An introduction to the theory of lists
Proceedings of the NATO Advanced Study Institute on Logic of programming and calculi of discrete design
Journal of Logic Programming
Triple Dots in a Formal Language
Journal of Automated Reasoning
The Use of Explicit Plans to Guide Inductive Proofs
Proceedings of the 9th International Conference on Automated Deduction
Proceedings of the 10th International Conference on Automated Deduction
System Description: Proof Planning in Higher-Order Logic with Lambda-Clam
CADE-15 Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
Minimally strict polymorphic functions
Proceedings of the 13th international ACM SIGPLAN symposium on Principles and practices of declarative programming
Proving properties about functions on lists involving element tests
WADT'10 Proceedings of the 20th international conference on Recent Trends in Algebraic Development Techniques
Tentative experiments with ellipsis in mizar
CICM'12 Proceedings of the 11th international conference on Intelligent Computer Mathematics
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In this paper we explore the use of ellipsis in proofs about lists. We present a higher-order formulation of elliptic formulae, and describe its implementation in the λClam proof planner. We use an unambiguous higher-order formulation of lists which is amenable to formal proofs without using induction, sind to display using the familicir... notation.