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» Mathematical Induction in Otter-Lambda
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ECAI
1994
Springer
13 years 11 months ago
Reusing Proofs
1 We develop a learning component for a theorem prover designed for verifying statements by mathematical induction. If the prover has found a proof, it is analyzed yielding a so-ca...
Thomas Kolbe, Christoph Walther
PADL
2012
Springer
12 years 2 months ago
Typing the Numeric Tower
In the past, the creators of numerical programs had to choose between simple expression of mathematical formulas and static type checking. While the Lisp family and its dynamically...
Vincent St-Amour, Sam Tobin-Hochstadt, Matthew Fla...
ASIAN
2006
Springer
91views Algorithms» more  ASIAN 2006»
13 years 10 months ago
A Type-Theoretic Framework for Formal Reasoning with Different Logical Foundations
Abstract. A type-theoretic framework for formal reasoning with different logical foundations is introduced and studied. With logic-enriched type theories formulated in a logical fr...
Zhaohui Luo
IJCAI
1997
13 years 8 months ago
Automation of Diagrammatic Reasoning
Theoremsin automated theorem proving are usually proved by logical formal proofs. However,there is a subset of problems which humanscan prove in a different wayby the use of geome...
Mateja Jamnik, Alan Bundy, Ian Green
BIRTHDAY
2010
Springer
13 years 7 months ago
Dynamic Rippling, Middle-Out Reasoning and Lemma Discovery
Abstract. We present a succinct account of dynamic rippling, a technique used to guide the automation of inductive proofs. This simplifies termination proofs for rippling and hence...
Moa Johansson, Lucas Dixon, Alan Bundy