Game Description Logic with Integers: A GDL Numerical Extension
This work addresses a domain-specific limitation in game specification for AI and logic communities, offering an incremental improvement over existing formalisms.
The authors tackled the problem of describing games with numerical features in the Game Description Language (GDL) by introducing Game Description Logic with Integers (GDLZ), which allows for numerical variables, parameters, and comparisons, resulting in more compact descriptions compared to GDL.
Many problems can be viewed as games, where one or more agents try to ensure that certain objectives hold no matter the behavior from the environment and other agents. In recent years, a number of logical formalisms have been proposed for specifying games among which the Game Description Language (GDL) was established as the official language for General Game Playing. Although numbers are recurring in games, the description of games with numerical features in GDL requires the enumeration from all possible numeric values and the relation among them. Thereby, in this paper, we introduce the Game Description Logic with Integers (GDLZ) to describe games with numerical variables, numerical parameters, as well as to perform numerical comparisons. We compare our approach with GDL and show that when describing the same game, GDLZ is more compact.