Axiomatization of Typed First-Order Logic

  • Peter H. Schmitt
  • Mattias Ulbrich
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9109)


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.


Atomic Formula Predicate Symbol Congruence Relation Basic Signature Sequent Calculus 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of InformaticsKarlsruhe Institute of Technology (KIT)KarlsruheGermany

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