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SOME FORMAL PROPERTIES OF INDIRECT SEMANTICS

The ideas of context free and logistic grammars are defined within the theory of inductive sets, and necessary and sufficient conditions are established for homomorphic translation from the first sort of structure into the second. The method is of interest because of its recent use in the indirect semantic interpretation of context free grammars by translating them into intensional logic. Examples of such interpretations found in the literature fail to meet the required conditions for successful homomorphism.