Concise Introduction to Alternating-Time Temporal Logics: A Guide for Understanding the Model-Checking Problem - Demri, Stéphane

The formal verification of multi-agent systems aimed at proving that such systems meet their specifications has given rise to a very active field of research at the crossroads of formal methods, knowledge representation and artificial intelligence. Alternating-time temporal logics are considered as one of the most popular and influential logical formalisms for strategic reasoning in multi-agent systems and have been introduced by Rajeev Alur, Thomas Henzinger and Orna Kupferman about 25 years ago. 

This textbook provides a concise presentation of alternating-time temporal logics dedicated to strategic reasoning in multi-agent systems. Dedicated mainly to the model-checking problem, the work examines developments about basic semantical properties of such logics, decision procedures and computational complexity. It provides results for solving optimally the model-checking problem on concurrent game structures by taking advantage of or adapting proof methods from temporal logics, games in theoretical computer science and automata theory.

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The textbook/guide s target audience includes master students, PhD students and researchers that wish to have a thorough presentation of such logics and their relationships with automata theory, temporal logics, model-checking, energy games and complexity theory.

Stéphane Demri is a CNRS directeur de recherche at the Laboratoire Méthodes Formelles (LMF) and adjunct professor at the Computer Science Department, ENS Paris-Saclay, Gif-sur-Yvette, France.