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Logic Journal of IGPL Advance Access originally published online on August 31, 2007
Logic Journal of IGPL 2007 15(4):359-368; doi:10.1093/jigpal/jzm026
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© The Author, 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

The AProS Project: Strategic Thinking & Computational Logic

Wilfried Sieg

Carnegie Mellon University, Department of Philosophy, Laboratory for Symbolic & Educational Computing. E-mail: sieg{at}cmu.edu


  Abstract

The paper discusses tools for teaching logic used in Logic & Proofs, a web-based introduction to modern logic that has been taken by more than 1,300 students since the fall of 2003. The tools include a wide array of interactive learning environments or cognitive mini-tutors; most important among them is the Carnegie Proof Lab. The Proof Lab is a sophisticated interface for constructing natural deduction proofs and is central, as strategically guided discovery of proofs is the distinctive focus of the course. My discussion makes explicit the broader intellectual context, but also the pursuit of pedagogical goals and their experimental examination. The intellectual context includes i) the theoretical background for the proof search algorithm AProS and its use for a dynamic Proof Tutor, and ii) the programmatic expansion of the course to Computational Logic. (I recommend that the reader enter the virtual classroom of Logic & Proofs: the interactive components just cannot be properly reflected in a narrative. It is also very easy to download AProS and observe its ways of searching for proofs.)1

Key Words: introduction to logic • strategic thinking • automated proof search • dynamic proof tutor • Carnegie Proof Lab • Open Learning Initiative (OLI) • intercalation calculus • natural deduction proof

Received for publication 1 June 2007.
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