Winning strategies for streaming rewriting games

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 rule...

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Main Authors: Coester, Christian, Schwentick, T, Schuster, M
Format: Conference item
Language:English
Published: Springer 2019
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author Coester, Christian
Schwentick, T
Schuster, M
author_facet Coester, Christian
Schwentick, T
Schuster, M
author_sort Coester, Christian
collection OXFORD
description 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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spelling oxford-uuid:09991532-12fb-4989-b5b0-17b39dd004612023-03-30T15:05:40ZWinning strategies for streaming rewriting gamesConference itemhttp://purl.org/coar/resource_type/c_5794uuid:09991532-12fb-4989-b5b0-17b39dd00461EnglishSymplectic ElementsSpringer2019Coester, ChristianSchwentick, TSchuster, MContext-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.
spellingShingle Coester, Christian
Schwentick, T
Schuster, M
Winning strategies for streaming rewriting games
title Winning strategies for streaming rewriting games
title_full Winning strategies for streaming rewriting games
title_fullStr Winning strategies for streaming rewriting games
title_full_unstemmed Winning strategies for streaming rewriting games
title_short Winning strategies for streaming rewriting games
title_sort winning strategies for streaming rewriting games
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AT schwentickt winningstrategiesforstreamingrewritinggames
AT schusterm winningstrategiesforstreamingrewritinggames