Equational logic programming pdf

It is a part of the municipality of middendrenthe, and lies about 15 km south of assen. Major logic programming language families include prolog, answer set programming asp and datalog. Representing actions in equational logic programming. Inductive equational logic programming by arthur a. Imperative programming most conventional programming languages e. Equational logic as a programming language foundations of. In comparing logic programming with functional programming, logic programming is often described as relational. Lecture notes in computer science lecture notes in artificial intelligence, vol 353. Elp elp is a town in the dutch province of drenthe.

Search for library items search for lists search for contacts search for a library. Lifting term rewriting derivations in constructor systems by. Equational logic is the logic of equality, a concept that looks familiar and is often. Also, equational logic can be considered a programming language in its own right due to its ef. Download free book logic, programming and prolog 2nd edition by by ulf nilsson and jan maluszynski in pdf format.

Programs are written in the language of some logic. On the operational side, the resolution principle of logic programming. Pdf inductive equational logic programming semantic scholar. 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. Equational logic as a programming language book, 1985. Inductive logic programming ilp is an area of research that is at the intersection of machine learning and logic programming. An ilp system uses positive and negative facts examples and optional background knowledge to induce a logic program that 1 accurately describes the facts and 2 successfully predicts the outcome of unseen examples. Pure horn logic programming is based on very few language constructs, functional programming languages are, in contrast, much richer. It can be stated that ilp is the discovery of a theory from positive and negative facts using optional background knowledge. Proceedings of the 47th acm sigplan symposium on principles of programming languages, january 2020.

Evolutionary search in inductive equational logic programming. Its default operational semantics is order sorted narrowing, but particular cases can be computed by efficient built in algorithms over suitable data structures, with their functions and relations, including equality, disequality, and the usual orderings for numbers and lists. Equational logic as a programming language michael j. Recently three approaches for solving planning problems deductively were proposed each of which does not require to state frame axioms explicitly.

An ilp system uses positive and negative facts examples and optional background knowledge to induce a logic program. 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. Then you can start reading kindle books on your smartphone, tablet, or computer no kindle device required. 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. Foundations of equational logic programming springerlink. Foundations of equational logic programming book, 1989. Smith 2 1 computer laboratory, university of cambridge, cambridge cb2 3qg, england. Beginners guide to plc programming how to program a plc programmable logic controller. Equational logic as a programming language the mit press. Therefore, many proposals have been made to integrate equational, functional, and logic. Interest in the amalgamation of functional and logic programming languages has.

Specifying, programming and verifying with equational logic. Citeseerx equational logic programming, actions, and change. Foundations of equational logic programming pdf free download. We refer to the programming paradigm arising from programming with such equations as equational 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. Pdf equational logic programming, actions, and change. Download programming logic and design, comprehensive pdf. Equational logic as a programming language is included in the foundations of computing series, edited by michael garey. All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. It was later made into a branch of category theory by lawvere algebraic theories. Therefore, many proposals have been made to integrate equational, functional, and logic programming. A recapitulation of the equational logic programming based approach augmented by the notion of speci. The previous examples show that a lazy narrowing strategy is more difficult to.

It is the first completeness result for superposition of equational horn clauses which reduces to sld resolution in the non equational case. Logic programming is a programming paradigm which is largely based on formal logic. Equational logic programming, actions, and change computer. The emphasis in proofs is on substitution of equals for equals, instead of modus ponens. Solving equations in equational theories is a relevant programming paradigm which inte grates logic and equational programming into one unified framework. In this work, we define a framework based on abstract interpretation for the. Consequently, there are many references and several examples, but all proofs and many technical details are omitted. Enter your mobile number or email address below and well send you a link to download the free kindle app. Narrowing is a procedure that was first studied in the context of equational e unification. Two obvious examples of such models are numbers and infinite trees, with their.

Introduction to equational logic cornell university. We present a highlevel overview of the implementation of inductive equational logic using genetic programming and discuss encouraging results based on experiments that are intended to emulate real world scenarios. A logic programming language for computational nucleic. Article pdf available in the journal of logic programming 223. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Equational logic programming, actions, and change g. Quantitative equational logic prakash panangaden1 1school of computer science mcgill university probabilistic programming languages 29th may 2nd june 2017 panangaden mcgill university part ii portugal 30th may 2017 1 15. Equational logic programming, actions, and change citeseerx. The problem of unifying pairs of terms with respect to an equational theory as well as detecting the unsatisfiability of a system of equations is, in general, undecidable.

We present static analysis techniques for efficient equational logic programming, some of which have been. Pdf beginners guide to plc programming how to program a. It should be easier to add the features from a small language into a larger, than v1ceversa. Inductive equational logic programming by arthur a mcdonald. The bottom up part is the completion among the heads of. Typical examples handled by such a method are theories. The use of logic as the basis for program development is motivated by the possibilities it offers for achieving greater program correctness. Foundations of equational logic programming steffen. Orthogonal term rewriting systems also known as regular systems provide an elegant framework for programming in equational logic. This book presents the foundations of equational logic programming. Variables in such equations are logical variables, which obtain their values as a result of solving equations. A relevant drawback between the theory and the current implementations of logic programming languages is represented by the use of metalevel structures. Eqlog is a programming and specification language which combines constraint logic programming with equational programming. Functions can help to purify logic programming, for they can eliminate certain uses of the cut and can express certain negations positively.

Author links open overlay panel christopher lynch f1. The equational logic programming paradigm unifies logic programming based on horn clause logic and equational i. Oriented equational logic programming 25 system is its combination of top down and bottom up reasoning. Foundations of automatic theorem proving second edition jean gallier a corrected version of the original wiley edition pp. Our goal here is to investigate the relations between the equational style of dependentlytyped functional programming as found in agda to the prooftheoretical description of intuitionistic logic given in the sequent calculus. We argue that logic programming is still immature, compared with functional programming, because few logic programs are both useful and pure. 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. These approaches are based on the linear connection method, an equational logic programming language, and on linear logic. Separate chapters cover the intuitive logical semantics of the language, the powerful programming techniques supported by it and their connections. Rewriting techniques and applications, 2010, springerverlag lncs 2706, 1517, 2010. The terms of equational logic are built up from variables and constants using function symbols or operations.

Inductive programming ip is a special area of automatic programming, covering research from artificial intelligence and programming, which addresses learning of typically declarative logic or functional and often recursive programs from incomplete specifications, such as inputoutput examples or constraints depending on the programming language used, there are several kinds of inductive. Equational propositional logic e is a product of researchers in the field of the formal development of algorithms. Donnell showed that the paralleloutermost strategy, which replaces all outermost redexes in each step, is complete for such systems. For logic programming, the realists and purists are far apart. Equations play a vital role in many fields of mathematics, computer science, and artificial intelligence. Analyses of unsatisfiability for equational logic programming. Within this framework many known results are developed. W e prov ed that the equational logic programming approach to deductiv e planning is equiv alen t to a the linear connection metho d and the linear logic approac h to deductive planning. 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. In all of these languages, rules are written in the form of clauses. Equational logic programming how is equational logic. If youre looking for a free download links of programming logic and design, comprehensive pdf, epub, docx and torrent then this site is not for you. Equational reasoning for probabilistic programming part i. Equational reasoning for probabilistic programming part ii.