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Game Semantics for the Lambek-Calculus: Capturing Directionality and the Absence of Structural Rules
Studia Logica 90 (2):161-188 (2008)
Abstract
In this paper, we propose a game semantics for the (associative) Lambek calculus . Compared to the implicational fragment of intuitionistic propositional calculus, the semantics deals with two features of the logic: absence of structural rules, as well as directionality of implication. We investigate the impact of these variations of the logic on its game semantics.Author's Profile
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Citations of this work
Paradoxes and structural rules from a dialogical perspective.Catarina Dutilh Novaes & Rohan French - 2018 - Philosophical Issues 28 (1):129-158.
References found in this work
The Mathematics of Sentence Structure.Joachim Lambek - 1958 - Journal of Symbolic Logic 65 (3):154-170.
Categorial Type Logics.Michael Moortgat - 1997 - In J. F. A. K. Van Benthem, Johan van Benthem & Alice G. B. Ter Meulen (eds.), Handbook of Logic and Language. Elsevier.
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