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Discovering laws as anomalies in logical worlds (2003)

by P Mukherji, L Schubert
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Discovering planning invariants as anomalies in state descriptions

by Proshanto Mukherji, Lenhart K. Schubert - In ICAPS-05 , 2005
"... Planning invariants are formulae that are true in every reachable state of a planning world. We describe a novel approach to the problem of discovering such invariants—by analyzing only a reachable state of the planning domain, and not its operators. Our system works by exploiting perceived patterns ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
Planning invariants are formulae that are true in every reachable state of a planning world. We describe a novel approach to the problem of discovering such invariants—by analyzing only a reachable state of the planning domain, and not its operators. Our system works by exploiting perceived patterns and anomalies in the state description: It hypothesizes that patterns that are very unlikely to have arisen by chance represent features of the planning world. We demonstrate that the number and types of laws we discover are comparable to those discovered by a system that uses complete operator descriptions in addition to a state description.
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...s very similar to that of mutual information; we use this one for computational efficiency.independence assumptions are made about the probability distributions over the possible worlds. Please see (=-=Mukherji & Schubert 2003-=-) for these technical details. In the example above, if sup w (P (x) ∨ Q(x)) = 99% and sup w (P (x)) and sup w (Q(x)) are both 90%, then corrw(P (x) ∨ Q(x)) = 0.99/(1 − 0.1 · 0.1) = 1; whereas if sup ...

State-based discovery and verification of propositional invariants

by Proshanto Mukherji - Proceedings of the 2006 International Conference on Artificial Intelligence. CSREA Press, Las Vegas, NV , 2005
"... Planning invariants are formulae that are true in every reachable state of a planning world. We describe a novel approach to the problem of discovering such invariants in propositional form—by analyzing only a set of reachable states of the planning domain, and not its operators. Our system works by ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Planning invariants are formulae that are true in every reachable state of a planning world. We describe a novel approach to the problem of discovering such invariants in propositional form—by analyzing only a set of reachable states of the planning domain, and not its operators. Our system works by exploiting perceived patterns of propositional covariance across the set of states: It hypothesizes that strongly-defined patterns represent features of the planning world. We demonstrate that, in practice, our system overwhelmingly produces correct invariants. Moreover, we compare it with a well-known system from the literature that uses complete operator descriptions, and show that it discovers a comparable number of invariants, and moreover, does so orders of magnitude faster. We also show how an existing operator-based invariant finder can be used to verify the correctness of the invariants we find, should operator information be available. We show that such hybrid systems can efficiently produce verifiably true invariants.
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...Many of the invariant identification systems in the literature (e.g. DISCOPLAN, TIM) generate invariants in first-order form. State-based approaches to that problem have been studied (see for example =-=[10, 11]-=-), but, in this paper, we will tackle the related problem of discovering propositional invariants from states. Propositional invariants are of particular interest because many modern planners—for exam...

Discovering Planning Invariants as Anomalies in State Descriptions

by unknown authors
"... Planning invariants are formulae that are true in every reachable state of a planning world. We describe a novel approach to the problem of discovering such invariants—by analyzing only a reachable state of the planning domain, and not its operators. Our system works by exploiting perceived patterns ..."
Abstract - Add to MetaCart
Planning invariants are formulae that are true in every reachable state of a planning world. We describe a novel approach to the problem of discovering such invariants—by analyzing only a reachable state of the planning domain, and not its operators. Our system works by exploiting perceived patterns and anomalies in the state description: It hypothesizes that patterns that are very unlikely to have arisen by chance represent features of the planning world. We demonstrate that the number and types of laws we discover are comparable to those discovered by a system that uses complete operator descriptions in addition to a state description.
(Show Context)

Citation Context

...s very similar to that of mutual information; we use this one for computational efficiency.sindependence assumptions are made about the probability distributions over the possible worlds. Please see (=-=Mukherji & Schubert 2003-=-) for these technical details. In the example above, if sup w (P (x) ∨ Q(x)) = 99% and sup w (P (x)) and sup w (Q(x)) are both 90%, then corrw(P (x) ∨ Q(x)) = 0.99/(1 − 0.1 · 0.1) = 1; whereas if sup ...

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