AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA INFORMATICA - Ediţia nr.2 din 1999 | |||||||
Articol: |
AN EVOLUTIONARY ALGORITHM FOR THEOREM PROVING IN PROPOSITIONAL LOGIC. Autori: D. DUMITRESCU, MIHAI OLTEAN. |
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Rezumat: Standard theorem proving algorithms normally have exponenţial complexity. This drawback could be eliminated within the Evolutionary com- putation framework. In this paper an evolutionary theorem proving method is proposed. The method is designed for propositional logic but may be ex- tended to fîrst order logic. The proposed evolutionary approach represents a new paradigm of au- tomated theorem proving. Method complexity is polynomial. Reducing time complexity with respect to non-evolutionary methods is an important feature of the proposed approach. A population of theorems is evoluated using two search operators: re- combination and mutation. Recombination operator implements Modus Po- nens inference rule. Mutation corresponds to the substitution operation. | |||||||