Logic & Formal Reasoning
Challenges in Learning Optimum Models for Complex First Order Activity Recognition Settings
Nair, Naveen (IITB-Monash Research Academy, IIT Bombay, Monash University.) | Saha, Amrita (IIT Bombay) | Ramakrishnan, Ganesh (IIT Bombay) | Krishnaswamy, Shonali (Institute of Infocomm Research and Monash University)
Non intrusive activity recognition systems typically read values from sensors deployed in an environment and combine them with user annotated activities to build a probabilistic model. Recently, features constructed from activity specific conjunctions of binary sensor values have been shown to improve the classification accuracy. Such systems employ greedy feature induction techniques to find the observation features and combine them with state transition distribution in a Hidden Markov Model or a Conditional Random Field. An exhaustive search for optimum features is infeasible in this exponential feature space. We have recently extended the rule ensemble learning using hierarchical kernels (RELHKL) framework, that learns a sparse set of simple features and their optimum weights, to structured output spaces for learning optimum observation features along with the transition features and their weights. The exponentially large space of conjunctions is handled efficiently by exploiting its hierarchical structure. Our experiments have shown good improvement over other approaches. Although such approaches solve propositional classification problems optimally, their first-order extension is non-trivial and is a challenging problem. In this paper, we discuss about the challenges involved in leveraging the RELHKL in structured output spaces approach to learn optimum features in complex first order activity recognition settings.
Ordered Completion for Logic Programs with Aggregates
Asuncion, Vernon (University of Western Sydney) | Zhang, Yan (University of Western Sydney) | Zhou, Yi (University of Western Sydney)
Hence, we are mainly In the last three decades, Answer Set Programming (ASP) focused on (anti)monotone aggregates. Even for this case, has emerged as a predominant declarative programming the task is still very complicated as aggregate atoms, on one paradigm in the area of knowledge representation and logic hand, can express some features of existential quantifiers, programming (Baral 2003). One of the main focuses of recent and on the other hand, contribute to the loops (Chen et al. advances in ASP is first-order answer set programming 2006; Lee and Meng 2009) of the program.
Equality-Friendly Well-Founded Semantics and Applications to Description Logics
Gottlob, Georg (University of Oxford) | Hernich, André (Humboldt-Universitaet zu Berlin) | Kupke, Clemens (University of Oxford) | Lukasiewicz, Thomas (University of Oxford)
We tackle the problem of defining a well-founded semantics for Datalog rules with existentially quantified variables in their heads and negations in their bodies. In particular, we provide a well-founded semantics (WFS) for the recent Datalog+/- family of ontology languages, which covers several important description logics (DLs). To do so, we generalize Datalog+/- by non-stratified nonmonotonic negation in rule bodies, and we define a WFS for this generalization via guarded fixed-point logic. We refer to this approach as equality-friendly WFS, since it has the advantage that it does not make the unique name assumption (UNA); this brings it close to OWL and its profiles as well as typical DLs, which also do not make the UNA. We prove that for guarded Datalog+/- with negation under the equality-friendly WFS, conjunctive query answering is decidable, and we provide precise complexity results for this problem. From these results, we obtain precise definitions of the standard WFS extensions of EL and of members of the DL-Lite family, as well as corresponding complexity results for query answering.
Temporally Expressive Planning Based on Answer Set Programming with Constraints
Bao, Forrest Sheng (Texas Tech University) | Zhang, Yuanlin (Texas Tech University)
Recently, a new language AC(C) was proposed to integrate answer set programming (ASP) and constraint logic programming (CLP). In this paper, we show that temporally expressive planning problems in PDDL2.1 can be translated into AC(C) and solved using AC(C) solvers. Compared with existing approaches, the new approach puts less restrictions on the planning problems and is easy to extend with new features like PDDL axioms. It can also leverage the inference engine for AC(C) which has the potential to exploit the best reasoning mechanisms developed in the ASP, SAT and CP communities.
Inconsistency Management for Traffic Regulations
Beck, Harald (Vienna University of Technology) | Eiter, Thomas (Vienna University of Technology) | Krennwallner, Thomas (Vienna University of Technology)
Smart Cities is a vision driven by the availability of governmental data that fosters many challenging applications. One of them is the management of inconsistent traffic regulations, i.e., the handling of inconsistent traffic signs and measures in urban areas such as wrong sign posting, or errors in data acquisition in traffic sign administration software. We investigate such inconsistent traffic scenarios and formally model traffic regulations. Based on this, we consider relevant reasoning tasks including consistency testing, diagnosis, and repair, and present an implementation of the these tasks using answer set programming. The results of this research may improve existing governmental software maintaining traffic regulations.
Action-Based Imperative Programming with YAGI
Ferrein, Alexander (FH Aachen University of Applied Sciences) | Steinbauer, Gerald (Graz University of Technology) | Vassos, Stavros (National and Kapodistrian University of Athens)
Many tasks for autonomous agents or robots are best de- scribed by a specification of the environment and a specifi- cation of the available actions the agent or robot can perform. Combining such a specification with the possibility to imper- atively program a robot or agent is what we call the action- based imperative programming. One of the most successful such approaches is Golog. In this paper, we draft a proposal for a new robot program- ming language YAGI, which is based on the action-based imperative programming paradigm. Our goal is to design a small, portable stand-alone YAGI interpreter. We combine the benefits of a principled domain specification with a clean, small and simple programming language, which does not ex- ploit any side-effects from the implementation language. We discuss general requirements of action-based programming languages and outline YAGI, our action-based language ap- proach which particularly aims at embeddability.
SMT-Based Verification of Hybrid Systems
Cimatti, Alessandro (Fondazione Bruno Kessler) | Mover, Sergio (Fondazione Bruno Kessler) | Tonetta, Stefano (Fondazione Bruno Kessler)
Hybrid automata networks (HAN) are a powerful formalism to model complex embedded systems. In this paper, we survey the recent advances in the application of Satisfiability Modulo Theories (SMT) to the analysis of HAN. SMT can be seen as an extended form of Boolean satisfiability (SAT), where literals are interpreted with respect to a background theory (e.g. linear arithmetic). HAN can be symbolically represented by means of SMT formulae, and analyzed by generalizing to the case of SMT the traditional model checking algorithms based on SAT.
A Tractable First-Order Probabilistic Logic
Domingos, Pedro (University of Washington) | Webb, William Austin (University of Washington)
Tractable subsets of first-order logic are a central topic in AI research. Several of these formalisms have been used as the basis for first-order probabilistic languages. However, these are intractable, losing the original motivation. Here we propose the first non-trivially tractable first-order probabilistic language. It is a subset of Markov logic, and uses probabilistic class and part hierarchies to control complexity. We call it TML (Tractable Markov Logic). We show that TML knowledge bases allow for efficient inference even when the corresponding graphical models have very high treewidth. We also show how probabilistic inheritance, default reasoning, and other inference patterns can be carried out in TML. TML opens up the prospect of efficient large-scale first-order probabilistic inference.
Using First-Order Logic to Compress Sentences
Huang, Minlie (Tsinghua University) | Shi, Xing (Tsinghua University) | Jin, Feng (Tsinghua University) | Zhu, Xiaoyan (Tsinghua University)
Sentence compression is one of the most challenging tasks in natural language processing,which may be of increasing interest to many applicationssuch as abstractive summarization and text simplification for mobile devices.In this paper, we present a novel sentence compression model based on first-order logic, using Markov Logic Network.Sentence compression is formulated as a word/phrase deletion problem in this model.By taking advantage of first-order logic, the proposed method is able to incorporate local linguistic features and to capture global dependencies between word deletion operations. Experiments on both written and spoken corpora show that our approach produces competitive performance against the state-of-the-art methods in terms of manual evaluation measures such as importance, grammaticality, and overall quality.
Learning Games from Videos Guided by Descriptive Complexity
Kaiser, Lukasz (LIAFA, CNRS and Universite Paris Diderot)
In recent years, several systems have been proposed that learn the rules of a simple card or board game solely from visual demonstration. These systems were constructed for specific games and rely on substantial background knowledge. We introduce a general system for learning board game rules from videos and demonstrate it on several well-known games. The presented algorithm requires only a few demonstrations and minimal background knowledge, and, having learned the rules, automatically derives position evaluation functions and can play the learned games competitively. Our main technique is based on descriptive complexity, i.e. the logical means necessary to define a set of interest. We compute formulas defining allowed moves and final positions in a game in different logics and select the most adequate ones. We show that this method is well-suited for board games and there is strong theoretical evidence that it will generalize to other problems.