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Informationally independent connectives. (English) Zbl 1038.03032

Mints, Grigori (ed.) et al., Games, logic, and constructive sets. Stanford, CA: CSLI Publications (ISBN 1-57586-449-5/hbk; 1-57586-450-9/pbk). CSLI Lect. Notes 161, 23-41 (2003).
Summary: We consider some conceptual problems raised by W. Hodges [Log. J. IGPL 5, 539–563 (1997; Zbl 0945.03034)] in connection with independence-friendly languages, that is, languages in which sentences receive a semantic interpretation in terms of games of imperfect information. Hodges pointed out that there are certain anomalies which arise when sentential connectives are interpreted as informationally independent. We investigate the nature of this phenomenon in a more general setting, by looking more closely at the relation between semantical games of imperfect information and games in classical game theory (von Neumann and Morgenstern).
For the entire collection see [Zbl 1026.00013].

MSC:

03B60 Other nonclassical logic
91A80 Applications of game theory

Citations:

Zbl 0945.03034
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