## Logic and Information FlowThe thirteen chapters written expressly for this book by logicians, theoretical computer scientists, philosophers, and semanticists address, from the perspective of mathematical logic, the problems of understanding and studying the flow of information through any information-processing system. The logic of information flow has applications in both computer science and natural language processing and is a growing area within mathematical and philosophical logic. Consequently, Logic and Information Flow will be of interest to theoretical computer scientists wanting information on up-to-date formalisms of dynamic logic, and their possible applications; logicians who wish to expand their discipline beyond the realm of sound reasoning in the narrow sense; and philosophers who are looking at the nature of information and action, and at the relation between those concepts. Contents: "Logic and Information Flow," Jan van Eijck and Albert Visser. "A Note on Dynamic Arrow Logic," Johan van Benhem. "Axiomatizing Dynamic Predicate Logic with Quantified Dynamic Logic," Jan van Eijck. "How Logic Emerges from the Dynamics of Information," Peter Gardenfors. "On Action Algebras," Dexter Kozen. "Logic and Control: How They Determine the Behaviour of Presuppositions," Marcus Kracht. "Classification Domains and Information Links: A Brief Survey," Lawrence Moss and Jerry Seligman. "Process Algebra and Dynamic Logic," Alban Ponse. "A Roadmap of Some Two-Dimensional Logics," Vaughan Pratt. "New Landmarks on the Roadmap of Two-Dimensional Logics," Hajnal Andreka, Istvan Nemeti, and Ildiko Sain. "Meeting Some Neighbours," Maarten de Rijke. "Actionsunder Presuppositions," Albert Visser. |

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### Contents

Logic and Information Flow | 1 |

A Note on Dynamic Arrow Logic | 15 |

Axiomatizing Dynamic Predicate Logic with Quantified | 30 |

How Logic Emerges from the Dynamics of Information | 49 |

On Action Algebras | 78 |

A Brief | 112 |

Process Algebra and Dynamic Logic | 125 |

A Roadmap of Some TwoDimensional Logics | 149 |

Some New Landmarks on the Roadmap of | 163 |

Actions under Presuppositions | 196 |