Now showing items 1-4 of 4

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

      Kürbis, 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 ...
    • 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 ...
    • 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 ...