𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Translation and deductive incompleteness

✍ Scribed by A. I. Provotar

Publisher
Springer US
Year
1990
Tongue
English
Weight
387 KB
Volume
26
Category
Article
ISSN
1573-8337

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Translations from natural deduction to s
Translations from natural deduction to sequent calculus
✍ Jan von Plato πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 96 KB

## Abstract Gentzen's β€œUntersuchungen” [1] gave a translation from natural deduction to sequent calculus with the property that normal derivations may translate into derivations with cuts. Prawitz in [8] gave a translation that instead produced cut‐free derivations. It is shown that by writing all

Heterologicality and Incompleteness
Heterologicality and Incompleteness
✍ Cezary CieΕ›liΕ„ski πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 128 KB

We present a semantic proof of GΓΆdel's second incompleteness theorem, employing Grelling's antinomy of heterological expressions. For a theory T containing ZF, we define the sentence HETT which says intuitively that the predicate "heterological" is itself heterological. We show that this sentence do

Incompleteness and Fixed Points
Incompleteness and Fixed Points
✍ Lorenzo Sacchetti πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 206 KB

Our purpose is to present some connections between modal incompleteness and modal logics related to the GΓΆdel-LΓΆb logic GL. One of our goals is to prove that for all is incomplete and does not have the fixed point property. As a consequence we shall obtain that the Boolos logic KH does not have the