On induction-free provability
✍ Scribed by Jan Krajíček; Gaisi Takeuti
- Book ID
- 105230370
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Weight
- 797 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1012-2443
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📜 SIMILAR VOLUMES
In their paper [4] GUASPARI and SOLOVAY investigate the system R of modal provability logic extended with witness comparison operators o A < B and D A I o B (see also SMO-RYI~SKI (91 and DE JONGH 151). These are intended to express that there is a proof of A whose Godel-number is smaller than resp.
We study here extensions of the Artemov's logic of proofs in the language with quantiÿers on proof variables. Since the provability operator A could be expressed in this language by the formula ∃u[u]A, the corresponding logic naturally extends the well-known modal provability logic GL. Besides, the