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  1.  36
    On Some Semi-Intuitionistic Logics.Juan M. Cornejo & Ignacio D. Viglizzo - 2015 - Studia Logica 103 (2):303-344.
    Semi-intuitionistic logic is the logic counterpart to semi-Heyting algebras, which were defined by H. P. Sankappanavar as a generalization of Heyting algebras. We present a new, more streamlined set of axioms for semi-intuitionistic logic, which we prove translationally equivalent to the original one. We then study some formulas that define a semi-Heyting implication, and specialize this study to the case in which the formulas use only the lattice operators and the intuitionistic implication. We prove then that all the logics thus (...)
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  2.  20
    A note on chain‐based semi‐Heyting algebras.Juan Manuel Cornejo, Luiz F. Monteiro, Hanamantagouda P. Sankappanavar & Ignacio D. Viglizzo - 2020 - Mathematical Logic Quarterly 66 (4):409-417.
    We determine the number of non‐isomorphic semi‐Heyting algebras on an n‐element chain, where n is a positive integer, using a recursive method. We then prove that the numbers obtained agree with those determined in [1]. We apply the formula to calculate the number of non‐isomorphic semi‐Heyting chains of a given size in some important subvarieties of the variety of semi‐Heyting algebras that were introduced in [5]. We further exploit this recursive method to calculate the numbers of non‐isomorphic semi‐Heyting chains with (...)
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    Superrational types.Fernando A. Tohmé & Ignacio D. Viglizzo - 2019 - Logic Journal of the IGPL 27 (6):847-864.
    We present a formal analysis of Douglas Hofstadter’s concept of superrationality. We start by defining superrationally justifiable actions, and study them in symmetric games. We then model the beliefs of the players, in a way that leads them to different choices than the usual assumption of rationality by restricting the range of conceivable choices. These beliefs are captured in the formal notion of type drawn from epistemic game theory. The theory of coalgebras is used to frame type spaces and to (...)
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