1994 | ReviewPaper | Buchkapitel
Theory interpretation in simple type theory
verfasst von : William M. Farmer
Erschienen in: Higher-Order Algebra, Logic, and Term Rewriting
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Theory interpretation is a logical technique for relating one axiomatic theory to another with important applications in mathematics and computer science as well as in logic itself. This paper presents a method for theory interpretation in a version of simple type theory, called lutins, which admits partial functions and subtypes. The method is patterned on the standard approach to theory interpretation in first-order logic. Although the method is based on a nonclassical version of simple type theory, it is intended as a guide for theory interpretation in classical simple type theories as well as in predicate logics with partial functions.