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Titlebook: Mathematical Logic and Its Applications; Dimiter G. Skordev Book 1987 Plenum Press, New York 1987 Cut-elimination theorem.algorithms.logic

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On ‘Logical Relations’ in Program Semanticsed to a permutation m. on functionals F from D into D by.and this process can be performed for all higher types as well. Then a functional G (of some type) is invariant with respect to a class M of permutations iff mG = G for all m in M.
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Categorial Grammar and Lambda Calculuslogies between categorial grammars, Gentzen calculi for implication and fragments of typed lambda-languages. In this paper, we shall survey this development, adding various new results on definability and preservation.
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