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  1.  68
    Consistency Proof of a Fragment of Pv with Substitution in Bounded Arithmetic.Yoriyuki Yamagata - 2018 - Journal of Symbolic Logic 83 (3):1063-1090.
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  2.  99
    Strong Normalization of a Symmetric Lambda Calculus for Second-Order Classical Logic.Yoriyuki Yamagata - 2002 - Archive for Mathematical Logic 41 (1):91-99.
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  3.  62
    On the Notion of Validity for the Bilateral Classical Logic.Ukyo Suzuki & Yoriyuki Yamagata - manuscript
    This paper considers Rumfitt’s bilateral classical logic (BCL), which is proposed to counter Dummett’s challenge to classical logic. First, agreeing with several authors, we argue that Rumfitt’s notion of harmony, used to justify logical rules by a purely proof theoretical manner, is not sufficient to justify coordination rules in BCL purely proof-theoretically. For the central part of this paper, we propose a notion of proof-theoretical validity similar to Prawitz for BCL and proves that BCL is sound and complete respect to (...)
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