Gödel’96: Logical Foundations of Mathematics, Computer Science, and Physics , 6:167–172. Springer: Lecture Notes in Logic, 1996. Andrews, Peter B. “On Connections and Higher-Order Logic.” Journal of AutomatedReasoning 5:3 (1989), 257–291. Bentert, Matthias, Benzmüller, Christoph, Streit, David and Woltzenlogel Paleo, Bruno. “Analysis of an Ontological Proof Proposed by Leibniz.” In Death and Anti-Death, Volume 14: Four Decades After Michael Polanyi, Three Centuries After G.w. Leibniz , edited by Charles Tandy. Ria University Press, 2016. Benzmüller, Christoph
logical formalisms that allow for quantification over predicate and function variables, i. e. quantification is not restricted to individuals as in first-order logic. The most common formulations used today in the context of computer-assisted reasoning are based on a simply typed λ -calculus as proposed by Church in the 1940s [ 1 ]. In the remainder, the term HOL is used synonymously to Extensional Type Theory [ 9 ], which is also assumed by most contemporary higher-order automatedreasoning systems. HOL, being a sub-system of Church’s original formulation, provides
To address archaeology’s most pressing substantive challenges, researchers must discover, access,
and extract information contained in the reports and articles that codify so much of archaeology’s knowledge.
These efforts will require application of existing and emerging natural language processing technologies
to extensive digital corpora. Automated classification can enable development of metadata needed for the
discovery of relevant documents. Although it is even more technically challenging, automated extraction of
and reasoning with information from texts can provide urgently needed access to contextualized information
within documents. Effective automated translation is needed for scholars to benefit from research published
in other languages.
R eferences  Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of AutomatedReasoning , 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.  Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of AutomatedReasoning , 55(3):191–198, 2015. doi:10.1007/s10817-015-9345-1.  Nathan Jacobson. Basic Algebra I . Dover Books on Mathematics, 1985.  Heinz Lüneburg
References  A. A. Albert. Quasigroups. I. Transactions of the American Mathematical Society , 54(3): 507–519, 1943.  Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of AutomatedReasoning , 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.  Maria Paola Bonacina and Mark E. Stickel, editors. AutomatedReasoning and Mathematics – Essays in Memory of William W. McCune , volume 7788 of