Abstract. For two fragments LP and LF of monadic first-order logic with bounded quantifiers, the corresponding versions of specification theorem are formulated and proved, which enables the ∑-automata synthesis procedure to be reduced to the equivalent transformation of formulas.
Keywords: first order logics, specification, ∑-automaton, LP-formula, LF-formula, automatic semantics, specification theorem .
V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: ancheb@gmail.com.