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Isomorphism and argumentation

Proceedings of the 12th International Conference on Artificial Intelligence and Law, 2009
As knowledge representation tools become more sophisticated, and computer systems increase in power and ubiquity, the prospects of building practical applications based on the representation of large amounts of legislation draw closer. In this paper we reflect on our experience with developing a knowledge representation language for legal rules and an ...
Trevor J. M. Bench-Capon   +1 more
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Fractional isomorphism of graphs [PDF]

open access: yesDiscrete Mathematics, 1994
Let the adjacency matrices of graphs G and H be A and B. These graphs are isomorphic provided there is a permutation matrix P with AP=PB, or equivalently, A=PBPT. If we relax the requirement that P be a permutation matrix, and, instead, require P only to
Ed Scheinerman
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ISOMORPHISM ON HYP

The Journal of Symbolic Logic, 2016
AbstractWe show that isomorphism is not a complete ${\rm{\Sigma }}_1^1$ equivalence relation even when restricted to the hyperarithmetic reals: If E1 denotes the ${\rm{\Sigma }}_1^1$ (even ${\rm{\Delta }}_1^1$) equivalence relation of [4] then for no Hyp function f do we have xEy iff f(x) is isomorphic to f(y) for all Hyp reals x,y.
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Isomorphisms and non-isomorphisms of at actions

Journal d'Analyse Mathématique, 2009
Measure-theoretic classification of ergodic actions of the integers and reals was developed through the use of von Neumann algebras by Krieger and later by Connes and Woods. In particular, the latter showed that AT (approximatively transitive) actions are classified by their Poisson boundary obtained from an inverse limit of (binomial) polynomials ...
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