Abstract
Students of proof theory, a branch of formal logic, can benefit from computerized tools. We describe the principles behind one such tool called PROED. This tool is targeted especially at novice students, and therefore it is designed to support effortless exploratory use. We moreover argue that focusing on root-first proof construction in Sequent proof systems helps attain this ef- fortlessness.
Highlights
Kapur (2004) recently wrote: “During the past ten years, theorem proving has been playing an increasingly important role in education
A proof theory for a logic is a formal system for constructing correct proofs for statements written in this logic, such as those presented by Negri and von Plato (2001)
We have explained the principles behind PROED
Summary
Kapur (2004) recently wrote: “During the past ten years, theorem proving has been playing an increasingly important role in education. For certain kinds of proof theories, the computer can generate the intermediate stages of the series without any further guidance from the user This leads to a tool where the student uses mouse operations to indicate only the key choices in constructing the proof, while the computer performs the bookkeeping involved in the concomitant series of rule applications. We feel that such a tool supports effortless experimentation with different proof construction strategies.
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