2015 | OriginalPaper | Chapter
Axiomatization of Typed First-Order Logic
Authors : Peter H. Schmitt, Mattias Ulbrich
Published in: FM 2015: Formal Methods
Publisher: Springer International Publishing
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This paper contributes to the theory of typed first-order logic. We present a sound and complete axiomatization for a basic typed logic lifting restrictions imposed by previous results. As a second contribution, this paper provides complete axiomatizations for the type predicates
instance
T
,
exactInstance
T
, and functions
cast
T
indispensable for reasoning about object-oriented programming languages.