Complexity of Continuous Space Machine Operations

We investigate the computational complexity of an optical model of computation called the continuous space machine (CSM). We characterise worst case resource growth over time for each of the CSM’s ten operations with respect to seven resource measures. Many operations exhibit unreasonably large growth rates thus motivating restrictions on the CSM, in particular we give a restriction called the C2-CSM.

• Type: Conference
• Year: 2005
• Where: CIE
• Authors: Damien Woods, J. Paul Gibson
• Keywords: Case Resource Growth, CIE 2005, Continuous Space Machine, Large Growth Rates