David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Studia Logica 63 (2):223-243 (1999)
Given a structure for a first-order language L, two objects of its domain can be indiscernible relative to the properties expressible in L, without using the equality symbol, and without actually being the same. It is this relation that interests us in this paper. It is called Leibniz equality. In the paper we study systematically the problem of its definibility mainly for classes of structures that are the models of some equality-free universal Horn class in an infinitary language Lκκ, where κ is an infinite regular cardinal.
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Anvar M. Nurakunov & Michał M. Stronkowski (2013). Relation Formulas for Protoalgebraic Equality Free Quasivarieties; Pałasińska's Theorem Revisited. Studia Logica 101 (4):827-847.
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