Abstract
In this chapter, the syntax of formulae in the Logic of Partial Terms (LPT) is extended to include the atomic formula x = α and the second-order universal quantifier ∀2, interpreted as a combination of ∀’ and ∀. Axioms and rules for these new constructs are added to LPT, giving Second-Order Logic of Partial Terms (2LPT). In this chapter I shall extend the interpretation of LPT in CPF given in Chapter 29 to an interpretation of 2LPT in 2CPF.
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© 1998 Springer Science+Business Media Dordrecht
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Fletcher, P. (1998). From Second-Order Calculus of Proof Functions to Second-Order Logic of Partial Terms. In: Truth, Proof and Infinity. Synthese Library, vol 276. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3616-9_43
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DOI: https://doi.org/10.1007/978-94-017-3616-9_43
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5105-9
Online ISBN: 978-94-017-3616-9
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