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» The Algebra of Equality Proofs
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TPHOL
2009
IEEE
16 years 13 days ago
Extended First-Order Logic
ion and equality to base types but retains lambda abstractions and higher-order variables. We show that this fragment enjoys the characteristic properties of first-order logic: co...
Chad E. Brown, Gert Smolka
EJC
2008
15 years 5 months ago
On Postnikov's hook length formula for binary trees
We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
William Y. C. Chen, Laura L. M. Yang
POPL
2009
ACM
16 years 6 months ago
Formal certification of code-based cryptographic proofs
As cryptographic proofs have become essentially unverifiable, cryptographers have argued in favor of developing techniques that help tame the complexity of their proofs. Game-base...
Benjamin Grégoire, Gilles Barthe, Santiago ...
CTCS
1997
Springer
15 years 10 months ago
Monads and Modular Term Rewriting
Monads can be used to model term rewriting systems by generalising the well-known equivalence between universal algebra and monads on the category Set. In [L¨u96], this semantics ...
Christoph Lüth, Neil Ghani
165
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LICS
1994
IEEE
15 years 10 months ago
Subtyping and Parametricity
In this paper we study the interaction of subtyping and parametricity. We describe a logic for a programming language with parametric polymorphism and subtyping. The logic support...
Gordon D. Plotkin, Martín Abadi, Luca Carde...