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Abstract
We propose a definition of determinism for a physical system that includes, besides
the measurement device, the surrounding environment. This enlarged system is assumed
to follow a predefined trajectory starting from some (unknown) initial conditions
that play the role of hidden variables for the experiment. These assumptions, which
are different from realism, allow us to derive a type of time Bell inequalities, which
are violated by Quantum Mechanics. In order to illustrate this violation, we discuss
the particular case of measurements on a spin 1/2 particle.