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RTA
2005
Springer
14 years 3 months ago
The Algebra of Equality Proofs
Proofs of equalities may be built from assumptions using proof rules for reflexivity, symmetry, and transitivity. Reflexivity is an axiom proving x=x for any x; symmetry is a 1-p...
Aaron Stump, Li-Yang Tan
FOSSACS
2010
Springer
14 years 4 months ago
Toward a Compositional Theory of Leftist Grammars and Transformations
Leftist grammars [Motwani et al., STOC 2000] are special semi-Thue systems where symbols can only insert or erase to their left. We develop a theory of leftist grammars seen as wor...
Pierre Chambart, Ph. Schnoebelen
SYNTHESE
2010
87views more  SYNTHESE 2010»
13 years 8 months ago
Proofs, pictures, and Euclid
Though pictures are often used to present mathematical arguments, they are not typically thought to be an acceptable means for presenting mathematical arguments rigorously. With re...
John Mumma
ML
2000
ACM
13 years 9 months ago
Maximizing Theory Accuracy Through Selective Reinterpretation
Existing methods for exploiting awed domain theories depend on the use of a su ciently large set of training examples for diagnosing and repairing aws in the theory. In this paper,...
Shlomo Argamon-Engelson, Moshe Koppel, Hillel Walt...
FSTTCS
2001
Springer
14 years 2 months ago
Rewrite Closure for Ground and Cancellative AC Theories
Given a binary relation IE ∪ IR on the set of ground terms e signature, we define an abstract rewrite closure for IE ∪ IR. act rewrite closure can be interpreted as a speciali...
Ashish Tiwari