Abstract. We describe here a simple method in order to obtain programs from proofs in second-order classical logic. Then we extend to classical logic the ...
[PDF] Classical logic, storage operators and second-order lambda-calculus
core.ac.uk › download › pdf
The main result of the present paper is Theorem 4.4, which tells essentially that storage operators behave with “classical integers” in exactly the same way as ...
In this paper, we develop a system of typed lambda-calculus for the Zermelo-Frænkel set theory, in the framework of classical logic. The first, and the ...
Krivine. Classical logic, storage operators and 2nd order lambda-calculus. Annals of Pure and. Applied Logic, 68:53–78, 1994.
[Parigot 1992] introduced the λ μ \lambda\mu λμ-calculus as a system for classical logic. In terms of programming, the λ μ \lambda\mu λ ...
Abstract. The notion of storage operator introduced in [5, 6] appears to be an important tool in the study of data types in second order λ-calculus.
Classical logic, storage operators and second order λ-calculus. Ann. of Pure and Appl. Log. 68, p. 53-78 (1994). [10] J.L. Krivine. A general storage ...
Dec 8, 2023 · Lambda calculus deals with function application while typed version of it deals with admissible types of applied values.
Missing: Second- | Show results with:Second-
May 7, 2009 · Classical logic, storage operators and 2nd order lambda-calculus. Annals of Pure and Applied Logic 68, 53-78. [11] Krivine, J.L. (1996) A ...
Mar 3, 2020 · We investigate (co-) induction in classical logic under the propositions-as-types paradigm, considering propositional, second-order and (co-) inductive types.