Complexity Theory Part One It may be that since one is customarily concerned with existence, [...] finiteness, and so forth, one is not inclined to take seriously the question of the existence of a …

Given a Turing machine M, we can define the time complexity tM(x) to be the number of steps the machine runs for before halting, and we define the space complexity sM(x) to be the number …

Simply stated, complexity arises in situations where “an increasing number of independent variables begin interacting in interdependent and unpredictable ways.” Traffic, the weather, the …

It is proposed that complexity can usefully be applied only to constructions within a given language. It is argued that complexity is usefully differentiated from the concepts of size, …

It has scanned a wide range of academic literature to identify methods that researchers have used to analyse and make sense of complexity and complex systems.

In this edi-torial, we provide our view of the current state of complex systems research and explain how this new journal will fill an important niche for researchers working on these ideas.

That is, whether we choose to study complexity on Turing machines or Random Access Machines, our observations should still hold. They should also be invariant under small …