In this paper a method for the replacement, in formulas, of strong quantifiers\ud by functions is introduced that can be considered as an alternative\ud to Skolemization in the setting of constructive theories. A constructive\ud extension of intuitionistic predicate logic that captures the notions of preorder\ud and existence is introduced and the method, orderization, is shown\ud to be sound and complete with respect to this logic. This implies an\ud analogue of Herbrand’s theorem for intuitionistic logic. The orderization\ud method is applied to the constructive theories of equality and groups
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