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» The Algebra of Equality Proofs
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CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 8 months ago
Chunky and Equal-Spaced Polynomial Multiplication
Finding the product of two polynomials is an essential and basic problem in computer algebra. While most previous results have focused on the worst-case complexity, we instead emp...
Daniel S. Roche
JAR
2006
71views more  JAR 2006»
13 years 7 months ago
Mathematical Induction in Otter-Lambda
Otter-lambda is Otter modified by adding code to implement an algorithm for lambda unification. Otter is a resolution-based, clause-language first-order prover that accumulates de...
Michael Beeson
LICS
2008
IEEE
14 years 2 months ago
Structural Logical Relations
Tait’s method (a.k.a. proof by logical relations) is a powerful proof technique frequently used for showing foundational properties of languages based on typed λ-calculi. Histo...
Carsten Schürmann, Jeffrey Sarnat
APAL
2007
119views more  APAL 2007»
13 years 8 months ago
An algebraic approach to subframe logics. Intuitionistic case
We develop duality between nuclei on Heyting algebras and certain binary relations on Heyting spaces. We show that these binary relations are in 1–1 correspondence with subframe...
Guram Bezhanishvili, Silvio Ghilardi
APAL
2004
84views more  APAL 2004»
13 years 7 months ago
Finite, integral, and finite-dimensional relation algebras: a brief history
Relation were invented by Tarski and his collaborators in the middle of the twentieth century. The concept of integrality arose naturally early in the history of the subject, and s...
Roger D. Maddux