Abstract
Finding and exploiting symmetric patterns is of fundamental importance to problem solving systems in artificial intelligence and robotics. Symmetries of action can be used to construct efficient serial algorithms, and the associated symmetries in the environment are the patterns that the system must detect to decide upon the course of action. Symmetries can be formulated by transforming a semigroup representing a task to a group. This paper constructs a functor from the category of semigroups to the category of groups, which classifies tasks according to their symmetries. Furthermore, this paper shows how to exploit these symmetries to construct algorithms and their associated sensory patterns.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
