develops techniques for equational reasoning in higherorder logic. The topics include language design, formal semantics, type theory, compilation techniques, program transformation, programming methods, integration of programming paradigms, constraint solving, and distributed computation. Equational logic as a programming languagecovers the entire spectrum of theoretical and applied work involved in eight years of designing and implementing the equational logic programming language. The model theory of this logic was developed into universal algebra by birkhoff, gratzer, and cohn. Within the last decade it turned out that computerised systems are the very base of advanced technology. Foundations of equational logic programming steffen. The wolfram language represents boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. Logic, programming and prolog 2nd edition free computer books.
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. This really outstanding classic will teach you logic with solid programming advice following dijsktras ideas, and the basic of graph theory, sets, etc. The reader who is interested in history of logic is referred to the bibliographic section at the end of this introduction. Handbook of logic in artificial intelligence and logic. Introduces topics such as concurrency and equational and constraint logic programming. Therefore, many proposals have been made to integrate equational, functional, and logic programming. It is a declarative programming paradigm in which function definitions are trees of expressions that each return a value, rather than a sequence of imperative statements which change the state of the program or world in functional programming.
Oriented equational logic programming 25 system is its combination of top down and bottom up reasoning. Equational logic as a programming language guide books. This proves a conjecture of laurent fribourg and shows the compl. Unfortunately, this has not yet been achieved with current logic programming systems.
Oriented equational logic programming is complete sciencedirect. 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. Logic, programming and prolog by ulf nilsson, jan maluszynski. This book discusses issues concerning functional programming, logic programming, and integration of the two. 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. Part of the lecture notes in computer science book series lncs, volume 193. But you can follow any of the programming books and there you will get better logic. Incorporating stateoftheart quantifier elimination, satisfiability, and equational logic theorem proving, the wolfram language provides a powerful framework for. Equational logics and rewriting, claude kirchner, helene kirchner. Logic for computer scientistsintroduction wikibooks. Incorporating stateoftheart quantifier elimination, satisfiability, and equational logic theorem proving, the wolfram language provides a powerful framework for investigations based on boolean algebra. Equational logic programming, actions, and change g.
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