An algebraic theory of normal forms (Q1346245)

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scientific article; zbMATH DE number 736432
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An algebraic theory of normal forms
scientific article; zbMATH DE number 736432

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    An algebraic theory of normal forms (English)
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    22 March 1995
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    Based on \textit{E. J. Dubuc's} [J. Algebra 29, 208-228 (1974; Zbl 0291.18010)] free monoid construction, the author gives a general theory of normal forms, which is then applied to propositional modal logics. The author's conception of normal forms as labelled trees and forests was already implicit in \textit{K. Fine's} paper [Notre Dame J. Formal Logic 16, 229-237 (1975; Zbl 0298.02015)]. The prerequisites are minimal; the reader is only required to be familiar with the standard techniques of algebraic logic and the basic facts about adjoint functors.
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    normal forms
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    propositional modal logics
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    labelled trees and forests
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    adjoint functors
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