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Theory and Practice of Time-space Trade-offs in Memory Limited Search

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons45038

Meyer,  Ulrich
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Citation

Edelkamp, S., & Meyer, U. (2001). Theory and Practice of Time-space Trade-offs in Memory Limited Search. In F. Baader, G. Brewka, & T. Eiter (Eds.), KI 2001: Advances in Artificial Intelligence (pp. 169-184). Berlin: Springer.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-31C7-C
Abstract
We establish $O(n \log n)$ minimum-space algorithms that omit both the open and the closed list to determine the shortest path between every two nodes and study the gap in between full memorization in a hash table and the information-theoretic lower bound. The proposed structure of suffix-lists elaborates on a concise binary representation of states by applying bit-state hashing techniques. Significantly more states can be stored while searching and inserting $n$ items into suffix lists is still available in $O(n \log n)$ time. Bit-state hashing leads to the new paradigm of partial iterative-deepening heuristic search, in which full exploration is sacrificed for a better detection of duplicates in large search depth. We give first promising results in the application area of communication protocols.