FUNCTORIAL DYNAMICS AND INTERACTION: A COMPUTATIONAL DESIGN ENVIRONMENT
Abstract
We propose a new, synthetic theory of context-dependent interaction that is fully computational and compositional. The interacting systems include traditional dynamical systems, aswell as computer programs, resources or agencies in a society, robots, AIs, etc. These systems interact within a given arena by observing each other’s behavior and reacting to it, where the reaction from a given system depends on its current reactive state. In special cases, the interaction is determined by a fixed signal-passing formula: system A consistently receives information x from system B. Our theory is broader, allowing for context-dependent interaction: the interaction pattern itself can change based on the reactive states of all the systems involved. One can imagine chemical bonds forming or breaking, companies changing suppliers, a robot opening its eyes, a GPS going offline, a memory being activated, etc. In each case, the state of the systems in the arena determine not just the content but also the sort of information that flows between them.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Aug 12, 2021
- Source ID
- FA95502010348
Entities
People
- David Spivak
Organizations
- Air Force Office of Scientific Research
- United States Air Force