A New Ehrenfeucht-Fraïssé Game for Dependence Logic
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| author | Puljujärvi, Joni Väänänen, Jouko |
| author_facet | Puljujärvi, Joni Väänänen, Jouko |
| contents | We define a new Ehrenfeucht-Fraïssé game for dependence logic. The previously known rendition of such a game was based on moves that are teams. Since teams can be massive, making team moves may be quite complicated. To remedy this, our new Ehrenfeucht-Fraïssé game for dependence logic has only moves that consist of single elements, as in the classical Ehrenfeucht-Fraïssé game of first order logic. A new feature of the game is that a player can declare that their move is made on the basis of certain previous moves only and thereby in a sense independent of other moves. We show that our game characterizes elementary equivalence in dependence logic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00812 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A New Ehrenfeucht-Fraïssé Game for Dependence Logic Puljujärvi, Joni Väänänen, Jouko Logic Logic in Computer Science 03C80 F.4.1 We define a new Ehrenfeucht-Fraïssé game for dependence logic. The previously known rendition of such a game was based on moves that are teams. Since teams can be massive, making team moves may be quite complicated. To remedy this, our new Ehrenfeucht-Fraïssé game for dependence logic has only moves that consist of single elements, as in the classical Ehrenfeucht-Fraïssé game of first order logic. A new feature of the game is that a player can declare that their move is made on the basis of certain previous moves only and thereby in a sense independent of other moves. We show that our game characterizes elementary equivalence in dependence logic. |
| title | A New Ehrenfeucht-Fraïssé Game for Dependence Logic |
| topic | Logic Logic in Computer Science 03C80 F.4.1 |
| url | https://arxiv.org/abs/2606.00812 |