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Who Wins the Multi-Structural Game?
Ronald Fagin, Neil Immerman, Phokion Kolaitis +2
Combinatorial games played between two players, called Spoiler and Duplicator, have often been used to capture syntactic properties of formal logical languages. For instance, the w…
On the Number of Quantifiers Needed to Define Boolean Functions
Marco Carmosino, Ronald Fagin, Neil Immerman +3
The number of quantifiers needed to express first-order (FO) properties is captured by two-player combinatorial games called multi-structural games. We analyze these games on binar…
Parallel Play Saves Quantifiers
Marco Carmosino, Ronald Fagin, Neil Immerman +4
The number of quantifiers needed to express first-order properties is captured by two-player combinatorial games called multi-structural (MS) games. We play these games on linear o…