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EnglishIn Zwicker (1987) the hypergame paradox is introduced and studied. In this paper we continue this investigation, comparing the hypergame argument with the diagonal one, in order to find a proof schema. In particular, in Theorems 9 and 10 we discuss the complexity of the set of founded elements in a recursively enumerable relation on the set N of natural numbers, in the framework of reduction between relations. We also find an application in the theory of diagonalizable algebras and construct an undecidable formula.
| Titolo: | Translating the hypergame Paradox; remarks on the set of founded elements of a relation | |
| Autori: | ||
| Data di pubblicazione: | 1996 | |
| Rivista: | ||
| Abstract: | In Zwicker (1987) the hypergame paradox is introduced and studied. In this paper we continue this investigation, comparing the hypergame argument with the diagonal one, in order to find a proof schema. In particular, in Theorems 9 and 10 we discuss the complexity of the set of founded elements in a recursively enumerable relation on the set N of natural numbers, in the framework of reduction between relations. We also find an application in the theory of diagonalizable algebras and construct an undecidable formula. | |
| Handle: | http://hdl.handle.net/11390/676498 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| art%3A10.1007%2FBF00257385.pdf | Documento in Post-print | Non pubblico | Accesso ristretto Richiedi una copia |
http://hdl.handle.net/11390/676498
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