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      Automated Deduction—CADE-18 

      Proof Development with Ωmega

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          A formulation of the simple theory of types

          The purpose of the present paper is to give a formulation of the simple theory of types which incorporates certain features of the calculus of λ-conversion. A complete incorporation of the calculus of λ-conversion into the theory of types is impossible if we require that λx and juxtaposition shall retain their respective meanings as an abstraction operator and as denoting the application of function to argument. But the present partial incorporation has certain advantages from the point of view of type theory and is offered as being of interest on this basis (whatever may be thought of the finally satisfactory character of the theory of types as a foundation for logic and mathematics).
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            Ωmega: Towards a mathematical assistant

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              System Description: Tramp: Transformation of Machine-Found Proofs into Natural Deduction Proofs at the Assertion Level

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                Author and book information

                Book Chapter
                2002
                July 4 2002
                : 144-149
                10.1007/3-540-45620-1_12
                33899278-57e4-458e-ba00-41859624dec3
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