Fragments of Heyting Arithmetic
β Scribed by Wolfgang Burr
- Book ID
- 115489471
- Publisher
- Association for Symbolic Logic
- Year
- 2000
- Tongue
- English
- Weight
- 356 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2586698
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A proof of the consistency of Heyting arithmetic formulated in natural deduction is given. The proof is a reduction procedure for derivations of falsity and a vector assignment, such that each reduction reduces the vector. By an interpretation of the expressions of the vectors as ordina
## Abstract Since in Heyting Arithmetic (HA) all atomic formulas are decidable, a Kripke model for HA may be regarded classically as a collection of classical structures for the language of arithmetic, partially ordered by the submodel relation. The obvious question is then: are these classical str