Journal of Symbolic Logic

Parallel strategies

Pavel Pudlák

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Abstract

We consider combinatorial principles based on playing several two person games simultaneously. We call strategies for playing two or more games simultaneously parallel. The principles are easy consequences of the determinacy of games, in particular they are true for all finite games. We shall show that the principles fail for infinite games. The statements of these principles are of lower logical complexity than the sentence expressing the determinacy of games, therefore, they can be studied in weak axiomatic systems for arithmetic (Bounded Arithmetic). We pose several open problems about the provability of these statements in Bounded Arithmetic and related computational problems.

Article information

Source
J. Symbolic Logic, Volume 68, Issue 4 (2003), 1242-1250.

Dates
First available in Project Euclid: 31 October 2003

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1067620183

Digital Object Identifier
doi:10.2178/jsl/1067620183

Mathematical Reviews number (MathSciNet)
MR2017351

Zentralblatt MATH identifier
1055.03034

Citation

Pudlák, Pavel. Parallel strategies. J. Symbolic Logic 68 (2003), no. 4, 1242--1250. doi:10.2178/jsl/1067620183. https://projecteuclid.org/euclid.jsl/1067620183


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References

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