| Abel, Andreas, Chang, Bor-Yuh Evan and Pfenning, Frank. (June 2001). Human-readable machine-verifiable proofs for teaching constructive logic. In Egly, Uwe, Fiedler, Armin, Horacek, Helmut and Schmitt, Stephan, (eds.), Proceedings of the Workshop on Proof Transformations, Proof Presentations and Complexity of Proofs (PTP'01). Universit a degli studi di Siena. |
....for primitive natural deduction proof texts presented in a strictly backwards manner; the underlying structure is oriented towards the established # calculus view of type theory. Here the main idea is to make the types of sub terms (i.e. propositions of local facts) visible in the text. Tutch [Abel et al. 2001] is a strictly text oriented proof checker intended for teaching constructive logic. The system deliberately excludes any kind of user interface, but acts like a batch mode compiler of proof texts written in plain ASCII. Thus students are encouraged to focus on the task of actually writing proofs, ....
.... inferences (cf. the basic formats encountered in [Jape] for example) or even more advanced graphs and pictures rendered as proposed in [Barwise and Etchemendy, 1995] Barwise and Etchemendy, 1998] Several more recent systems (ProveEasy [Burstall, 1998] Mizar Light [Wiedijk, 2000] and Tutch [Abel et al. 2001]) have rediscovered the value of plain textual representations as a primary format for proofs. We argue that complex graphical representations are limited to small examples of formal logic or very special applications only. Diagrammatic presentations are inherently restricted in size and ....
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A. Abel, B.-Y. E. Chang, and F. Pfenning. Human-readable machine-verifiable proofs for teaching constructive logic. IJCAR Workshop on Proof Transformations, Proof Presentations and Complexity of Proofs (PTP01) , http://www.tcs.informatik.uni-muenchen.de/ # abel/ptp01.ps.gz, 2001.
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Abel, Andreas, Chang, Bor-Yuh Evan and Pfenning, Frank. (June 2001). Human-readable machine-verifiable proofs for teaching constructive logic. In Egly, Uwe, Fiedler, Armin, Horacek, Helmut and Schmitt, Stephan, (eds.), Proceedings of the Workshop on Proof Transformations, Proof Presentations and Complexity of Proofs (PTP'01). Universit a degli studi di Siena.
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