Coalgebras and Modal Logic
by Alexander Kurz
Publisher: ESSLLI 2002
Number of pages: 100
Whereas algebras are used to model abstract data types, coalgebras are used to model dynamic, state based systems. One of the achievements of the theory of coalgebras is to make clear that these seemingly different areas are related by duality. The aim of the course is to explain this duality and to develop some consquences. In particular, recent research lead to the insight that modal logic is dual to equational logic.
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by Patrick Blackburn, Johan van Benthem, Frank Wolter
This Handbook documents the current state of modal logic, a lively area of logical research which was born in philosophy, but which has since made its way into mathematics, linguistics, computer science, AI, and even economic game theory.
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Apart from giving a general introduction to the fundamental ideas and methods of applying algebra in logic, the purpose of this text is to present recent developments from algebra as well as modal logic, in an integrated format.
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Contents: Basic Concepts; Classical SL; Absolute Modal Logic - System L; Relative Modal Logic - System K; Systems Between K and L; Modal Predicate Logic; General First-Order Logic; First-Order Modal Logic; First-Order Modal Logic with Actuality...