Logic for 2D Conception of Inference

Authors

RACLAVSKÝ Jiří

Year of publication 2018
Type Appeared in Conference without Proceedings
MU Faculty or unit

Faculty of Arts

Citation
Description The talk contributes to two-dimensional (2D) conception of inference, pioneered by Frege and defended e.g. by Tichy. In fact, natural deduction in Gentzen style, widely used as deduction system for type theories, implements the 2D-conception. I reformulate and extend Tichy's deduction system (but similar systems can be used as well) to fully meet the programmatic goals of 2D-conception: inference steps are sequents and higher-order rules operate on these sequents. In the final part of the talk, I apply the resulting machinery to a particular example of reasoning and convert it into a proper piece of 2D-inference.
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