New Formalized Results on the Meta-Theory of a Paraconsistent Logic

Classical logics are explosive, meaning that everything follows from a contradiction. Paraconsistent logics are logics that are not explosive. This paper presents the meta-theory of a paraconsistent infinite-valued logic, in particular new results showing that while the question of validity for a given formula can be reduced to a consideration of only finitely many truth values, this does not mean that the logic collapses to a finite-valued logic. All definitions and theorems are formalized in the Isabelle/HOL proof assistant

An Experience with and Reflections on Live Coding with Active Learning

In this paper I report and reflect on a concrete experience with changing an introductory programming course from being based on "classical lectures" to being based on live coding with active learning. The experiment is built on learnings found in the literature and the pedagogical theories of scaffolding, think-pair-share and teaching as facilitation of learning. I reflect on the students\u27 reaction to the experiment, the difficulty of the active learning, how to keep time, coverage of learning objectives, the degree of improvisation and student involvement. The experiment was well received by the students, and I report also on the feedback. My hope is that educators who want to introduce live coding with active learning will be able to draw inspiration from my preparation of, execution of and reflections on the experiment

How I convinced Isabelle that resolution is complete

Isabelle is a proof assistant, i.e., a computer program that can help its user conduct proofs and check their correctness. In this talk I motivate the use of proof assistants, and I explain how I used Isabelle to prove a logical system, the resolution calculus, sound and complete

NaDeA: A Natural Deduction Assistant with a Formalization in Isabelle

We present a new software tool for teaching logic based on natural deduction. Its proof system is formalized in the proof assistant Isabelle such that its definition is very precise. Soundness of the formalization has been proved in Isabelle. The tool is open source software developed in TypeScript / JavaScript and can thus be used directly in a browser without any further installation. Although developed for undergraduate computer science students who are used to study and program concrete computer code in a programming language we consider the approach relevant for a broader audience and for other proof systems as well.Comment: Proceedings of the Fourth International Conference on Tools for Teaching Logic (TTL2015), Rennes, France, June 9-12, 2015. Editors: M. Antonia Huertas, Jo\~ao Marcos, Mar\'ia Manzano, Sophie Pinchinat, Fran\c{c}ois Schwarzentrube