Abstracts of Lectures at School in Logic and Computation

Heriot-Watt University, Edinburgh

10-13 April 1999

Samson Abramsky

University of Edinburgh

Concurrent Games and Full Completeness for Linear Logic

Game semantics has emerged as a powerful paradigm for giving semantics to a variety of logical systems and programming languages. It has been used to prove full completeness results - completeness at the level of proofs, not merely provability - and to give the first syntax-independent constructions of fully abstract models for a spectrum of programming languages ranging from purely functional languages to languages with non-functional features such as control operators and references. There are also applications to the semantics of branching quantifiers and ``independence-friendly'' logics, which have connections to the semantics of natural language. In this talk we will present a concurrent games model of Linear Logic, and a full completeness result will be described.

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