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Cut-Elimination and Quantification in Canonical Systems

✍ 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

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πŸ“œ SIMILAR VOLUMES


Cut Elimination in Ξ΅-Calculi
✍ Mitsuru Yasuhara πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 410 KB

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

An Addition to β€œCut Elimination in Ο΅-Cal
✍ Mitsuru Yasuhara πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 88 KB

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.