The goal of query conceptualization is to map instances in a query to concepts defined in a certain ontology or knowledge base. Queries usually do not observe the syntax of a written language, nor do they contain enough signals for statistical inference. However, the available context, i.e., the verbs related to the instances, the adjectives and attributes of the instances, do provide valuable clues to understand instances. In this paper, we first mine a variety of relations among terms from a large web corpus and map them to related concepts using a probabilistic knowledge base. Then, for a given query, we conceptualize terms in the query using a random walk based iterative algorithm. Finally, we examine our method on real data and compare it to representative previous methods. The experimental results show that our method achieves higher accuracy and efficiency in query conceptualization.

Planning with epistemic goals has received attention from both the dynamic logic and planning communities. In the single-agent case, under the epistemic closed-world assumption (ECWA), epistemic planning can be reduced to contingent planning. However, it is inappropriate to make the ECWA in some epistemic planning scenarios, for example, when the agent is not fully introspective, or when the agent wants to devise a generic plan that applies to a wide range of situations. In this paper, we propose a complete single-agent epistemic planner without the ECWA. We identify two normal forms of epistemic formulas: weak minimal epistemic DNF and weak minimal epistemic CNF, and present the progression and entailment algorithms based on these normal forms. We adapt the PrAO algorithm for contingent planning from the literature as the main planning algorithm and develop a complete epistemic planner called EPK. Our experimental results show that EPK can generate solutions effectively for most of the epistemic planning problems we have considered including those without the ECWA.

Instrumental variables (IVs) are widely used to identify causal effects. For this purpose IVs have to be exogenous, i.e., causally unrelated to all variables in the model except the explanatory variable X . It can be hard to find such variables. A generalized IV method has been proposed that only requires exogeneity conditional on a set of covariates. This leads to a wider choice of potential IVs, but is rarely used yet. Here we address two issues with conditional IVs. First, they are conceptually rather distant to standard IVs; even variables that are independent of X could qualify as conditional IVs. We propose a new concept called ancestral IV , which interpolates between the two existing notions. Second, so far only exponential-time algorithms are known to find conditional IVs in a given causal diagram. Indeed, we prove that this problem is NP-hard. Nevertheless, we show that whenever a conditional IV exists, so does an ancestral IV, and ancestral IVs can be found in polynomial time. Together this implies a complete and constructive solution to causal effect identification using IVs in linear causal models.

Trivia is any fact about an entity which is interesting due to its unusualness, uniqueness, unexpectedness or weirdness. In this paper, we propose a novel approach for mining entity trivia from their Wikipedia pages. Given an entity, our system extracts relevant sentences from its Wikipedia page and produces a list of sentences ranked based on their interestingness as trivia. At the heart of our system lies an interestingness ranker which learns the notion of interestingness, through a rich set of domain-independent linguistic and entity based features. Our ranking model is trained by leveraging existing user-generated trivia data available on the Web instead of creating new labeled data. We evaluated our system on movies domain and observed that the system performs significantly better than the defined baselines. A thorough qualitative analysis of the results revealed that our rich set of features indeed help in surfacing interesting trivia in the top ranks.

When Golog programs are used to control agents' behaviour in a high-level manner, their partial correctness naturally becomes an important concern. In this paper we propose a sound but incomplete method for automatic verification of partial correctness of Golog programs.  We introduce the notion of extended regression, which reduces partial correctness of Golog programs to first-order entailment problems.  During the process loop invariants are automatically discovered by heuristic methods.  We propose progression of small models wrt Golog programs, which are used to filter out too strong heuristic candidates.  In this way we combine the methods of static and dynamic analysis from the software engineering community.  Furthermore, our method can also be adapted to verify state constraints.  Experiments show that our method can not only handle sequential and nested loops uniformly in a reasonable among of time, but also be used to discover succinct and comprehensible loop invariants and state constraints.

Forgetting is an important mechanism for logic-based agent systems. A recent interest has been in the desirable properties of forgetting in answer set programming  (ASP)and their impact on the design of forgetting operators. It is known that some subsets of these propertiesare incompatible, i.e., they cannot be satisfied at the same time. In this paper, we are interested in the question onthe largest set Δ of pairs (Π, V), where Π is  a logic program and V is a set of atoms, such that a forgetting operator exists that satisfies all the desirable properties for each  (Π, V) in Δ.  We answer this question positively by discovering the precise condition under which the knowledge forgetting, a well-established approach to forgetting in ASP, satisfies the property of strong persistence, which leads to a sufficient and necessary condition for a forgetting operator to satisfy all the desirable properties proposed in the literature. We explore computational complexities on checking the condition and present a syntactic characterization which can serve as the basis of computing knowledge forgetting in ASP.

A consequence of a logic program is a consistent set of literals that are satisfied by every answer set. The well-founded model is a consequence that can be used to simplify the logic program. In this paper, we extend the notion of well-founded models to consequences for simplifying disjunctive logic programs (DLPs) in a general manner. Specifically, we provide two main notions, strong reliable set and weak reliable set, and show that a DLP is strongly equivalent to the simplified program if and only if the consequence is a strong reliable set, and they have the same answer sets if and only if the consequence is a weak reliable set. Then we provide computational complexity on identifying both notions. In addition, we provide an algorithm to compute some strong reliable sets and show that the approach is an extension of the well-founded model in simplifying logic programs.

Belief revision is concerned with incorporating new information into a pre-existing set of beliefs. When the new information comes from another agent, we must first determine if that agent should be trusted. In this paper, we define trust as a pre-processing step before revision. We emphasize that trust in an agent is often restricted to a particular domain of expertise. We demonstrate that this form of trust can be captured by associating a state partition with each agent, then relativizing all reports to this partition before revising.  We position the resulting family of trust-sensitive revision operators within the class of selective revision operators of Ferme and Hansson, and we examine its properties. In particular, we show how trust-sensitive revision is manipulable, in the sense that agents can sometimes have incentive to pass on misleading information.  When multiple reporting agents are involved, we use a distance function over states to represent differing degrees of trust; this ensures that the most trusted reports will be believed.

In a seminal paper, Lin and Reiter introduced the notion of progression for basic action theories in the situation calculus. Recently, Fang and Liu extended the situation calculus to account for multi-agent knowledge and belief change. In this paper, based on their framework, we investigate progression of both belief and knowledge in the single-agent propositional case. We first present a model-theoretic definition of progression of knowledge and belief. We show that for propositional actions, i.e., actions whose precondition axioms and successor state axioms are propositional formulas, progression of knowledge and belief reduces to forgetting in the logic of knowledge and belief, which we show is closed under forgetting. Consequently, we are able to show that for propositional actions, progression of knowledge and belief is always definable in the logic of knowledge and belief.

Justification logic originated from the study of the logic of proofs.  However, in a more general setting, it may be regarded as a kind of explicit epistemic logic. In such logic, the reasons why a fact is believed are explicitly represented as justification terms.  Traditionally, the modeling of uncertain beliefs is crucially important for epistemic reasoning. While graded modal logics interpreted with possibility theory semantics have been successfully applied to the representation and reasoning of uncertain beliefs, they cannot keep track of the reasons why an agent believes a fact. The objective of this paper is to extend the graded modal logics with explicit justifications. We introduce a possibilistic justification logic,  present its syntax and semantics, and investigate its meta-properties, such as soundness, completeness, and realizability.