Mathematics
2 years ago

Clopen determinacy found weaker than open determinacy in class games.

arXiv (Cornell University)
Determinacy separations for class games
Sherwood Hachtman

Paper Summary

Related papers

Theme background image
Computer Science
8 years ago

Concurrent games determinacy breakthrough: paving the way for fair competition.

Logic Programming
Program Verification
Computational Complexity
Theme background image
Social Sciences
9 months ago

Unlocking the Potential of Social Partnerships to Elevate Future Educators

Universities Impact
Digital Transformation
Entrepreneurship
13 views
Theme background image
Mathematics
2 years ago

Clopen determinacy found weaker than open determinacy in class games.

Model Theory
Computational Complexity
Monetary Models
1 view

In games with lots of moves, clopen determinacy is weaker than open determinacy. By analyzing a level of LLL under certain assumptions, we found this result. This applies to various mathematical settings like arithmetic. We also figured out the strength of Borel determinacy for these games.