Two Non-standard Paradigms
نویسنده
چکیده
Serious roadblocks have been encountered in several areas of computer application, for example in the solution of intractable (NP-complete) combinatorial problems, or in the simulation of fluid flow. In this talk we will explore two alternatives to the usual kinds of computers, and ask if they provide some hope of ultimately by-passing what appear to be essential difficulties. Analog computation, the first alternative to standard digital computation was all but abandoned in the early 1960's, but has a long and rich history. (See the textbooks [16,171, for example.) We will use a very general notion of what analog computation means we will not restrict ourselves to the kind of analog computer that uses operational amplifiers, diodes, and so on. Rather, we will consider any physical system at all as a potentially useful computer, provided only that we can communicate with it. We will then attempt to formulate precisely the following question: Can analog computers solve problems using reasonable (non-exponential) resources that digital computers cannot~
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