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An intuitionistic linear logic algebra is a structure $\mathbf{A}=\langle A,\vee, \bottom, \wedge, \top, \cdot, 1, \backslash, /, 0, !\rangle$ of type $\langle 2, 0, 2, 0, 2, 0, 2, 2, 0, 1\rangle$ such that |
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An intuitionistic linear logic algebra is a structure $\mathbf{A}=\langle A,\vee, \bot, \wedge, \top, \cdot, 1, \backslash, /, 0, !\rangle$ of type $\langle 2, 0, 2, 0, 2, 0, 2, 2, 0, 1\rangle$ such that |
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$\bottom$ is the least element: $\bottom\le x$ |
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$\bot$ is the least element: $\bot\le x$ |