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Fredkin gates as a basis for comparison of different logic design solutions

Philip D. Picton

Open publisher page 4 citations

Abstract

In this paper one particular gate is proposed which has the potential to be implemented optically. It has the advantage that, if necessary, it can perform conventional Boolean logic, but it can also perform alternative logics such as conservative logic, multi-valued logic and threshold logic. Since the same gate is used regardless of the logic, it is possible to make a comparison of the various logics, so that hopefully it can be shown that for specific applications Boolean logic may not always be the best solution.< >

About this research paper

What this paper is about

In this paper one particular gate is proposed which has the potential to be implemented optically. It has the advantage that, if necessary, it can perform conventional Boolean logic, but it can also perform alternative logics such as conservative logic, multi-valued logic and threshold logic. Since the same gate is used regardless of the logic, it is possible to make a comparison of the various logics, so that hopefully it can be shown that for specific applications Boolean logic may not always be the best solution.< >

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Available abstract

In this paper one particular gate is proposed which has the potential to be implemented optically. It has the advantage that, if necessary, it can perform conventional Boolean logic, but it can also perform alternative logics such as conservative logic, multi-valued logic and threshold logic. Since the same gate is used regardless of the logic, it is possible to make a comparison of the various logics, so that hopefully it can be shown that for specific applications Boolean logic may not always be the best solution.< >

Key concepts: Logic gate, Logic optimization, Computer science, Pass transistor logic, AND-OR-Invert, Logic synthesis, Logic family, Mathematics

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