Metadata-Version: 1.1
Name: calchylus
Version: 0.1.6
Summary: Calchylus - Lambda Calculus with Hy
Home-page: https://github.com/markomanninen/calchylus
Author: Marko Manninen
Author-email: elonmedia@gmail.com
License: UNKNOWN
Download-URL: https://github.com/markomanninen/calchylus/archive/v0.1.6.tar.gz
Description: 
        Calchylus - Lambda calculus with Hy
        ===================================
        
        ``calchylus`` is a `Hy <http://docs.hylang.org>`__ module that is used to
        evaluate, and furthermore through this documentation, shine light to the basics
        of Lambda calculus (also written as λ-calculus).
        
        	`Lambda calculus <https://en.wikipedia.org/wiki/Lambda_calculus>`__ is a
        	formal system in mathematical logic for expressing computation that is
        	based on function abstraction and application using variable binding and
        	substitution.
        
        The target audience is those who:
        
        a) are interested in the theory and the history of the programming languages
        b) may have some experience in Python and/or Lisp
        c) who wants to narrow the gap between mathematical notation and
           programming languages, especially by means of logic
        
        `Andrew Bayer <http://math.andrej.com/2016/08/30/formal-proofs-are-not-just-deduction-steps/>`__
        writes in his blog post about formal proofs and deduction:
        
        	*Traditional logic, and to some extent also type theory, hides computation
        	behind equality.*
        
        Lambda calculus, on the other hand, reveals how the computation in logic is
        made by manipulation of the Lambda terms. Manipulation rules are simple and
        were originally done with a paper and a pen, but now we rather use computers for
        the task. Lambda calculus also addresses the problem, what can be proved and
        solved and what cannot be computed in a finite time.
        
        Beside evaluating LAmbdaa expressions, ``calchylus`` module can serve as a
        starting point for a mini programming language. Via custom macros representing
        well known Lambda forms, ``calchylus`` provides all necessary elements for
        boolean, positive integer, and list data types as well as conditionals, loops,
        variable setters, imperative do structure, logical connectives, arithmetic
        operators, and exemplary functions calculating summation, factorial, and
        nth fibonacci number. You can build upon that, for example
        `real numbers <https://cs.stackexchange.com/questions/2272/representing-negative-and-complex-numbers-using-lambda-calculus?noredirect=1&lq=1>`__,
        even negative complex numbers if that makes any sense. Your imagination is
        really the only limit.
        
        Finally, when investigating the open source ``calchylus`` implementation that is
        hosted on `GitHub <https://github.com/markomanninen/calchylus>`__, one can
        expect to get a good understanding of the combinatory logic, not the least of
        the fixed point combinator or shortly, ϒ combinator.
        
        
        Quick start
        -----------
        
        **Install**
        
        .. code-block:: bash
        
        	$ pip install hy calchylus
        	$ hy
        
        **Run**
        
        .. code-block:: hylang
        
        	(require [calchylus.lambdas [*]])
        	(with-alpha-conversion-and-macros L ,)
        
        .. code-block:: hylang
        
        	(L x y , (x (x (x (x (x y))))) a b) ; output: (a (a (a (a (a b)))))
        
        .. code-block:: hylang
        
        	(FIBONACCI SEVEN) ; output: (x (x (x (x (x (x (x (x (x (x (x (x (x y)))))))))))))
        
Keywords: hylang,python,lisp,macros,dsl,lambda calculus,functional language
Platform: any
Classifier: Development Status :: 3 - Alpha
Classifier: Intended Audience :: Developers
Classifier: License :: OSI Approved :: MIT License
Classifier: Operating System :: OS Independent
Classifier: Programming Language :: Lisp
Classifier: Topic :: Software Development :: Libraries
