dds/README.org

* dds: A Home-made Toolkit for Discrete Dynamical Systems in Racket
This is a toolkit for playing with various discrete dynamical systems
in [[https://racket-lang.org/][Racket]].  A discrete dynamical system is a system which evolves from
a discrete state to some other discrete states (many or one).  The
systems are discrete in the sense that we can identify successive
states with no other states in between.  Equivalently, the phase state
of the system is discrete (and is often called the state graph).
These constraints imply the possibility of associating discrete,
possibly branching timelines to any evolution of the system.

*DISCLAIMER:* I develop this toolkit as a support for my research on
discrete dynamical systems.  The primary objective for this framework
is to fit my approach to these systems.  Essentially, this framework
should fit to the "shape of my mind", which is not necessarily the
same as yours.

Currently, the toolkit includes the following files:

  - [[file:generic.rkt][generic.rkt]]: The generic interface for a discrete dynamical
    system, with functions for constructing state graphs.
  - [[file:utils.rkt][utils.rkt]]: Misc utility functions.
  - [[file:networks.rkt][networks.rkt]]: Implements network-based models, which generalise
    Boolean networks, threshold Boolean automata networks, multivalued
    networks, etc.
  - [[file:rs.rkt][rs.rkt]]: Implements reaction systems, a variant of set rewriting.

The toolkit is designed with Emacs [[https://orgmode.org/][Org-mode]] interoperability in mind.
The file [[file:example/example.org][example/example.org]] explains the features available for
interaction with Org-mode.

** Roadmap
   Here is my current roadmap for this toolkit, in order.  The first
   element is what I am currently working on.  The degree of certainty
   that I work on the subsequent items decreases with their position
   in the list.

*** TODO Review =build-interaction-graph=
    Check that the definition of this function really follows the
    definition of the interaction graph.  Pay attention to the
    existential vs. universal quantifiers.
*** TODO Write the docs properly with Scribble
    https://docs.racket-lang.org/scribble/srcdoc.html
*** TODO Submit =update-graph= to =stchang=
*** TODO Implement the BN \to RS conversion
*** TODO Implement the minimisation of TBF/SBF
*** TODO Contribute to Racket
    - Make sequence-filter allow multivalued sequences, provided the
      arity of the predicate is consistent with the arity of
      the sequence.
    - Add a sequence->hash function that accepts a multivalued
      sequence of keys and values (exactly like what in-hash produces)
      and copies them into a hash table.
*** TODO Test network inference with [[https://docs.racket-lang.org/racklog/index.html][Racklog]]