Sensing as a Complexity Measure

Sensing as a Complexity Measure

Wire length as a circuit complexity measure

We introduce wire length as a salient complexity measure for analyzing the circuit complexity of sensory processing in biological neural systems. This new complexity measure is applied in this paper to two basic computational problems that arise in translationand scale-invariant pattern recognition, and hence appear to be useful as benchmark problems for sensory processing. We present new circu...

Information Measure as Time Complexity

The concept of Shannon entropy of random variables was generalized to measurable functions in general, and to simple functions with finite values in particular. It is shown that the information measure of a function is related to the time complexity of search problems concerning the function in question. Formally, given a Turing reduction from a search problem y x f  ) ( to another search prob...

The Size of a Formula as a Measure of Complexity

We propose a refinement of the usual Ehrenfeucht-Fräıssé game. The new game will help us make finer distinctions than the traditional one. In particular, it can be used to measure not only quantifier rank but also lengths of conjunctions and disjunctions needed for expressing a given property. Our game is similar to the game in [1] and in [5]. The most common measure of complexity of a first or...

Unification as a Complexity Measure for Logic Programming