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Propositional calculus proving methods in Prolog. (English) Zbl 0792.68165

Summary: Two methods of proving the theorems of the propositional calculus are described in this paper – Wang’s algorithm and the method of analytical tables. Two programs in Prolog are quotated to Wang’s algorithm, for the method of analytical tables author’s program is presented. Efficiency of the programs is demonstrated on examples. Further, the practical and didactic value of presented methods and programs is discussed.

MSC:

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
03B35 Mechanization of proofs and logical operations
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References:

[1] Coelho H., Cotta J.C., Pereira L.M.: How to solve it with Prolog. Lisboa, LNEC 1985.
[2] Coelho H., Cotta J.C.: Prolog by example. Springer-Verlag 1988. · Zbl 0649.68004
[3] Smullyan R.M.: First order logic. Bratislava, ALFA 1979. · Zbl 0172.28901
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