In section 3, we give semantics for variablefree logic programs. Logic programming and beyond, essays in honour of robert a. Motivation there was a talk at types08 ancona, lagorio, et al. Program cochair, 21st international conference on logic programming. The following list is reproduced from frequently asked questions at comp. Mar 08, 2017 a paper written in 2006 by ut dallas computer science department head dr. Coinductive predicates express persisting safety specifications of transition systems. We discuss applications of coinductive logic programming to verification and. Saeedloei n and gupta g coinductive constraint logic programming proceedings of the 11th international conference on functional and logic programming, 243259 albert e, arenas p, puebla g and hermenegildo m 2018 certificate size reduction in abstractioncarrying code, theory and practice of logic programming, 12. Interest in inductive logic programming has waxed and waned over the last decade, but never fallen to zero. What are the best books for improving programming logic. Book title logic programming book subtitle 23rd international conference, iclp 2007, porto, portugal, september 8, 2007, proceedings.
We extend logic programming s semantics with the semantic dual of traditional herbrand semantics by using greatest fixedpoints in place of least fixedpoints. In this paper we study the semantics of coinductive logic programming and clarify its intrinsic computational limits, which prevent, in particular, the definition of a complete, computable, operational semantics. In programming, co logic programming colp for brevity is a natural generalization of logic programming and coinductive logic programming, which in turn generalizes other extensions of logic programming, such as infinite trees, lazy predicates, and concurrent communicating predicates. Theory and practice of logic programming cambridge core.
Coinductive logic programming and its applications springerlink. Inductive logic programming is a new research area formed at the intersection of machine learning and logic programming. Theory and practice of logic programming miroslaw truszczynski. I would like to complement the existing list with several tasks from an extremely important application area of logic programming. Outline 1 recursion and corecursion inductive and coinductive types in coq terminative and productive functions recursion and corecursion without types 2 coalgebraic logic programming 3 parallelism 4 future directions. None of them are programming focused, programmers tend to learn this stuff by example or practice debugging is a great causeeffect based teacher and if you practice you will learn. We introduce a generalized logic programming paradigm where programs, consisting of facts and rules with the usual syntax, can be. In computer science, coinduction is a technique for defining and proving properties of systems.
While the influence of logic programming has encouraged the development of strong theoretical foundations, this new area is inheriting its experimental orientation from machine learning. Computer scientists paper from 2006 stands the test of. Logic programming 22nd international conference, iclp 2006, seattle, wa, usa, august 1720, 2006, proceedings. Logic programming applies to all areas of artificial intelligence and computer science and is fundamental to them. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. Operational semantics of resolution and productivity in horn clause logic.
Part of the lecture notes in computer science book series lncs, volume 4670. He worked on coinductive logic programming, predicate answer set programming with coinduction. This book describes the theory, implementations and applications of this field. Logic programming 23rd international conference, iclp. With the use and the development of computers in the beginning of the 1950s, it soon became clear that computers could be used, not only for arithmetical computation, but also for symbolic computation. Coinduction is the mathematical dual to structural induction. Part of the lecture notes in computer science book series lncs, volume 4079. Prolog programming in logic is a representative logic language. Answer set programming asp is a powerful paradigm based on logic programming for nonmonotonic reasoning. Coalgebraic logic programming coalp is a dialect of logic programming designed to bring a more precise compiletime and runtime analysis of termination and productivity for recursive and corecursive functions in logic programming.
We introduce negation into coinductive logic programming colp via what we term coinductive sldnf cosldnf resolution. We prove that this new operational semantics is equivalent to the declarative. Whilst inheriting various positive characteristics of the parent subjects of logic programming and machine learning, it is hoped that inductive logic programming will overcome many of the limitations of its forbears. The resulting paradigm, termed coinductive logic programming colp, allows one. We present a novel formal operational semantics that is based on synthesizing a coinductive hypothesis for this coinductive logic programming language. Towards predicate answer set programming via coinductive logic programming richard min, ajay bansal, gopal gupta department of computer science the university of texas at dallas, richardson, texas, u. Constraint generation corresponds to translation into a conjunction of horn clauses p, and constraint satisfaction is defined in terms of the coinductive herbrand model of p. This book constitutes the refereed proceedings of the 23rd international conference on logic programming, iclp 2007, held in porto, portugal, september 8, 2007. Ideal for mastering foundational programming, this popular book takes a unique, languageindependent approach to programming with a distinctive emphasis on modern conventions.
Gopal guptas paper from 2006 stands the test of time. The resulting coinductive logic programming language is syntactically identical to, yet semantically subsumes logic programming with rational terms and lazy evaluation. Logic programming 22nd international conference, iclp. Extending logic programming with coinduction the university of. Coinduction has recently been introduced into logic programming by simon et al. Luke simon, ajay mallya, ajay bansal, and gopal gupta. This volume presents 20 revised full papers and 6 application papers together with 2 invited talks, 2 tutorials and special interest.
Prolog with logically supported notions of modular programming, abstract datatypes, higherorder programming, and the lambdatree syntax. The resulting coinductive logic programming language is syntactically. This book describes the theory, implementations and applications of. Major logic programming language families include prolog, answer set programming asp and datalog. Logic programming, a class of programming languages based on firstorder logic, provides simple and efficient tools for goaloriented proofsearch. We introduce a generalized logic programming paradigm where programs, consisting of facts and rules with the usual syntax, can be enriched by cofacts, which syntactically resemble facts but have a special meaning. Someone else recommended learning math from the precalc up. In section 2, we set logic programming terminology, explain the relationship between termrewriting and sldresolution, and introduce the notion of coinductive tree. We discuss applications of coinductive logic programming to verification and model checking, lazy evaluation, concurrent logic programming and nonmonotonic reasoning. Techniques and applications ellis horwood series in artificial intelligence lavrac, nada, dzeroski, saso on. Towards predicate answer set programming via coinductive. Foundations of deductive databases and logic programming. Logic programming blends seamlessly, more seamlessly than other paradigms, with constraints, resulting in a framework called constraint logic programming.
It can however still serve as an introduction to the field of inductive logic programming, in spite of its publication date. Inductive logic programming is a new research area emerging at present. The relation of and the transition from logic to logic programming are analysed. Download inductive logic programming pdf books pdfbooks inductive logic programming sun, 19 apr 2020 17. Theory and practice of logic programming emphasises both the theory and practice of logic programming. A theoretical perspective of coinductive logic programming.
The book does not contain description of any particular logic programming language, but gives mathematical foundations of logic programming, such as, herbrand interpretations, unification, resolution, sldnfresolution, the least herbrand models and fixpoints, computability. Logic programming 23rd international conference, iclp 2007, porto, portugal, september 8, 2007, proceedings. Its second goal is to introduce guarded lazy corecursion akin to functional theorem provers into logic programming. In this paper we study the semantics of coinductive logic programming and clarify its intrinsic computational limits, which prevent, in particular, the definition of a. However, formatting rules can vary widely between applications and fields of interest or study. Logic programming is a programming paradigm which is largely based on formal logic.
The resulting paradigm, termed coinductive logic programming colp, allows one to model and reason about infinite processes and objects. Logic programming 23rd international conference, iclp 2007. The selection first elaborates on negation in logic programming and towards a theory of declarative knowledge. The directory can then be searched to check if this exact. It is through the inference rule of resolution that both proofs and computations can be manipulated on computers, and this book contains. It provides clear mathematical explanations, with many examples and exercises involving deterministic and nondeterministic automata, transition systems, streams, markov chains and.
This book constitutes the refereed proceedings of the 22nd international conference on logic programming, iclp 2006, held in seattle, wa, usa, in august 2006. Executing a logic program then involves using coinduction to check inclusion in the. This volume presents 20 revised full papers and 6 application papers together with 2 invited talks, 2 tutorials and special interest papers, as well as 17 poster presentations and the abstracts of 7 doctoral consortium articles. Proof relevant corecursive resolution heriotwatt university. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Gopal gupta and three of his phd students received a 10year test of time award from the association for logic programming alp at the 32nd international conference on logic programming iclp in new york. Abstract answer set programming asp is a powerful paradigm based on logic programming for nonmonotonic reasoning. Their paper, coinductive logic programming, demonstrated a practical way of addressing circular, infinite patterned objects in a computational setting. Constraint logic programming clp has been proposed as a declarative paradigm for merging constraint solving and logic programming. Finally, i recently did some work on coinductive logic programming with katya komendantskaya and her research group at the school of mathematical and computer sciences at heriotwatt university formerly at the school of computing at the university of dundee. Where induction corresponds to least fixed point semantics, coinduction corresponds to greatest. Colp extended with negation has many interesting applications. Coinductive logic programming proceedings of the 22nd.
Coinductive sldnf and its applcation to predicate answer set programming paperback december 20, 2010 by richard min author see all 3 formats and editions hide other formats and editions. Reviews the book is very carefully written, its many examples are discussed usually in great detail, expressing patiently the salient features to be exhibited. Colp is a natural generaliza tion of logic programming and coinductive logic programming, which in turn generalizes other extensions of logic programming, such as innite trees, lazy predicates. Readers prepare for programming success with the fundamental principles of developing structured program logic found in farrell. Inductive logic programming will be an invaluable text for all students of computer science, machine learning and logic programming at an advanced level. Latest advances in inductive logic programming book is available in pdf formate.
Recently, coinductive logic programming has been proposed as a powerful extension of logic programming for handling rational infinite objects and. Computations involving circular and infinite structures run forever, but they often have a pattern, gupta said. Pdf coinductive logic programming and its application to. Coalgebraic derivations in logic programming heriotwatt. Coinductive logic programming and its application to boolean sat richard min and gopal gupta department of computer science the university of texas at dallas richardson, texas, usa abstract coinduction has recently been introduced into logic programming by simon et al. Recently, coinductive logic programming has been proposed as a powerful extension of logic programming for handling rational infinite objects and reasoning about their. Conference, mpc 2008, marseille, france, july 1518, 2008. This mathematically oriented introduction to the theory of logic programming presents a systematic exposition of the resolution method for propositional, firstorder, and horn clause logics, together with an analysis of the semantic aspects of the method. Pdf coinductive logic programming and its applications. Coinductive predicates and final sequences in a fibration.
However, the intended meaning declarative semantics of a. Inductive logic programming by stephen muggleton editor. First a hypothesis is searched with an inductive logic. Extending coinductive logic programming with cofacts. Programming semantics, twentyninth annual conference mfps xxix, 2325 june 20, tulane. This book constitutes the refereed proceedings of the 11th international symposium on functional and logic programming, flops 2012, held in kobe, japan, in may 2012. Pdf extending coinductive logic programming with cofacts. In coinductive logic programming, instead, terms are coinductively defined, that is, can be infinite, and predicates are coinductively defined as well. Popular logic programming books goodreads share book. From logic to logic programming foundations of computing. Coinductive logic programming and its applications. Can you be more specific about what logic you need to improve and what level of skill you feel you have. We illustrate the approach by formally defining this.
Productive corecursion in logic programming theory and. Extending coinductive logic programming with cofacts arxiv. Inductive logic programming will be an invaluable text for all students of computer. We present declarative and operational semantics of cosldnf resolution and present their equivalence under the restriction of. We prove that this new operational semantics is equivalent to the declarative semantics. Coinduction has recently been introduced as a powerful technique for reasoning about unfounded sets, unbounded structures, and interactive computations.
Smith 2 1 computer laboratory, university of cambridge, cambridge cb2 3qg, england 2 harlequin limited, barrington, cambridge cb2 5rg, england. Gupta was a great mentor who helped me bridge the gaps between theory and practical applications and between functional programming and logic programming, simon said. Book title logic programming book subtitle 23rd international conference, iclp 2007, porto. Recently coinduction 1 has been introduced into logic programming by simon et al 14 to overcome this problem. Book title logic programming book subtitle 22nd international conference, iclp 2006, seattle, wa, usa, august 1720, 2006, proceedings. Coinductively defined types are known as codata and are typically infinite data structures. We propose a novel approach to constraintbased type inference based on coinductive logic. Jan 30, 2018 the following list is reproduced from frequently asked questions at comp. Corecursive featherweight java proceedings of the 14th. Workshop on constraint logic programming and software engineering, lpse2000. Execution of a logic program is a theorem proving process. The book will be useful to mathematicians and theoretical computer scientists and will also be of interest to mathematical physicists, biologists and economists. Any program written in a logic programming language is a set of sentences in logical form, expressing facts and rules about some problem domain. Logic programming 22nd international conference, iclp 2006.
In programming, cologic programming colp for brevity is a natural generalization of. Coinductive logic programming and its application to. The aim of this paper is to explain why coinductive definitions and proofs by. A tutorial on coinduction and functional programming. Prolog is a logic programming language based on an intuitionistic fragment of churchs simple theory of types. Inductive logic programming includes a definition of the basic ilp problem and its variations incremental, with queries, for multiple predicates and predicate invention capabilities, a description of bottomup operators and techniques such as least general generalization, inverse resolution, and inverse implication, an analysis of topdown methods mainly mis and foillike systems, and a survey of methods and languages for specifying inductive bias.
In computer science, coinduction is a technique for defining and proving properties of systems of concurrent interacting objects. In this paper we discuss the introduction of coinduction into logic programming. Principles of logic and logic programming, volume 1st. Popular logic programming books showing of 30 programming in prolog. It can however still serve as an introduction to the field of inductive logic programming. An algorithm of an ilp system consists of two parts.
Cofounder and director 19922000 of the laboratory for logic, databases, and advanced programming. Logic coinduction and infinite computation microsoft. Colp is a natural generalization of logic programming and coinductive logic programming, which in turn generalizes other extensions of logic programming, such as infinite trees, lazy predicates. But you can follow any of the programming books and there you will get better logic. In this paper we follow the spirit of a seminal work by worrell and study final sequences in a fibration. Where induction corresponds to least fixed point semantics, coinduction corresponds to greatest fixed point semantics. Download inductive logic programming pdf books pdfbooks. Coinductive logic programming and its applications request pdf.
Coinductive logic programming and its application to boolean sat. N2 coalgebra may be used to provide semantics for sldderivations, both finite and infinite. Coinductive logic programming became the basis of simons phd thesis. Combining traditional and coinductive logic programming, in proc. A theoretical perspective of coinductive logic programming ios. Coinductive logic programming brie y, colp shares with lp the same syntax, but the least xpoint semantics is replaced by the greatest xpoint one, and, consequently, the standard herbrand model is extended 1. Coinductive logic programming 11, 12, 4 extends standard logic programming with the ability of reasoning about in. What is prologs and mls counterpart of circular linked lists that we covered in c. Previous observations by hermida and jacobs identify coinductive predicates as suitable final coalgebras in a fibrationa categorical abstraction of predicate logic. Current asp implementations are restricted to grounded rangerestricted functionfree normal programs and use an evaluation strategy that is. As in coinductive logic programming, interpretations are subsets of the complete herbrand basis, including infinite terms. Programs are written in the language of some logic. It is studied in many disciplines, including process theory and concurrency, modal logic and automata theory.
Citeseerx type inference by coinductive logic programming. That development drew our attention to the semantic significance of existential variables. Whilst inheriting various positive characteristics of the parent subjects of logic programming an machine learning, it is hoped that the new area will overcome many of the limitations of its forbears. Computer scientists paper from 2006 stands the test of time. Lp in type inference katya dundee coalp for type inference lyon14 2 56. This book is a summary of what was known in the field in 1994, and much has changed since then. Advanced topics bisimulation and coinduction distributed.
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