Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetical proofs of strong normalization results for the symmetric
  $\lambda \mu$-calculus   The symmetric $\lambda \mu$-calculus is the $\lambda \mu$-calculus introduced
by Parigot in which the reduction rule $\m'$, which is the symmetric of $\mu$,
is added. We give arithmetical proofs of some strong normalization results for
this calculus. We show (this is a new result) that the $\mu\mu'$-reduction is
strongly normalizing for the un-typed calculus. We also show the strong
normalization of the $\beta\mu\mu'$-reduction for the typed calculus: this was
already known but the previous proofs use candidates of reducibility where the
interpretation of a type was defined as the fix point of some increasing
operator and thus, were highly non arithmetical.

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The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn