This paper promotes an AI-VCR technology of searching without information. VCR is an extension of FCR(Fixed Carrying Rules) which is also computation rules of FCN(Fixed Carrying Numbers). The FCN are some special examples of VCN(Variable Carrying Numbers). DFS(Depthfirst Search) is a blind searching without information. In AI-VCR technology, AI(Artificial Intelligence) is used in dynamic designing computation rules of VCN. Both FCR and VCR in searching without information are variables of nodes’ depth function. Finally, it gives out some examples of problem-solving method, namely problem-solving such as catching fish with casting a net or herdsman picks peaches with his fierce-looking before climbing up a tree.

An optional spatial 3D material solid reality picture may be showed on a 2D showing plane, its surface is commonly consisted of too many sub-surfaces of the 3D solid reality picture in both dispersal and continuation. It was a difficult problem to express all exact visibilities of solids sub-surfaces; because of some numerals computational error properties of visibilities are always unknown. So far, we cannot choose but select a proper dispersal degree of materials sub-surfaces, an approaching function of an optional material sub-surfaces B-Rep (Bound Representation), and numerals computation without any perturbation motion, etc. A novel numeral computational method of expressing exact visibilities of 3D spatial materials solids reality pictures with intelligent properties of VCR is given in this paper.

In mathematics science, subtraction is rather simple computation of arithmetic. However, no matter what advanced computer in the world, and no matter what backward calculator (such as abacus in China etc.) in people’s hand, to get difference of subtraction is always a NP problem in all the time. Such as capacities of numbers Minuend and Subtrahend, symbols (±) of number value (positive number or negative number), precise computing (PC), computing precision (CP), perturbation motion (PM) in computing of numbers, etc. This paper makes an algorithm of novel subtraction with AI-VCR computation in computer, and gives solutions of avoiding the difference’s overflowing, insufficient valid figures, etc.