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Theory and Practice of Logic Programming最新文献

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Integrating Logic Rules with Everything Else, Seamlessly 将逻辑规则与其他一切无缝集成
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s1471068423000108
YANHONG A. LIU, SCOTT D. STOLLER, YI TONG, BO LIN
Abstract This paper presents a language, Alda, that supports all of logic rules, sets, functions, updates, and objects as seamlessly integrated built-ins. The key idea is to support predicates in rules as set-valued variables that can be used and updated in any scope, and support queries using rules as either explicit or implicit automatic calls to an inference function. We have defined a formal semantics of the language, implemented a prototype compiler that builds on an object-oriented language that supports concurrent and distributed programming and on an efficient logic rule system, and successfully used the language and implementation on benchmarks and problems from a wide variety of application domains. We describe the compilation method and results of experimental evaluation.
本文提出了一种支持所有逻辑规则、集合、函数、更新和对象无缝集成的内置语言Alda。关键思想是支持规则中的谓词作为可在任何范围内使用和更新的集值变量,并支持使用规则作为对推理函数的显式或隐式自动调用的查询。我们已经定义了语言的形式化语义,实现了一个原型编译器,该编译器建立在一个支持并发和分布式编程的面向对象语言和一个有效的逻辑规则系统之上,并成功地将该语言和实现用于各种应用领域的基准测试和问题。介绍了实验评价的编制方法和结果。
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引用次数: 1
Embracing Background Knowledge in the Analysis of Actual Causality: An Answer Set Programming Approach 在实际因果关系分析中包含背景知识:一种答案集规划方法
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s1471068423000248
MICHAEL GELFOND, JORGE FANDINNO, EVGENII BALAI
Abstract This paper presents a rich knowledge representation language aimed at formalizing causal knowledge. This language is used for accurately and directly formalizing common benchmark examples from the literature of actual causality. A definition of cause is presented and used to analyze the actual causes of changes with respect to sequences of actions representing those examples.
摘要本文提出了一种丰富的知识表示语言,旨在形式化因果知识。这种语言用于准确而直接地形式化来自实际因果关系文献的通用基准示例。给出了原因的定义,并用于分析与代表这些例子的动作序列相关的变化的实际原因。
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引用次数: 0
Interactive Model Expansion in an Observable Environment 可观察环境中的交互模型扩展
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s1471068423000261
PIERRE CARBONNELLE, JOOST VENNEKENS, MARC DENECKER, BART BOGAERTS
Abstract Many practical problems can be understood as the search for a state of affairs that extends a fixed partial state of affairs, the environment , while satisfying certain conditions that are formally specified. Such problems are found in, for example, engineering, law or economics. We study this class of problems in a context where some of the relevant information about the environment is not known by the user at the start of the search. During the search, the user may consider tentative solutions that make implicit hypotheses about these unknowns. To ensure that the solution is appropriate, these hypotheses must be verified by observing the environment. Furthermore, we assume that, in addition to knowledge of what constitutes a solution, knowledge of general laws of the environment is also present. We formally define partial solutions with enough verified facts to guarantee the existence of complete and appropriate solutions. Additionally, we propose an interactive system to assist the user in their search by determining (1) which hypotheses implicit in a tentative solution must be verified in the environment, and (2) which observations can bring useful information for the search. We present an efficient method to over-approximate the set of relevant information, and evaluate our implementation.
许多实际问题可以被理解为寻找一种状态,这种状态扩展了固定的部分状态,即环境,同时满足某些形式指定的条件。这类问题在工程学、法学或经济学等领域都有发现。我们研究这类问题的背景是,用户在搜索开始时并不知道环境的一些相关信息。在搜索过程中,用户可能会考虑对这些未知数做出隐式假设的试探性解决方案。为了确保解决方案是合适的,必须通过观察环境来验证这些假设。此外,我们假设,除了了解构成解决方案的知识外,还存在关于环境一般规律的知识。我们正式地定义了具有足够验证事实的部分解,以保证完整解和适当解的存在。此外,我们提出了一个交互式系统,通过确定(1)临时解决方案中隐含的哪些假设必须在环境中得到验证,以及(2)哪些观察结果可以为搜索带来有用的信息,来帮助用户进行搜索。我们提出了一种有效的方法来过度逼近相关信息集,并对我们的实现进行了评价。
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引用次数: 0
Logic-Based Benders Decomposition in Answer Set Programming for Chronic Outpatients Scheduling 慢性病门诊就诊调度答案集规划中基于逻辑的弯曲分解
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s147106842300025x
PAOLA CAPPANERA, MARCO GAVANELLI, MADDALENA NONATO, MARCO ROMA
Abstract In answer set programming (ASP), the user can define declaratively a problem and solve it with efficient solvers; practical applications of ASP are countless and several constraint problems have been successfully solved with ASP. On the other hand, solution time usually grows in a superlinear way (often, exponential) with respect to the size of the instance, which is impractical for large instances. A widely used approach is to split the optimization problem into subproblems (SPs) that are solved in sequence, some committing to the values assigned by others, and reconstructing a valid assignment for the whole problem by juxtaposing the solutions of the single SPs. On the one hand, this approach is much faster due to the superlinear behavior; on the other hand, it does not provide any guarantee of optimality: committing to the assignment of one SP can rule out the optimal solution from the search space. In other research areas, logic-Based Benders decomposition (LBBD) proved effective; in LBBD, the problem is decomposed into a master problem (MP) and one or several SPs. The solution of the MP is passed to the SPs that can possibly fail. In case of failure, a no-good is returned to the MP that is solved again with the addition of the new constraint. The solution process is iterated until a valid solution is obtained for all the SPs or the MP is proven infeasible. The obtained solution is provably optimal under very mild conditions. In this paper, we apply for the first time LBBD to ASP, exploiting an application in health care as case study. Experimental results show the effectiveness of the approach. We believe that the availability of LBBD can further increase the practical applicability of ASP technologies.
在答案集编程(ASP)中,用户可以声明性地定义一个问题,并使用高效的求解器进行求解;ASP的实际应用数不胜数,已经成功地解决了一些约束问题。另一方面,对于实例的大小,求解时间通常以超线性(通常是指数)的方式增长,这对于大型实例来说是不切实际的。一种广泛使用的方法是将优化问题分解成顺序求解的子问题,其中一些子问题使用其他子问题的赋值,然后通过并置单个子问题的解来重建整个问题的有效赋值。一方面,由于超线性行为,这种方法要快得多;另一方面,它不提供任何最优性保证:只分配一个SP可能会从搜索空间中排除最优解。在其他研究领域,基于逻辑的Benders分解(LBBD)被证明是有效的;在LBBD中,问题被分解为一个主问题(MP)和一个或几个主问题(sp)。MP的解决方案被传递给可能出现故障的sp。在失败的情况下,将一个no-good返回给MP,并通过添加新约束再次解决该问题。迭代求解过程,直到得到所有sp的有效解或证明MP不可行为止。所得解在非常温和的条件下是最优的。本文首次将LBBD应用于ASP,并以其在医疗保健中的应用为例进行了研究。实验结果表明了该方法的有效性。我们相信,LBBD的可用性可以进一步提高ASP技术的实际适用性。
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引用次数: 0
Learnability with PAC Semantics for Multi-agent Beliefs 多智能体信念PAC语义的可学习性
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s1471068423000182
IONELA G. MOCANU, VAISHAK BELLE, BRENDAN JUBA
Abstract The tension between deduction and induction is perhaps the most fundamental issue in areas such as philosophy, cognition, and artificial intelligence. In an influential paper, Valiant recognized that the challenge of learning should be integrated with deduction. In particular, he proposed a semantics to capture the quality possessed by the output of probably approximately correct (PAC) learning algorithms when formulated in a logic. Although weaker than classical entailment, it allows for a powerful model-theoretic framework for answering queries. In this paper, we provide a new technical foundation to demonstrate PAC learning with multi-agent epistemic logics. To circumvent the negative results in the literature on the difficulty of robust learning with the PAC semantics, we consider so-called implicit learning where we are able to incorporate observations to the background theory in service of deciding the entailment of an epistemic query. We prove correctness of the learning procedure and discuss results on the sample complexity, that is how many observations we will need to provably assert that the query is entailed given a user-specified error bound. Finally, we investigate under what circumstances this algorithm can be made efficient. On the last point, given that reasoning in epistemic logics especially in multi-agent epistemic logics is PSPACE-complete, it might seem like there is no hope for this problem. We leverage some recent results on the so-called Representation Theorem explored for single-agent and multi-agent epistemic logics with the only knowing operator to reduce modal reasoning to propositional reasoning.
演绎与归纳法之间的紧张关系可能是哲学、认知和人工智能等领域最根本的问题。在一篇有影响力的论文中,Valiant认识到学习的挑战应该与推理相结合。特别是,他提出了一种语义,用于捕获在逻辑中表述时可能近似正确(PAC)学习算法的输出所具有的质量。虽然比经典蕴涵弱,但它允许一个强大的模型理论框架来回答查询。本文为用多智能体认知逻辑来演示PAC学习提供了一个新的技术基础。为了规避文献中关于使用PAC语义进行稳健学习困难的负面结果,我们考虑了所谓的内隐学习,在这种学习中,我们能够将观察结果纳入背景理论,以决定认知查询的蕴涵。我们证明了学习过程的正确性,并讨论了样本复杂性的结果,即在给定用户指定的错误界限的情况下,我们需要多少个观察值来证明查询是必需的。最后,我们研究了在什么情况下该算法是有效的。最后一点,考虑到认知逻辑中的推理,特别是多智能体认知逻辑中的推理是pspace完全的,这个问题似乎没有希望。我们利用所谓的表征定理的一些最新成果,探索了单智能体和多智能体的认知逻辑,并使用唯一知道算子将模态推理简化为命题推理。
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引用次数: 0
Non-deterministic Approximation Operators: Ultimate Operators, Semi-equilibrium Semantics, and Aggregates 非确定性近似算子:极限算子、半平衡语义和聚合
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s1471068423000236
JESSE HEYNINCK, BART BOGAERTS
Abstract Approximation fixpoint theory (AFT) is an abstract and general algebraic framework for studying the semantics of non-monotonic logics. In recent work, AFT was generalized to non-deterministic operators, that is, operators whose range are sets of elements rather than single elements. In this paper, we make three further contributions to non-deterministic AFT: (1) we define and study ultimate approximations of non-deterministic operators, (2) we give an algebraic formulation of the semi-equilibrium semantics by Amendola et al ., and (3) we generalize the characterizations of disjunctive logic programs to disjunctive logic programs with aggregates.
逼近不动点理论(AFT)是研究非单调逻辑语义的一个抽象的、通用的代数框架。在最近的工作中,AFT被推广到非确定性算子,即范围是元素集合而不是单个元素的算子。在本文中,我们对非确定性AFT作了三个进一步的贡献:(1)我们定义并研究了非确定性算子的极限逼近;(2)我们给出了Amendola等人的半平衡语义的代数表述;(3)我们将析取逻辑规划的特征推广到具有聚集的析取逻辑规划。
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引用次数: 0
External Behavior of a Logic Program and Verification of Refactoring 逻辑程序的外部行为与重构的验证
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s1471068423000200
JORGE FANDINNO, ZACHARY HANSEN, YULIYA LIERLER, VLADIMIR LIFSCHITZ, NATHAN TEMPLE
Abstract Refactoring is modifying a program without changing its external behavior. In this paper, we make the concept of external behavior precise for a simple answer set programming language. Then we describe a proof assistant for the task of verifying that refactoring a program in that language is performed correctly.
重构是在不改变程序外部行为的情况下修改程序。在本文中,我们将外部行为的概念精确化为一种简单的答案集编程语言。然后,我们描述了一个证明助手,用于验证用该语言重构程序是否正确执行。
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引用次数: 1
An ASP Framework for the Refinement of Authorization and Obligation Policies 用于细化授权和义务策略的ASP框架
2区 数学 Q2 Computer Science Pub Date : 2023-07-01 DOI: 10.1017/s147106842300011x
DANIELA INCLEZAN
Abstract This paper introduces a framework for assisting policy authors in refining and improving their policies. In particular, we focus on authorization and obligation policies that can be encoded in Gelfond and Lobo’s $mathscr{AOPL}$ language for policy specification. We propose a framework that detects the statements that make a policy inconsistent, underspecified, or ambiguous with respect to an action being executed in a given state. We also give attention to issues that arise at the intersection of authorization and obligation policies, for instance when the policy requires an unauthorized action to be executed. The framework is encoded in Answer Set Programming.
本文介绍了一个帮助政策制定者完善和改进政策的框架。我们特别关注授权和义务策略,这些策略可以用Gelfond和Lobo的$mathscr{AOPL}$语言编码,用于策略规范。我们提出了一个框架,该框架可以检测与在给定状态下执行的操作相关的使策略不一致、未指定或不明确的语句。我们还关注授权和义务策略交叉出现的问题,例如,当策略要求执行未经授权的操作时。该框架在答案集编程中编码。
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引用次数: 1
Knowledge-based Reasoning and Learning under Partial Observability in Ad Hoc Teamwork Ad Hoc团队中部分可观察性下的知识推理与学习
2区 数学 Q2 Computer Science Pub Date : 2023-06-26 DOI: 10.1017/s1471068423000091
HASRA DODAMPEGAMA, MOHAN SRIDHARAN
Abstract Ad hoc teamwork (AHT) refers to the problem of enabling an agent to collaborate with teammates without prior coordination. State of the art methods in AHT are data-driven , using a large labeled dataset of prior observations to model the behavior of other agent types and to determine the ad hoc agent’s behavior. These methods are computationally expensive, lack transparency, and make it difficult to adapt to previously unseen changes. Our recent work introduced an architecture that determined an ad hoc agent’s behavior based on non-monotonic logical reasoning with prior commonsense domain knowledge and models learned from limited examples to predict the behavior of other agents. This paper describes KAT, a knowledge-driven architecture for AHT that substantially expands our prior architecture’s capabilities to support: (a) online selection, adaptation, and learning of the behavior prediction models; and (b) collaboration with teammates in the presence of partial observability and limited communication. We illustrate and experimentally evaluate KAT’s capabilities in two simulated benchmark domains for multiagent collaboration: Fort Attack and Half Field Offense. We show that KAT’s performance is better than a purely knowledge-driven baseline, and comparable with or better than a state of the art data-driven baseline, particularly in the presence of limited training data, partial observability, and changes in team composition.
Ad hoc团队合作(AHT)是指在没有事先协调的情况下,使一个agent能够与队友进行协作的问题。AHT中最先进的方法是数据驱动的,使用先前观察的大型标记数据集来模拟其他代理类型的行为并确定特设代理的行为。这些方法在计算上很昂贵,缺乏透明性,并且很难适应以前看不见的变化。我们最近的工作介绍了一种架构,该架构基于非单调逻辑推理,利用先前的常识领域知识和从有限示例中学习的模型来预测其他代理的行为。本文描述了KAT,一种用于AHT的知识驱动架构,它大大扩展了我们先前架构的能力,以支持:(a)行为预测模型的在线选择、适应和学习;(b)在存在部分可观测性和有限通信的情况下与队友合作。我们在多智能体协作的两个模拟基准领域(堡垒攻击和半场进攻)中演示并实验评估了KAT的能力。我们表明KAT的性能优于纯粹的知识驱动基线,并且可以与最先进的数据驱动基线相媲美或更好,特别是在有限的训练数据、部分可观察性和团队组成变化的情况下。
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引用次数: 0
System Predictor: Grounding Size Estimator for Logic Programs under Answer Set Semantics 系统预测器:答案集语义下逻辑程序的接地大小估计器
2区 数学 Q2 Computer Science Pub Date : 2023-06-22 DOI: 10.1017/s1471068423000078
DANIEL BRESNAHAN, NICHOLAS HIPPEN, YULIYA LIERLER
Abstract Answer set programming is a declarative logic programming paradigm geared towards solving difficult combinatorial search problems. While different logic programs can encode the same problem, their performance may vary significantly. It is not always easy to identify which version of the program performs the best. We present the system predictor (and its algorithmic backend) for estimating the grounding size of programs, a metric that can influence a performance of a system processing a program. We evaluate the impact of predictor when used as a guide for rewritings produced by the answer set programming rewriting tools projector and lpopt . The results demonstrate potential to this approach.
摘要答案集编程是一种面向复杂组合搜索问题的声明式逻辑编程范式。虽然不同的逻辑程序可以编码相同的问题,但它们的性能可能差别很大。要确定哪个版本的程序性能最好并不总是容易的。我们提出了系统预测器(及其算法后端),用于估计程序的接地大小,这是一个可以影响系统处理程序性能的度量。我们评估了预测器的影响,当它被用作由答案集编程重写工具投影仪和lpopt产生的重写指南时。结果证明了这种方法的潜力。
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引用次数: 0
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Theory and Practice of Logic Programming
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