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Between MDPs and Semi-MDPs: A Framework for Temporal Abstraction in Reinforcement Learning

by Richard S. Sutton , Doina Precup , Satinder Singh , 1999
"... Learning, planning, and representing knowledge at multiple levels of temporal abstraction are key, longstanding challenges for AI. In this paper we consider how these challenges can be addressed within the mathematical framework of reinforcement learning and Markov decision processes (MDPs). We exte ..."
Abstract - Cited by 569 (38 self) - Add to MetaCart
Learning, planning, and representing knowledge at multiple levels of temporal abstraction are key, longstanding challenges for AI. In this paper we consider how these challenges can be addressed within the mathematical framework of reinforcement learning and Markov decision processes (MDPs). We

Representing Action and Change by Logic Programs

by Michael Gelfond, Vladimir Lifschitz - Journal of Logic Programming , 1993
"... We represent properties of actions in a logic programming language that uses both classical negation and negation as failure. The method is applicable to temporal projection problems with incomplete information, as well as to reasoning about the past. It is proved to be sound relative to a semantics ..."
Abstract - Cited by 414 (25 self) - Add to MetaCart
We represent properties of actions in a logic programming language that uses both classical negation and negation as failure. The method is applicable to temporal projection problems with incomplete information, as well as to reasoning about the past. It is proved to be sound relative to a

The DLV System for Knowledge Representation and Reasoning

by Nicola Leone, Gerald Pfeifer, Wolfgang Faber, Thomas Eiter, Georg Gottlob, Simona Perri, Francesco Scarcello - ACM Transactions on Computational Logic , 2002
"... Disjunctive Logic Programming (DLP) is an advanced formalism for knowledge representation and reasoning, which is very expressive in a precise mathematical sense: it allows to express every property of finite structures that is decidable in the complexity class ΣP 2 (NPNP). Thus, under widely believ ..."
Abstract - Cited by 456 (102 self) - Add to MetaCart
language, function-free disjunctive logic programs (also known as disjunctive datalog), extended by weak constraints, which are a powerful tool to express optimization problems. We then illustrate the usage of DLV as a tool for knowledge representation and reasoning, describing a new declarative

SIS: A System for Sequential Circuit Synthesis

by Ellen M. Sentovich, Kanwar Jit Singh, Luciano Lavagno, Cho Moon, Rajeev Murgai, Alexander Saldanha, Hamid Savoj, Paul R. Stephan, Robert K. Brayton, Alberto Sangiovanni-Vincentelli , 1992
"... SIS is an interactive tool for synthesis and optimization of sequential circuits. Given a state transition table, a signal transition graph, or a logic-level description of a sequential circuit, it produces an optimized net-list in the target technology while preserving the sequential input-output b ..."
Abstract - Cited by 527 (44 self) - Add to MetaCart
as both a framework within which various algorithms can be tested and compared, and as a tool for automatic synthesis and optimization of sequential circuits. This paper provides an overview of SIS. The first part contains descriptions of the input specification, STG (state transition graph) manipulation

A Logic for Reasoning about Time and Reliability

by Hans Hansson, Bengt Jonsson - Formal Aspects of Computing , 1994
"... We present a logic for stating properties such as, "after a request for service there is at least a 98% probability that the service will be carried out within 2 seconds". The logic extends the temporal logic CTL by Emerson, Clarke and Sistla with time and probabilities. Formulas are inter ..."
Abstract - Cited by 371 (1 self) - Add to MetaCart
We present a logic for stating properties such as, "after a request for service there is at least a 98% probability that the service will be carried out within 2 seconds". The logic extends the temporal logic CTL by Emerson, Clarke and Sistla with time and probabilities. Formulas

Control of Systems Integrating Logic, Dynamics, and Constraints

by Alberto Bemporad, Manfred Morari - Automatica , 1998
"... This paper proposes a framework for modeling and controlling systems described by interdependent physical laws, logic rules, and operating constraints, denoted as Mixed Logical Dynamical (MLD) systems. These are described by linear dynamic equations subject to linear inequalities involving real and ..."
Abstract - Cited by 413 (50 self) - Add to MetaCart
This paper proposes a framework for modeling and controlling systems described by interdependent physical laws, logic rules, and operating constraints, denoted as Mixed Logical Dynamical (MLD) systems. These are described by linear dynamic equations subject to linear inequalities involving real

Abstract interpretation and application to logic programs

by Patrick Cousot, Radhia Cousot , 1992
"... Abstract interpretation is a theory of semantics approximation which is usedfor the construction of semantics-basedprogram analysis algorithms (sometimes called“data flow analysis”), the comparison of formal semantics (e.g., construction of a denotational semantics from an operational one), the des ..."
Abstract - Cited by 317 (14 self) - Add to MetaCart
collection, useless occur-check elimination), program transformation (e.g., partial evaluation, parallelization), andeven program correctness proofs (e.g., termination proof). After a few simple introductory examples, we recall the classical framework for abstract interpretation of programs. Starting from a

System Description: Twelf --- A Meta-Logical Framework for Deductive Systems

by Frank Pfenning, Carsten Schurmann - Proceedings of the 16th International Conference on Automated Deduction (CADE-16 , 1999
"... . Twelf is a meta-logical framework for the specification, implementation, and meta-theory of deductive systems from the theory of programming languages and logics. It relies on the LF type theory and the judgments-as-types methodology for specification [HHP93], a constraint logic programming interp ..."
Abstract - Cited by 357 (54 self) - Add to MetaCart
. Twelf is a meta-logical framework for the specification, implementation, and meta-theory of deductive systems from the theory of programming languages and logics. It relies on the LF type theory and the judgments-as-types methodology for specification [HHP93], a constraint logic programming

Bucket Elimination: A Unifying Framework for Reasoning

by Rina Dechter
"... Bucket elimination is an algorithmic framework that generalizes dynamic programming to accommodate many problem-solving and reasoning tasks. Algorithms such as directional-resolution for propositional satisfiability, adaptive-consistency for constraint satisfaction, Fourier and Gaussian elimination ..."
Abstract - Cited by 298 (58 self) - Add to MetaCart
elimination for solving linear equalities and inequalities, and dynamic programming for combinatorial optimization, can all be accommodated within the bucket elimination framework. Many probabilistic inference tasks can likewise be expressed as bucket-elimination algorithms. These include: belief updating

A general approximation technique for constrained forest problems

by Michel X. Goemans, David P. Williamson - SIAM J. COMPUT. , 1995
"... We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph with trees, cycles, or paths satisfying certain requirements. In particular, many basic combinatorial optimization proble ..."
Abstract - Cited by 414 (21 self) - Add to MetaCart
problems fit in this framework, including the shortest path, minimum-cost spanning tree, minimum-weight perfect matching, traveling salesman, and Steiner tree problems. Our technique produces approximation algorithms that run in O(n log n) time and come within a factor of 2 of optimal for most
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