The indistinguishability of two pieces of data (or two lists of pieces of data) can be represented formally in terms of a relation called static equivalence. Static equivalence dep...
Most research into hypercomputation focuses only on machines able to prove stronger results the basic Turing Machine, hence the phrase hypercomputation. However, developing hyperco...
We introduce FMG (Fraenkel-Mostowski Generalised) set theory, a generalisation of FM set theory which allows binding of infinitely many names instead of just finitely many names...
This paper studies the behavior of the low-rank least mean squares (LMS) adaptive algorithm for the general case in which the input transformation may not capture the exact input s...
In this paper, we merge speech act theory, emotion theory, and logic. We propose a modal logic that integrates the concepts of belief, goal, ideal and responsibility and that allo...