By Patrick Cousot (auth.), Berthe Y. Choueiry, Toby Walsh (eds.)
This quantity comprises the complaints of SARA 2000, the fourth Symposium on Abstraction, Reformulations, and Approximation (SARA). The convention used to be held at Horseshoe Bay inn and convention membership, Lake LBJ, Texas, July 26– 29, 2000, simply ahead of the AAAI 2000 convention in Austin. earlier SARA meetings happened at Jackson gap in Wyoming (1994), Ville d’Est´erel in Qu´ebec (1995), and Asilomar in California (1998). The symposium grewout of a chain of workshops on abstraction, approximation, and reformulation that had taken position along AAAI because 1989. This year’s symposium was once really scheduled to ensue at Lago Vista golf equipment & inn on Lake Travis yet, as a result resort’s failure to pay taxes, the convention needed to be moved overdue within the day. This mischance engendered eleventh-hour reformulations, abstractions, and source re-allocations of its personal. Such are the perils of organizing a convention. this can be the ?rst SARA for which the lawsuits were released within the LNAI sequence of Springer-Verlag. we are hoping that it is a re?ection of the elevated adulthood of the ?eld and that the elevated visibility introduced by way of the ebook of this quantity can help the self-discipline develop even additional. Abstractions, reformulations, and approximations (AR&A) have came upon - plications in quite a few disciplines and difficulties together with computerized progr- ming, constraint pride, layout, prognosis, desktop studying, making plans, qu- itative reasoning, scheduling, source allocation, and theorem proving. The - pers during this quantity trap a cross-section of those program domains.
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Extra resources for Abstraction, Reformulation, and Approximation: 4th International Symposium, SARA 2000 Horseshoe Bay, USA, July 26–29, 2000 Proceedings
1 and 2 respectively (Th. 13 and 21 respectively). In practice, this means that no full automation of the abstraction process is possible for inﬁnite-state transition systems (but for particular cases of limited interest such as speciﬁc classes of program speciﬁcations), since ﬁnding or computing the proper abstraction always boils down to making a full correctness proof. This appears to be a fundamental restriction to this popular approach [1, 2, 5, 20, 24, 25, 28, 33], and shows that some human assistance is ultimately necessary as long recognized in the use of abstract interpretation to design program static analyzers manually or with interactive computer assistance .
The third form of state abstraction results from constraints introduced by the structure of the hierarchy. For example, if a subtask is terminated in a state s, then there is no need to represent its completion cost in that state. For example, there is no need to represent C(root, s, put) in states where the passenger is not in the taxi, because the put is terminated in such states. Another structural constraint concerns implication relationships between a child task and its parent task. In some states, the termination predicate of the child task implies the termination predicate of the parent task.
Consequently, the amount of “training data” for a particular C(p, s, a) value increases, and that value can be determined more rapidly. For example, the taxi can learn how to get to location Y both when it is going to get the passenger who is waiting there and when it is going to put the passenger who is trying to get there. Figure 7 shows an experimental veriﬁcation of this for a version of the taxi task in which the four motion actions are stochastic. 2, the taxi instead moves in a direction perpendicular to the desired direction.