Koji Nakazawa

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Our paper [1] contains a serious error. Proposition 4.6 of [1] is actually false and hence our strong normalization proof does not work for the Curry-style λμ-calculus. However, our method still can show that (1) the correction of Proposition 5.4 of [2], and (2) the correction of the proof of strong normalization of Church-style λμ-calculus by(More)
In this paper, we propose a new proof method for strong normalization of calculi with control operators, and, by this method, we prove strong normalization of the system λμ→∧∨⊥ , which is introduced in [3] by de Groote and corresponds to the classical natural deduction with disjunctions and permutative conversions by the Curry-Howard isomorphism. For our(More)
This paper proves strong normalization of classical natural deduction with disjunction and permutative conversions, by using CPS-translation and augmentations. By them, this paper also proves strong normalization of classical natural deduction with general elimination rules for implication and conjunction, and their permutative conversions. This paper also(More)
This paper shows undecidability of type-checking and typeinference problems in domain-free typed lambda-calculi with existential types: a negation and conjunction fragment, and an implicational fragment. These are proved by reducing type-checking and type-inference problems of the domain-free polymorphic typed lambda-calculus to those of the lambda-calculi(More)
White adipose tissue is a multifunctional endocrine organ that synthesizes and secretes cytokine-like proteins termed adipokines. In the present study, the effects of cancer-derived medium on adipogenesis were examined. We prepared conditioned media from cancer cell lines, and cultured preadipocytes in the conditioned media. After 10 days of culture,(More)
We study monadic translations of the call-by-name (cbn) and the call-by-value (cbv) fragments of the classical sequent calculus λμμ̃ by Curien and Herbelin and give modular and syntactic proofs of strong normalization. The target of the translations is a new meta-language for classical logic, named monadic λμ. It is a monadic reworking of Parigot’s(More)