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Arrow-arrow correlations for the six-vertex model
Physical Review E, 2013The six-vertex model on a square lattice is "exactly solvable" because an exact formula for the free energy can be obtained by the Bethe ansatz. However, exact formulas for the correlations of local bulk observables, such as the orientation of the arrow at a given edge, are, in general, not available.
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, 1983 Space and time are the most fundamental ideas of the scientist’s picture of the world, and also of the language in which we all describe our thoughts and sensations. We use the concepts of space and time to “relate” ourselves to world phenomena that we and other people observe and to “verify” that what other people report to us as “their observations ...
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Arrows Pointing at Arrows: Arrow Logic, Relevance Logic, and Relation Algebras
2014Richard Routley and Robert K. Meyer introduced a ternary relational semantics for various relevance logics in the early 1970s. Johan van Benthem and Yde Venema introduced “arrow logic” in the early 1990s and about the same time I showed how a variation of the Routley–Meyer semantics could be used to provide an interpretation of Tarski’s axioms for ...
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