The present paper introduces and studies the variety WH of weakly Heyting algebras. It corresponds to the strict implication fragment of the normal modal logic K which is also known as the subintuitionistic local consequence of the class of all Kripke models. The tools developed in the paper can be
Weak Logics with Strict Implication
β Scribed by Giovanna Corsi
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 838 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Ax. 4. ( a AB) -+/I, Ax. 5. (a 3 @) A (a 3 y ) -+ (a 3 /? A y ) ~ Ax. 6. a -+ (a vp), AX. 7.
-+ (a vB), AX. 8. A x . 9 . a ~( b V y ) -+ ( a ~# ? ) V ( a ~y ) , Ax. 10. I -+ a, Ax.D. i i , AX. R.
π SIMILAR VOLUMES
The standard deduction theorem or introduction rule for implication, for classical logic is also valid/or intuitiouistic logic, but just as with predicate logic, other rules of inference have to be restricted if the theorem is ~o ho14 for weaker impli. cational logics. In this paper we look in 4eta
## Abstract In general, there is only one fuzzy logic in which the standard interpretation of the strong conjunction is a strict triangular norm, namely, the product logic. We study several equations which are satisfied by some strict tβnorms and their dual tβconorms. Adding an involutive negation,