Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moebius: Metaprogramming using Contextual Types -- The stage where
  System F can pattern match on itself (Long Version)   We describe the foundation of the metaprogramming language, Moebius, which
supports the generation of polymorphic code and, more importantly the analysis
of polymorphic code via pattern matching.
  Moebius has two main ingredients: 1) we exploit contextual modal types to
describe open code together with the context in which it is meaningful. In
Moebius, open code can depend on type and term variables (level 0) whose values
are supplied at a later stage, as well as code variables (level 1) that stand
for code templates supplied at a later stage. This leads to a multi-level modal
lambda-calculus that supports System-F style polymorphism and forms the basis
for polymorphic code generation. 2) we extend the multi-level modal
lambda-calculus to support pattern matching on code. As pattern matching on
polymorphic code may refine polymorphic type variables, we extend our
type-theoretic foundation to generate and track typing constraints that arise.
We also give an operational semantics and prove type preservation.
  Our multi-level modal foundation for Moebius provides the appropriate
abstractions for both generating and pattern matching on open code without
committing to a concrete representation of variable binding and contexts.
Hence, our work is a step towards building a general type-theoretic foundation
for multi-staged metaprogramming that, on the one hand, enforces strong type
guarantees and, on the other hand, makes it easy to generate and manipulate
code. This will allow us to exploit the full potential of metaprogramming
without sacrificing the reliability of and trust in the code we are producing
and running.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom