To provide a learning tool for exploring fundamentals of programming

`Programmierung pur' includes above that a tool providing the possibility to get hands-on experience in the process of learning and exploring the fundamentals of programming.

This tool is the programming language ``A++'', introduced in `Programmierung pur', a language that owes it's existence to a generalization of the base operations of the Lambda Calculus and may very well be called the smallest language of the world. A++ consists of only three operations but is nevertheless powerful enough to serve as a language, in which everything essential in programming can be expressed.

Summary of A++ features:

• constitutive principles of A++:
  • ARS (basic operations):
    • abstraction
    • reference
    • synthesis
  • lexical scope
  • closure
• programming paradigms supported:
  • functional programming,
    (writing expressions to be evaluated),
  • object oriented programming
    (sending messages to objects),
  • imperative programming
    (writing statements to be executed), including structured programming.
  • logic programming
    (rule based programming) (ARS++ recommended!)
• features directly derived from ARS:
  • logical abstractions
    (true, false, if, not, and, or),
  • numerical abstractions
    (natural numbers, zerop, succ, pred, add, sub, mult),
  • relational abstractions,
    (equalp, gtp, ltp, gep)
  • recursion,
  • creation and processing of lists
    (cons, car, cdr, nil, nullp, llength, remove, nth, assoc),
  • higher order functions
    (compose, curry, map, mapc, map2, filter, locate, for-each) ,
  • set operations
    (memberp, union, addelt),
  • iterative control structure ('while'),
• development of applications like `simple account handling' and `library management'.

Speed and impact of learning

All this can be learned in a relatively short time, because it is not necessary to spend a lot of effort on the syntax of a programming language, which might not be the language of choice later anyway. On the contrary, everything learned in A++ can be applied in almost any programming language.

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