What Language Do You Use to Create Your AI Programs and Why?
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Answer Set Programming: a Tour from the Basics to Advanced Development Tools and Industrial Applications
Answer Set Programming: A tour from the basics to advanced development tools and industrial applications Nicola Leone and Francesco Ricca Department of Mathematics and Computer Science, University of Calabria, Italy leone,ricca @mat.unical.it { } Abstract. Answer Set Programming (ASP) is a powerful rule-based language for knowledge representation and reasoning that has been developed in the field of logic programming and nonmonotonic reasoning. After more than twenty years from the introduction of ASP, the theoretical properties of the language are well understood and the solving technology has become mature for practical appli- cations. In this paper, we first present the basics of the ASP language, and we then concentrate on its usage for knowledge representation and reasoning in real- world contexts. In particular, we report on the development of some industry-level applications with the ASP system DLV, and we illustrate two advanced develop- ment tools for ASP, namely ASPIDE and JDLV, which speed-up and simplify the implementation of applications. 1 Introduction Answer Set Programming (ASP) [11, 19, 30] is a powerful rule-based language for knowledge representation and reasoning that has been developed in the field of logic programming and nonmonotonic reasoning. ASP features disjunction in rule heads, non monotonic negation in rule bodies [30], aggregate atoms [16] for concise mod- eling of complex combinatorial problems, and weak constraints [12] for the declarative encoding of optimization problems. Computational problems, even of high complexity [19], can be solved in ASP by specifying a logic program, i.e., a set of logic rules, such that its answer sets correspond to solutions, and then, using an answer set solver to find such solutions [38, 34]. -
The Design and Implementation of Object-Constraint Programming
Felgentreff, The Design and Implementation of Object-Constraint Programming The Design and Implementation of Object-Constraint Programming von Tim Felgentreff Dissertation zur Erlangung des akademischen Grades des Doktor der Naturwissenschaften (Doctor rerum naturalium) vorgelegt der Mathematisch-Naturwissenschaftlichen Fakultät der Universität Potsdam. Betreuer Prof. Dr. Robert Hirschfeld Fachgebiet Software-Architekturen Hasso-Plattner-Institut Universität Potsdam 21. April 2017 Erklärung Hiermit erkläre ich an Eides statt, dass ich die vorliegende Dissertation selbst angefertigt und nur die im Literaturverzeichnis aufgeführten Quellen und Hilfsmittel verwendet habe. Diese Dissertation oder Teile davon wurden nicht als Prüfungsarbeit für eine staatliche oder andere wissenschaftliche Prüfung eingereicht. Ich versichere weiterhin, dass ich diese Arbeit oder eine andere Abhandlung nicht bei einer anderen Fakultät oder einer anderen Universität eingereicht habe. Potsdam, den 21. April 2017 Tim Felgentreff v Abstract Constraints allow developers to specify properties of systems and have those properties be main- tained automatically. This results in compact declarations to describe interactive applications avoid- ing scattered code to check and imperatively re-satisfy invariants in response to user input that perturbs the system. Constraints thus provide flexibility and expressiveness for solving complex problems and maintaining a desired system state. Despite these advantages, constraint program- ming is not yet widespread, with imperative programming still being the norm. There is a long history of research on constraint programming as well as its integration with general purpose programming languages, especially from the imperative paradigm. However, this integration typically does not unify the constructs for encapsulation and abstraction from both paradigms and often leads to a parallel world of constraint code fragments and abstractions inter- mingled with the general purpose code. -
Complexity Results for Probabilistic Answer Set Programming
International Journal of Approximate Reasoning 118 (2020) 133–154 Contents lists available at ScienceDirect International Journal of Approximate Reasoning www.elsevier.com/locate/ijar Complexity results for probabilistic answer set programming ∗ Denis Deratani Mauá a, , Fabio Gagliardi Cozman b a Institute of Mathematics and Statistics, Universidade de São Paulo, Brazil b Escola Politécnica, Universidade de São Paulo, Brazil a r t i c l e i n f o a b s t r a c t Article history: We analyze the computational complexity of probabilistic logic programming with Received 16 May 2019 constraints, disjunctive heads, and aggregates such as sum and max. We consider Received in revised form 25 October 2019 propositional programs and relational programs with bounded-arity predicates, and look Accepted 9 December 2019 at cautious reasoning (i.e., computing the smallest probability of an atom over all Available online 16 December 2019 probability models), cautious explanation (i.e., finding an interpretation that maximizes the Keywords: lower probability of evidence) and cautious maximum-a-posteriori (i.e., finding a partial Probabilistic logic programming interpretation for a set of atoms that maximizes their lower probability conditional on Answer set programming evidence) under Lukasiewicz’s credal semantics. Computational complexity © 2019 Elsevier Inc. All rights reserved. 1. Introduction Probabilities and logic programming have been combined in a variety of ways [1–8]. A particularly interesting and power- ful combination is offered by probabilistic answer set programming, which exploits the powerful knowledge representation and problem solving toolset of answer set programming [9]. Available surveys describe probabilistic logic programming in detail and go over many promising applications [10–13]. -
Answer Set Programming: a Primer?
Answer Set Programming: A Primer? Thomas Eiter1, Giovambattista Ianni2, and Thomas Krennwallner1 1 Institut fur¨ Informationssysteme, Technische Universitat¨ Wien Favoritenstraße 9-11, A-1040 Vienna, Austria feiter,[email protected] 2 Dipartimento di Matematica, Universita´ della Calabria, I-87036 Rende (CS), Italy [email protected] Abstract. Answer Set Programming (ASP) is a declarative problem solving para- digm, rooted in Logic Programming and Nonmonotonic Reasoning, which has been gaining increasing attention during the last years. This article is a gentle introduction to the subject; it starts with motivation and follows the historical development of the challenge of defining a semantics for logic programs with negation. It looks into positive programs over stratified programs to arbitrary programs, and then proceeds to extensions with two kinds of negation (named weak and strong negation), and disjunction in rule heads. The second part then considers the ASP paradigm itself, and describes the basic idea. It shows some programming techniques and briefly overviews Answer Set solvers. The third part is devoted to ASP in the context of the Semantic Web, presenting some formalisms and mentioning some applications in this area. The article concludes with issues of current and future ASP research. 1 Introduction Over the the last years, Answer Set Programming (ASP) [1–5] has emerged as a declar- ative problem solving paradigm that has its roots in Logic Programming and Non- monotonic Reasoning. This particular way of programming, in a language which is sometimes called AnsProlog (or simply A-Prolog) [6, 7], is well-suited for modeling and (automatically) solving problems which involve common sense reasoning: it has been fruitfully applied to a range of applications (for more details, see Section 6). -
Constraint Programming and Operations Research
Noname manuscript No. (will be inserted by the editor) Constraint Programming and Operations Research J. N. Hooker and W.-J. van Hoeve November 2017 Abstract We present an overview of the integration of constraint program- ming (CP) and operations research (OR) to solve combinatorial optimization problems. We interpret CP and OR as relying on a common primal-dual solution approach that provides the basis for integration using four main strategies. The first strategy tightly interweaves propagation from CP and relaxation from OR in a single solver. The second applies OR techniques to domain filtering in CP. The third decomposes the problem into a portion solved by CP and a portion solved by OR, using CP-based column generation or logic-based Benders decomposition. The fourth uses relaxed decision diagrams developed for CP propagation to help solve dynamic programming models in OR. The paper cites a significant fraction of the literature on CP/OR integration and concludes with future perspectives. Keywords Constraint Programming, Operations Research, Hybrid Optimization 1 Introduction Constraint programming (CP) and operations research (OR) have the same overall goal. They strive to capture a real-world situation in a mathematical model and solve it efficiently. Both fields use constraints to build the model, often in conjunction with an objective function to evaluate solutions. It is therefore only natural that the two fields join forces to solve problems. J. N. Hooker Carnegie Mellon University, Pittsburgh, USA E-mail: [email protected] W.-J. van Hoeve Carnegie Mellon University, Pittsburgh, USA E-mail: [email protected] 2 J. N. -
Chapter 1 GLOBAL CONSTRAINTS and FILTERING ALGORITHMS
Chapter 1 GLOBAL CONSTRAINTS AND FILTERING ALGORITHMS Jean-Charles R´egin ILOG 1681, route des Dolines, Sophia Antipolis, 06560 Valbonne, France [email protected] Abstract Constraint programming (CP) is mainly based on filtering algorithms; their association with global constraints is one of the main strengths of CP. This chapter is an overview of these two techniques. Some of the most frequently used global constraints are presented. In addition, the filtering algorithms establishing arc consistency for two useful con- straints, the alldiff and the global cardinality constraints, are fully de- tailed. Filtering algorithms are also considered from a theoretical point of view: three different ways to design filtering algorithms are described and the quality of the filtering algorithms studied so far is discussed. A categorization is then proposed. Over-constrained problems are also mentioned and global soft constraints are introduced. Keywords: Global constraint, filtering algorithm, arc consistency, alldiff, global car- dinality constraint, over-constrained problems, global soft constraint, graph theory, matching. 1. Introduction A constraint network (CN) consists of a set of variables; domains of possible values associated with each of these variables; and a set of con- straints that link up the variables and define the set of combinations of values that are allowed. The search for an instantiation of all vari- ables that satisfies all the constraints is called a Constraint Satisfaction Problem (CSP), and such an instantiation is called a solution of a CSP. A lot of problems can be easily coded in terms of CSP. For instance, CSP has already been used to solve problems of scene analysis, place- 1 2 ment, resource allocation, crew scheduling, time tabling, scheduling, fre- quency allocation, car sequencing, and so on. -
Answer Set Programming
ANSWER SET PROGRAMMING Tran Cao Son Department of Computer Science New Mexico State University Las Cruces, NM 88011, USA [email protected] http://www.cs.nmsu.edu/~tson October 2005 Answer Set Programming. Acknowledgement This tutorial contains some materials from tutorials on answer set programming and on knowledge representation and logic programming from those provided by • Chitta Baral, available at www.public.asu.edu/~cbaral. • Michael Gelfond, available at www.cs.ttu.ued/~mgelfond. Tran Cao Son 1 Answer Set Programming. Introduction — Answer Set Programming Answer set programming is a new programming paradigm. It is introduced in the late 90’s and manages to attracts the intention of different groups of researchers thanks to its: • declarativeness: programs do not specify how answers are computed; • modularity: programs can be developed incrementally; • expressiveness: answer set programming can be used to solve problems in high 2 complexity classes (e.g. ΣP , Π2P , etc.) Answer set programming has been applied in several areas: reasoning about actions and changes, planning, configuration, wire routing, phylogenetic inference, semantic web, information integration, etc. Tran Cao Son 2 Answer Set Programming. Purpose • Introduce answer set programming • Provide you with some initial references, just in case • ...you get excited about answer set programming Tran Cao Son 3 Answer Set Programming. Outline • Foundation of answer set programming: logic programming with answer set semantics (syntax, semantics, early application). • Answer set programming: general ideas and examples • Application of answer set programming in – Knowledge representation – Constraint satisfaction problem – Combinatoric problems – Reasoning about action and change – Planning and diagnostic reasoning • Current issues Tran Cao Son 4 LOGIC PROGRAMMING AND ANSWER SET SEMANTICS Answer Set Programming. -
Approaches and Applications of Inductive Programming
Report from Dagstuhl Seminar 17382 Approaches and Applications of Inductive Programming Edited by Ute Schmid1, Stephen H. Muggleton2, and Rishabh Singh3 1 Universität Bamberg, DE, [email protected] 2 Imperial College London, GB, [email protected] 3 Microsoft Research – Redmond, US, [email protected] Abstract This report documents the program and the outcomes of Dagstuhl Seminar 17382 “Approaches and Applications of Inductive Programming”. After a short introduction to the state of the art to inductive programming research, an overview of the introductory tutorials, the talks, program demonstrations, and the outcomes of discussion groups is given. Seminar September 17–20, 2017 – http://www.dagstuhl.de/17382 1998 ACM Subject Classification I.2.2 Automatic Programming, Program Synthesis Keywords and phrases inductive program synthesis, inductive logic programming, probabilistic programming, end-user programming, human-like computing Digital Object Identifier 10.4230/DagRep.7.9.86 Edited in cooperation with Sebastian Seufert 1 Executive summary Ute Schmid License Creative Commons BY 3.0 Unported license © Ute Schmid Inductive programming (IP) addresses the automated or semi-automated generation of computer programs from incomplete information such as input-output examples, constraints, computation traces, demonstrations, or problem-solving experience [5]. The generated – typically declarative – program has the status of a hypothesis which has been generalized by induction. That is, inductive programming can be seen as a special approach to machine learning. In contrast to standard machine learning, only a small number of training examples is necessary. Furthermore, learned hypotheses are represented as logic or functional programs, that is, they are represented on symbol level and therefore are inspectable and comprehensible [17, 8, 18]. -
A Meta-Programming Technique for Debugging Answer-Set Programs∗
A Meta-Programming Technique for Debugging Answer-Set Programs∗ Martin Gebser1, Jorg¨ Puhrer¨ 2, Torsten Schaub1, and Hans Tompits2 1 Institut fur¨ Informatik, Universitat¨ Potsdam, Germany, {gebser,torsten}@cs.uni-potsdam.de 2 Institut fur¨ Informationssysteme 184/3, Technische Universitat¨ Wien, Austria, {puehrer,tompits}@kr.tuwien.ac.at Abstract applying such an approach to ASP results in some deci- sive drawbacks, undermining the declarativity of answer- Answer-set programming (ASP) is widely recognised as a vi- able tool for declarative problem solving. However, there is set semantics. In particular, establishing canonical tracing- currently a lack of tools for developing answer-set programs. based techniques for debugging answer-set programs re- In particular, providing tools for debugging answer-set pro- quires also a canonical procedure for answer-set computa- grams has recently been identified as a crucial prerequisite tion, and programmers would have to be familiar with the al- for a wider acceptance of ASP. In this paper, we introduce a gorithm. This would lead to a shift of perspectives in which meta-programming technique for debugging in ASP. The ba- an answer-set program is degraded from a declarative prob- sic question we address is why interpretations expected to be lem description to a set of parameters for a static solving answer sets are not answer sets of the program to debug. We algorithm. Therefore, we argue for declarative debugging thus deal with finding semantical errors of programs. The ex- strategies that are independent of answer-set computation. planations provided by our method are based on an intuitive Indeed, among the few approaches dealing with debug- scheme of errors that relies on a recent characterisation of the answer-set semantics. -
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Journal of Artificial Intelligence Research 1 (1993) 1-15 Submitted 6/91; published 9/91 Inductive logic programming at 30: a new introduction Andrew Cropper [email protected] University of Oxford Sebastijan Dumanˇci´c [email protected] KU Leuven Abstract Inductive logic programming (ILP) is a form of machine learning. The goal of ILP is to in- duce a hypothesis (a set of logical rules) that generalises given training examples. In contrast to most forms of machine learning, ILP can learn human-readable hypotheses from small amounts of data. As ILP approaches 30, we provide a new introduction to the field. We introduce the necessary logical notation and the main ILP learning settings. We describe the main building blocks of an ILP system. We compare several ILP systems on several dimensions. We describe in detail four systems (Aleph, TILDE, ASPAL, and Metagol). We document some of the main application areas of ILP. Finally, we summarise the current limitations and outline promising directions for future research. 1. Introduction A remarkable feat of human intelligence is the ability to learn new knowledge. A key type of learning is induction: the process of forming general rules (hypotheses) from specific obser- vations (examples). For instance, suppose you draw 10 red balls out of a bag, then you might induce a hypothesis (a rule) that all the balls in the bag are red. Having induced this hypothesis, you can predict the colour of the next ball out of the bag. The goal of machine learning (ML) (Mitchell, 1997) is to automate induction. -
Bias Reformulation for One-Shot Function Induction
Bias reformulation for one-shot function induction Dianhuan Lin1 and Eyal Dechter1 and Kevin Ellis1 and Joshua B. Tenenbaum1 and Stephen H. Muggleton2 Abstract. In recent years predicate invention has been under- Input Output explored as a bias reformulation mechanism within Inductive Logic Task1 miKe dwIGHT Mike Dwight Programming due to difficulties in formulating efficient search mech- Task2 European Conference on ECAI anisms. However, recent papers on a new approach called Meta- Artificial Intelligence Interpretive Learning have demonstrated that both predicate inven- Task3 My name is John. John tion and learning recursive predicates can be efficiently implemented for various fragments of definite clause logic using a form of abduc- tion within a meta-interpreter. This paper explores the effect of bias reformulation produced by Meta-Interpretive Learning on a series Figure 1. Input-output pairs typifying string transformations in this paper of Program Induction tasks involving string transformations. These tasks have real-world applications in the use of spreadsheet tech- nology. The existing implementation of program induction in Mi- crosoft’s FlashFill (part of Excel 2013) already has strong perfor- problems are easy for us, but often difficult for automated systems, mance on this problem, and performs one-shot learning, in which a is that we bring to bear a wealth of knowledge about which kinds of simple transformation program is generated from a single example programs are more or less likely to reflect the intentions of the person instance and applied to the remainder of the column in a spreadsheet. who wrote the program or provided the example. However, no existing technique has been demonstrated to improve There are a number of difficulties associated with successfully learning performance over a series of tasks in the way humans do. -
Prolog Lecture 6
Prolog lecture 6 ● Solving Sudoku puzzles ● Constraint Logic Programming ● Natural Language Processing Playing Sudoku 2 Make the problem easier 3 We can model this problem in Prolog using list permutations Each row must be a permutation of [1,2,3,4] Each column must be a permutation of [1,2,3,4] Each 2x2 box must be a permutation of [1,2,3,4] 4 Represent the board as a list of lists [[A,B,C,D], [E,F,G,H], [I,J,K,L], [M,N,O,P]] 5 The sudoku predicate is built from simultaneous perm constraints sudoku( [[X11,X12,X13,X14],[X21,X22,X23,X24], [X31,X32,X33,X34],[X41,X42,X43,X44]]) :- %rows perm([X11,X12,X13,X14],[1,2,3,4]), perm([X21,X22,X23,X24],[1,2,3,4]), perm([X31,X32,X33,X34],[1,2,3,4]), perm([X41,X42,X43,X44],[1,2,3,4]), %cols perm([X11,X21,X31,X41],[1,2,3,4]), perm([X12,X22,X32,X42],[1,2,3,4]), perm([X13,X23,X33,X43],[1,2,3,4]), perm([X14,X24,X34,X44],[1,2,3,4]), %boxes perm([X11,X12,X21,X22],[1,2,3,4]), perm([X13,X14,X23,X24],[1,2,3,4]), perm([X31,X32,X41,X42],[1,2,3,4]), perm([X33,X34,X43,X44],[1,2,3,4]). 6 Scale up in the obvious way to 3x3 7 Brute-force is impractically slow There are very many valid grids: 6670903752021072936960 ≈ 6.671 × 1021 Our current approach does not encode the interrelationships between the constraints For more information on Sudoku enumeration: http://www.afjarvis.staff.shef.ac.uk/sudoku/ 8 Prolog programs can be viewed as constraint satisfaction problems Prolog is limited to the single equality constraint: – two terms must unify We can generalise this to include other types of constraint Doing so leads