Bulletin of the Section of Logic 48/2 (2019)

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  • Full Cut Elimination and Interpolation for Intuitionistic Logic with Existence Predicate 

    Maffezioli, Paolo; Orlandelli, Eugenio (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence predicate is presented that satisfies partial cut elimination and Craig's interpolation property; it is also conjectured that ...

  • Semi-Heyting Algebras and Identities of Associative Type 

    Cornejo, Juan M.; Sankappanavar, Hanamantagouda P. (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    An algebra A = ⟨A, ∨, ∧, →, 0, 1⟩ is a semi-Heyting algebra if ⟨A, ∨, ∧, 0, 1⟩ is a bounded lattice, and it satisfies the identities: x ∧ (x → y) ≈ x ∧ y, x ∧ (y → z) ≈ x ∧ [(x ∧ y) → (x ∧ z)], and x → x ≈ 1. SH denotes ...

  • The Method of Socratic Proofs Meets Correspondence Analysis 

    Leszczyńska-Jasion, Dorota; Petrukhin, Yaroslav; Shangin, Vasilyi (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    The goal of this paper is to propose correspondence analysis as a technique for generating the so-called erotetic (i.e. pertaining to the logic of questions) calculi which constitute the method of Socratic proofs by Andrzej ...

  • A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation 

    Kurbis, Nils (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    This paper presents a way of formalising definite descriptions with a binary quantifier ℩, where ℩x[F, G] is read as `The F is G'. Introduction and elimination rules for ℩ in a system of intuitionist negative free logic ...