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\iteman{ZMATH 2011c.00419}
\itemau{Lodder, Josje; Heeren, Bastiaan}
\itemti{A teaching tool for proving equivalences between logical formulae.}
\itemso{Blackburn, Patrick (ed.) et al., Tools for teaching logic. Third international congress, TICTTL 2011, Salamanca, Spain, June 1--4, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21349-6/pbk). Lecture Notes in Computer Science 6680. Lecture Notes in Artificial Intelligence, 154-161 (2011).}
\itemab
Summary: In this paper we describe a teaching tool for proving equivalences between propositional logic formulae, using rewrite rules such as De Morgan's laws and double negation. This tool is based on an earlier tool for rewriting logical formulae into disjunctive normal form (DNF). Both tools make use of a rewrite strategy, which specifies how an exercise can be solved stepwise. Different types of feedback can be calculated automatically from such a strategy specification. We describe a strategy for constructing expert-like equivalence proofs, and present two techniques for improving the proofs that are generated by the strategy.
\itemrv{~}
\itemcc{E35 D45 R25 R55 U55 A65}
\itemut{propositional logic; equivalences; e-learning; feedback}
\itemli{doi:10.1007/978-3-642-21350-2\_18}
\end