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. | |||||||||
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Heinrich Wansing (2002). A Rule-Extension of the Non-Associative Lambek Calculus. Studia Logica 71 (3):443-451.
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Alexej P. Pynko (2009). Distributive-Lattice Semantics of Sequent Calculi with Structural Rules. Logica Universalis 3 (1).
Wendy MacCaull & Ewa Orłlowska (2002). Correspondence Results for Relational Proof Systems with Application to the Lambek Calculus. Studia Logica 71 (3):389-414.
Andreja Prijatelj (1992). Lambek Calculus with Restricted Contraction and Expansion. Studia Logica 51 (1):125 - 143.
Hajnal Andréka & Szabolcs Mikulás (1994). Lambek Calculus and its Relational Semantics: Completeness and Incompleteness. Journal of Logic, Language and Information 3 (1):1-37.
E. -W. Stachow (1976). Completeness of Quantum Logic. Journal of Philosophical Logic 5 (2):237 - 280.
Kosta Došen (1992). Modal Logic as Metalogic. Journal of Logic, Language and Information 1 (3):173-201.
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