Conjecture Synthesis for Inductive Theories
Conjecture Synthesis for Inductive Theories
复制标题
归纳理论的猜想综合
DOI:
10.1007/s10817-010-9193-y
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
A. Bundy
中科院分区:
文献类型:
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作者:
Moa Johansson;L. Dixon;A. Bundy
We have developed a program for inductive theory formation, called IsaCoSy, which synthesises conjectures ‘bottom-up’ from the available constants and free variables. The synthesis process is made tractable by only generating irreducible terms, which are then filtered through counter-example checking and passed to the automatic inductive prover IsaPlanner. The main technical contribution is the presentation of a constraint mechanism for synthesis. As theorems are discovered, this generates additional constraints on the synthesis process. We evaluate IsaCoSy as a tool for automatically generating the background theories one would expect in a mature proof assistant, such as the Isabelle system. The results show that IsaCoSy produces most, and sometimes all, of the theorems in the Isabelle libraries. The number of additional un-interesting theorems are small enough to be easily pruned by hand.
影响因子:
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作者:
Alan Bundy (Author)
通讯作者:
Alan Bundy (Author)