Displaying similar documents to “On independence-friendly fixpoint logics”

Three notes on the complexity of model checking fixpoint logic with chop

Martin Lange (2007)

RAIRO - Theoretical Informatics and Applications

Similarity:

This paper analyses the complexity of model checking fixpoint logic with Chop – an extension of the modal -calculus with a sequential composition operator. It uses two known game-based characterisations to derive the following results: the combined model checking complexity as well as the data complexity of FLC are EXPTIME-complete. This is already the case for its alternation-free fragment. The expression complexity of FLC is trivially P-hard and limited from above by the complexity...

Logical consequence and the theory of games

Paul Harrenstein (2004)

Philosophia Scientiae

Similarity:

Logical notions of consequence have frequently been related to game-theoretical solution concepts. The correspondence between a formula being classically valid and the existence of a winning strategy for a player in a related two-person game, has been most prominent in this context. We propose a conservative extension of the classical notion of consequence that is based on a generalization of the game-theoretical solution concept of Nash equilibrium.

Fixpoints, games and the difference hierarchy

Julian C. Bradfield (2003)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Similarity:

Drawing on an analogy with temporal fixpoint logic, we relate the arithmetic fixpoint definable sets to the winning positions of certain games, namely games whose winning conditions lie in the difference hierarchy over Σ 2 0 . This both provides a simple characterization of the fixpoint hierarchy, and refines existing results on the power of the game quantifier in descriptive set theory. We raise the problem of transfinite fixpoint hierarchies.

Diversity of logical agents in games

Johan van Benthem, Fenrong Liu (2004)

Philosophia Scientiae

Similarity:

Epistemic agents may have different powers of observation and reasoning, and we show how this diversity fits into dynamic update logics.

On knowledge games.

J. M. Lasry, J. M. Morel, S. Solimini (1989)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

We give a formalization of the ?knowledge games? which allows to study their decidability and convergence as a problem of mathematics. Our approach is based on a metalemma analogous to those of Von Neumann and Morgenstern at the beginning of Game Theory. We are led to definitions which characterize the knowledge games as objects is standard set theory. We then study rigorously the most classical knowledge games and, although we also prove that the ?common knowledge? in these games may...