Analogy as a Control Strategy in Theorem Proving (1997) [3 citations — 3 self]
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by Erica Melis, Jon Whittle
in Proceedings of the 10th Florida International AI Conference (FLAIRS-97
http://www.ags.uni-sb.de/~melis/Pub/flairs.ps.gz
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Abstract:
We investigate analogy-driven proof plan construction as a control strategy in proof planning. The decisions taken in planning a source theorem are replayed for planning a similar target theorem. Our analogy procedure, ABALONE, implemented on top of the proof planner CL A M, is capable of a controlled replay of the source planning process. ABALONE provides additional control at key points of the target planning process by suggesting induction schemes, speculating lemmas, and patching failed plans. 1
Citations
| 201 | Derivational analogy: A theory of reconstructive problem solving and expertise acquisition – Carbonell - 1986 |
| 104 | Learning by analogy: Formulating and generalizing plans from past experience – Carbonell - 1983 |
| 93 | Experiments with proof plans for induction – Bundy, Harmelen, et al. - 1991 |
| 81 | Productive use of failure in inductive proof – Ireland, Bundy - 1996 |
| 42 | A model of analogy-driven proof-plan construction – Melis - 1995 |
| 38 | Reusing proofs – Kolbe, Walther - 1994 |
| 14 | Lemma discovery in automating induction – Kapur, Subramaniam - 1104 |
| 11 | Analogy in CLAM – Melis - 1995 |
| 6 | Analogy in CL A M – Whittle - 1995 |
| 3 | Proof by analogy in mural – Vadera - 1995 |
