Parameterized Logical Theories

A theory in first-order logic is a set of sentences. A parameterized theory is a first-order theory with some of its predicates and functions identified as parameters, together with some import statements that call other parameterized theories. A KB is then a collection of these interconnected parameterized theories, similar to how a computer program is constructed as a set of functions in a modern programming language. In this paper, we provide a translational semantics for these parameterized theories in first-order logic using the situation calculus. We also discuss their potential uses in areas such as multi-context reasoning and logical formalization of computer programs.

Authors

• Fangzhen Lin Hong Kong University of Science and Technology

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