## Abstract Dualโintuitionistic logics are logics proposed by Czermak (1977), Goodman (1981) and Urbas (1996). It is shown in this paper that there is a correspondence between Goodman's dualโintuitionistic logic and Nelson's constructive logic N^โ^.
Note on Structural Logics
โ Scribed by Zbigniew Stachniak
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 228 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Grzegorczyk's modal logic (Grz) corresponds to the class of upwards wellโfounded partially ordered Kripke frames, however all known proofs of this fact utilize some form of the Axiom of Choice; G. Boolos asked in [1], whether it is provable in plain ZF. We answer his question negatively
## Abstract It is well known that MTL satisfies the finite embeddability property. Thus MTL is complete w. r. t. the class of all finite MTLโchains. In order to reach a deeper understanding of the structure of this class, we consider the extensions of MTL by adding the generalized contraction since