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Winning Strategies for Streaming Rewriting Games

Published: 12 August 2019 Publication History

Abstract

Context-free games on strings are two-player rewriting games based on a set of production rules and a regular target language. In each round, the first player selects a position of the current string; then the second player replaces the symbol at that position according to one of the production rules. The first player wins as soon as the current string belongs to the target language. In this paper the one-pass setting for context-free games is studied, where the knowledge of the first player is incomplete: She selects positions in a left-to-right fashion and only sees the current symbol and the symbols from previous rounds. The paper studies conditions under which dominant and undominated strategies exist for the first player, and when they can be chosen from restricted types of strategies that can be computed efficiently.

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Published In

cover image Guide Proceedings
Fundamentals of Computation Theory: 22nd International Symposium, FCT 2019, Copenhagen, Denmark, August 12-14, 2019, Proceedings
Aug 2019
371 pages
ISBN:978-3-030-25026-3
DOI:10.1007/978-3-030-25027-0

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 12 August 2019

Author Tags

  1. Context-free games
  2. Rewriting games
  3. Streaming
  4. Incomplete information
  5. strategies

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