A three-restricted normal form theorem for ETOL languages
✍ Scribed by Takashi Yokomori; Derick Wood; Klaus-Jörn Lange
- Book ID
- 113162436
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 488 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We prove a local normal form theorem of the Gaifman type for the infinitary logic L∞ω(Q u ) ω whose formulas involve arbitrary unary quantifiers but finite quantifier rank. We use a local Ehrenfeucht-Fraïssé type game similar to the one in [9]. A consequence is that every sentence of L∞ω(Q u ) ω of
A XORMAL FORM THEOREM FOR RECURSIVE OPERATORS Lemma 2. All elements of 9 ? and the element I are perfect. If E and rj are perfect elements of 9, then (t, q ) is also perfect. Proof. Obvious from the definition. L e m m a 3. Let [ be a perfect element of 9. Then Vp(L(p7, [) = 9 & R ( [ . y ) = 9).