A formulation of the simple theory of types (for Isabelle):

Abstract: "Simple theory is formulated for use with the generic theorem prover Isabelle. This requires explicit type inference rules. There are function, product, and subset types, which may be empty. Descriptions (the n-operator) introduce the Axiom of Choice. Higher-order logic is obtained th...

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Bibliographic Details
Main Author: Paulson, Lawrence C. (Author)
Format: Book
Language:English
Published: Cambridge 1989
Series:Computer Laboratory <Cambridge>: Technical report 175
Subjects:
Summary:Abstract: "Simple theory is formulated for use with the generic theorem prover Isabelle. This requires explicit type inference rules. There are function, product, and subset types, which may be empty. Descriptions (the n-operator) introduce the Axiom of Choice. Higher-order logic is obtained through reflection between formulae and terms of type bool. Recursive types and functions can be formally constructed. Isabelle proof procedures are described. The logic appears suitable for general mathematics as well as computational problems."
Physical Description:32 S.

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