On Herbrand consistency in weak arithmetic
✍ Scribed by Zofia Adamowicz; Paweł Zbierski
- Book ID
- 105842489
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 118 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0933-5846
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study search problems and reducibilities between them with known or potential relevance to bounded arithmetic theories. Our primary objective is to understand the sets of low complexity consequences (esp. Σ b 1 or Σ b 2 ) of theories S i 2 and T i 2 for a small i, ideally in a rather strong sense
## 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