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Teaching a Formalized Logical Calculus

Asta Halkjær From, Alexander Birch Jensen, Anders Schlichtkrull, Jørgen Villadsen
2020 Electronic Proceedings in Theoretical Computer Science  
Classical first-order logic is in many ways central to work in mathematics, linguistics, computer science and artificial intelligence, so it is worthwhile to define it in full detail.  ...  We present soundness and completeness proofs of a sequent calculus for first-order logic, formalized in the interactive proof assistant Isabelle/HOL.  ...  In: Theorem Proving in Higher Order Logics, 18th International Conference, TPHOLs 2005, Oxford, UK, August 22-25, 2005, Proceedings, pp. 294–309, doi:10.1007/11541868 19. [18] Anders Schlichtkrull  ... 
doi:10.4204/eptcs.313.5 fatcat:6mjb5dae3beizfqa2ncyjtmo4y

A monadic, functional implementation of real numbers

RUSSELL O'CONNOR
2007 Mathematical Structures in Computer Science  
Large scale real number computation is an essential ingredient in several modern mathematical proofs.  ...  Melham, editors, Proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2005 , volume 3603 of Lecture Notes in Computer Science , pages 195-210, Oxford, UK,  ...  In Proceedings of the Marktoberdorf Summer School on Program Design Calculi , August 1992. [13] Milad Niqui and Freek Wiedijk. The "many digits" friendly competition 2005.  ... 
doi:10.1017/s0960129506005871 fatcat:4kddlvemijbr3huancudhdpjzi