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Game Semantics





INTUITIONISTIC LOGIC, DENOTATIONAL SEMANTICS, LINEAR LOGIC


The primary motivation for Lorenzen and Kuno Lorenz was to find a game-theoretic (their term was "dialogical" ''Dialogische Logik'') semantics for . This line was further developed by Samson Abramsky , Radhakrishnan Jagadeesan , Pasquale Malacaria and independently Martin Hyland and Luke Ong , who placed special emphasis on compositionality, i.e. the definition of strategies inductively on the syntax. Using game semantics, the authors mentioned above have solved the long-standing problem of defining a Fully Abstract model for the programming language PCF . Consequently, game semantics has led to fully abstract semantic models for a variety of programming languages and, to new semantic-directed methods of software verification by software Model Checking .


QUANTIFIERS


Foundational considerations of game semantics have been more emphasised by .


SEE ALSO



ARTICLES

  • Krabbe, E. C. W., 2001. "Dialogue Foundations: Dialogue Logic Revisited," ''Supplement to the Proceedings of The Aristotelian Society 75'': 33-49.



BOOKS


  • K. Lorenz, P. Lorenzen: ''Dialogische Logik'', Darmstadt 1978

  • P. Lorenzen: ''Lehrbuch der konstruktiven Wissenschaftstheorie'', Stuttgart 2000 ISBN 3-476-01784-2

  • R. Inhetveen: ''Logik. Eine dialog-orientierte Einführung.'', Leipzig 2003 ISBN 3-937219-02-1



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