Abstract: "The program Topsy is a radically new way to do AI: by representing knowledge as synchronization patterns, we achieve a fully distributed, self-organizing system. Topsy is the first exemplar of a new paradigm, called the Phase Web paradigm. This paper explains, by example, how Topsy works. The example is a simple vision problem: fixating, and then tracking, a single pixel in a 2-D simulated 'retina'."

Abstract: "This paper describes in detail how (discrete) quaternions -- ie. the abstract structure of 3-D space -- emerge from, first, the Void, and thence from primitive combinatorial structures, using only the exclusion and co-occurrence of otherwise unspecified events. We show how this computational view supplements, and provides an interpretation for, the mathematical structures. The build-up is emergently hierarchical, compatible with both quantum mechanics and relativity, and can be extended upwards to the macroscopic. The mathematics is that of Clifford algebras emplaced in the homology-cohomology structure pioneered by Kron. Interestingly, the ideas presented here were originally developed by the author to resolve fundamental limitations of existing artificial intelligence paradigms."

Abstract: "This paper is concerned with the -- in contemporary computer science -- radical notion of applying the concepts and methods of vector algebra to the problem of describing the semantics of concurrent computation. Its focus is to display how to capture in vector algebraic terms the act of observation and the inference of causal connections in a concurrent computational context. The central analogy is that of an observer equipped with nothing but binary sensors, a single causality inference rule called the co-exclusion principle, and a memory in which to accumulate its inferences. Our fundamental epistomological position is that an 'object' is something displaying invariance in the time domain, which leads to the ontological position that everything is made out of time. This work should be viewed as well in the larger context of elucidating a mechanics of information, what we call the neo-mechanistic position. It is therefore particularly interesting that both the (computational) mechanism and the interpretation this induces on the vector algebra cast new and profound light on such fundamental physical matters as non-determinism, non-locality, the nature of light, the concept of half- integral spin, and the incremental appearance of spatial structure; there are also novel quaternion-like group structures at the elementary level. The structures exhibiting these interpretations exist (in the observer's memory, at least) as a self-similar hierarchy whose sensory boundary with the external world can be drawn arbitrarily, rather in the manner of Huygen's principle. The cardinal numbers of this hierarchy are essentially the same as those of the combinatorial hierarchy."