Abstract
We introduce a new formalization of Higher-Order-Logic (abbreviated Hol), which we baptized Formath, an acronym for FORMAl MATHematics. We discuss the syntax, semantics, deduction-rules, axioms and principles of extension, after which we prove soundness and consistency. The semantics are comparable to other systems for Hol, such as Hol-4 and Hol-Light, but other parts differ from the traditional way of working, for example the deduction-rules and axioms. We discuss these differences in large extent. We also talk about porting theorems to the Formath library, provide examples and discuss the applications.
Citation
Pieter Audenaert. "The Higher-Order-Logic Formath." Bull. Belg. Math. Soc. Simon Stevin 15 (2) 335 - 367, May 2008. https://doi.org/10.36045/bbms/1210254829
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