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#author("2017-03-17T11:56:43+09:00","default:Uedalab","Uedalab")
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''HydLa'' is a constraint-based [[hybrid system>http://en.wikipedia.org/wiki/Hybrid_system]] modeling language.

''HydLa'' is a modeling language for '''[[hybrid systems>http://en.wikipedia.org/wiki/Hybrid_system]]''', that is, dynamical systems involving both continuous and discrete changes.

The key features of HydLa are:
- declarative (cf. procedural) modeling of systems as constraints over real-valued functions,
- description of models using familiar mathematical and temporal logic notations, and
- constraint hierarchies that enable concise modeling of default and exceptional behaviors.
- '''declarative''' modeling of systems as constraints over real-valued functions and
// - model description using mathematical and logical notations, and
- '''constraint hierarchies''' that enable concise modeling of default and exceptional behaviors.

''HyLaGI'', an implementation of HydLa, has been developed using C++ and
uses Mathematica and REDUCE as an external constraint solver.  The features of
HyLaGI are:
- error-free simulatation using symbolic computation,
- simulation of system with symbolic parameters and uncertainties, and
- search for all solution trajectories using non-deterministic execution.
To get started with HydLa, visit ''[[webHydLa>http://webhydla.ueda.info.waseda.ac.jp]]'', an online IDE of HydLa with a visualizer, and run example programs.

To run HydLa programs on your computer, a simulation engine of HydLa, named ''[[HyLaGI]]'', can be downloaded.  Unlike many other simulation engines, HyLaGI provides the following key features:
- '''error-free simulation''' using symbolic computation,
- simulation of systems with symbolic parameters that allow us to represent uncertainties (such as 0.9 < p < 1.1), and
- search for all solution trajectories using nondeterministic execution,

#br
For example, the following trajectories were computed from a bouncing ball model whose initial height is given as a symbolic parameter ranging between 0 and 10.
// #ref(../roof_bouncing.png)
#ref(../bouncing_ball_webHydLa.png,75%)

We are also developing ''HIDE'', an integrated development environment for HydLa.
HIDE allows us to model, simulate and visualize models within a unified environment.

Our new web interface of HydLa, called ''[[webHydLa]]'', provides the same features as HIDE.