Cut-Elimination and Quantification in Canonical Systems
β Scribed by Anna Zamansky; Arnon Avron
- Book ID
- 106538882
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 310 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0039-3215
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
WESSELS considered in [8] cut elimination in a Gentzen-style &-calculus without equality. But MINC pointed out in [6] that the proof in [8] is defective and mentions that the cut elimination theorem in a modified system can be proved model-theoretically. The work in 3 1, perhaps, carries out exactly
A(s) -+ A(&zA(z)), ## HE^) Vz(A(z) ++ B ( z ) ) 4 KIA(%) = ~y B ( y ) . It was pointed out in [3] that HE^) makes this calculus non-conservative over the equality-free part. Namely, some formulas that do not contain equality can be proved only with the help of ( H e 2 ) (cf. also [Z], pp. 83, 84.