Monadic dynamic algebras
نویسندگان
چکیده
The main purpose of this work is to introduce the class of the monadic dynamic algebras (dynamic algebras with one quantifier). Similarly to a theorem of Kozen we establish that every separable monadic dynamic algebra is isomorphic to a monadic (possibly non-standard) Kripke structure. We also classify the simple (monadic) dynamic algebras. Moreover, in the dynamic duality theory, we analyze the conditions under which a hemimorphism of a dynamic algebra into itself defines a quantifier.
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ورودعنوان ژورنال:
- Math. Log. Q.
دوره 52 شماره
صفحات -
تاریخ انتشار 2006