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Numerical methods and programming, 2003, Volume 4, Issue 3, Pages 28–33 (Mi vmp736)  
Geometric interpretation of propositional formulas

V. V. Suvorov

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (135 kB)
Abstract: We consider a method for logical analysis based on geometric interpretation of propositional formulas. A logical formula is represented as a unit hypercube in an orthogonal basis of dimension equal to the locality of the formula. It is shown that the analysis of cube intersections in accordance with simple visual criteria allows one to formulate logical axioms. The possibility to construct programming tools for estimating the truth of formulas according to visual perceptions is discussed.
Keywords: propositional formulas, geometric interpretation, logical analysis, programming tools, logical axioms.
UDC: 510.662
Language: Russian
Citation: V. V. Suvorov, “Geometric interpretation of propositional formulas”, Num. Meth. Prog., 4:3 (2003), 28–33
Citation in format AMSBIB
\Bibitem{Suv03}
\by V.~V.~Suvorov
\paper Geometric interpretation of propositional formulas
\jour Num. Meth. Prog.
\yr 2003
\vol 4
\issue 3
\pages 28--33
\mathnet{http://mi.mathnet.ru/vmp736}
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  • https://www.mathnet.ru/eng/vmp/v4/i3/p28
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