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We analyse and develop the recent suggestion that a temporal form of quantumlogic provides the natural mathematical framework within which to discuss theproposal by Gell-Mann and Hartle for a generalised form of quantum theory basedon the ideas of histories and decoherence functionals. Particular stress isplaced on properties of the space of decoherence functionals, including one wayin which certain global and topological properties of a classical system arereflected in a quantum history theory.Comment: 32 pages, Imperial/TP/93--94/3

Quantum temporal logic and decoherence functionals in the histories approach to generalized quantum theory