Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional Programming in Pattern-Match-Oriented Programming Style   Throughout the history of functional programming, recursion has emerged as a
natural method for describing loops in programs. However, there does often
exist a substantial cognitive distance between the recursive definition and the
simplest explanation of an algorithm even for the basic list processing
functions such as map, concat, or unique; when we explain these functions, we
seldom use recursion explicitly as we do in functional programming. For
example, map is often explained as follows: the map function takes a function
and a list and returns a list of the results of applying the function to all
the elements of the list.
  This paper advocates a new programming paradigm called pattern-match-oriented
programming for filling this gap. An essential ingredient of our method is
utilizing pattern matching for non-free data types. Pattern matching for
non-free data types features non-linear pattern matching with backtracking and
extensibility of pattern-matching algorithms. Several non-standard pattern
constructs, such as not-patterns, loop patterns, and sequential patterns, are
derived from this pattern-matching facility. Based on that result, this paper
introduces many programming techniques that replace explicit recursions with an
intuitive pattern by confining recursions inside patterns. We classify these
techniques as pattern-match-oriented programming design patterns.
  These programming techniques allow us to redefine not only the most basic
functions for list processing such as map, concat, or unique more elegantly
than the traditional functional programming style, but also more practical
mathematical algorithms and software such as a SAT solver, computer algebra
system, and database query language that we had not been able to implement
concisely.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat