Falsity Conditions for IF-Sentences
We give a procedure to obtain falsity conditions for IF-sentences, using Skolemization. The expressive power of an IF-sentence can then be strongly captured by a pair of Σ11-sentences1. A result from [Burgess 2003] shows that, conversely, any pair of incompatible Σ11-sentences corresponds with an I...
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| Materyal Türü: | Article ou chapitre numérique |
| Dil: | Français |
| Baskı/Yayın Bilgisi: |
2005
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| Online Erişim: | Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM |
| Özet: | We give a procedure to obtain falsity conditions for IF-sentences, using Skolemization. The expressive power of an IF-sentence can then be strongly captured by a pair of Σ11-sentences1. A result from [Burgess 2003] shows that, conversely, any pair of incompatible Σ11-sentences corresponds with an IF-sentence.In the second part, we reflect on the influence of the order of the steps (inside-out versus outside-in) in the Skolemization procedures for IF-logic. We also reflect on the nature of game theoretical negation. |
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