The form of the knowledge and its continuous transformations will be ruled by parameters. Those parameters are related to the way the knowledge is structured (by successive conditions), to the way it is constructed (by the expert during the session) and to the nature of the knowledge itself (this nature has nothing to do with any idea of ‘truth’, it’s linked to the history of the knowledge and the corpus of problematics that it deals with).
We actually distributed those parameters in three big families (We are currently working on this classification, some boundaries remaining quite porous and not well defined, no word seems actually enough accurate to define completely the field of knowledge that it’s supposed to cover). The first one are parameters related to conditions, i.e: find the tool, open the valve; the second one contains parameters related to deformation, i.e: use the tool to cut the wire, let the air get out of the valve; the last family will be the ones of parameters of translations, i.e, the wire is cut correctly, the air completely filled the room.
Each form could be shaped by several parameters of different types. The interference between some of those parameters will lead in some case to contradictory transformations, unexpected deformations and emergences.
What we tried to do with this first grammar what to define series of (simple) deformations applied to a circle, make a first classification of the shapes produced by families of distortion and then link them to parameters.
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