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!<math>I_{\cap}^{\text{MMI}}</math><ref>Adam B Barrett. Exploration of synergistic and redundant information sharing in static and dynamical gaussian systems. Physical Review E, 91(5):052802,

!<math>I_{\cap}^{\text{MMI}}</math><ref>Adam B Barrett. Exploration of synergistic and redundant information sharing in static and dynamical gaussian systems. Physical Review E, 91(5):052802,

2015.</ref>

2015.</ref>

!<math>I_{\cap}^{\wedge}</math><ref></ref>

!<math>I_{\cap}^{\wedge}</math><ref>Virgil Griffith, Edwin KP Chong, Ryan G James, Christopher J Ellison, and James P Crutchfield. Intersection information based on common randomness.

!<math>I_{\cap}^{\text{GH}}</math><ref></ref>

Entropy, 16(4):1985–2000, 2014.</ref>

!<math>I_{\cap}^{\text{Ince}}</math><ref></ref>

!<math>I_{\cap}^{\text{GH}}</math><ref>Virgil Griffith and Tracey Ho. Quantifying redundant information in predicting a target random variable. Entropy, 17(7):4644–4653, 2015.</ref>

!<math>I_{\cap}^{\text{FL}}</math><ref></ref>

!<math>I_{\cap}^{\text{Ince}}</math><ref>Robin AA Ince. Measuring multivariate redundant information with pointwise common change in surprisal. Entropy, 19(7):318, 2017.</ref>

!<math>I_{\cap}^{\text{BROJA}}</math><ref></ref>

!<math>I_{\cap}^{\text{FL}}</math><ref>Conor Finn and Joseph T Lizier. Pointwise partial information decompositionusing the specificity and ambiguity lattices. Entropy, 20(4):297, 2018.

!<math>I_{\cap}^{\text{Harder}}</math><ref></ref>

</ref>

!<math>I_{\cap}^{\text{dep}}</math><ref></ref>

!<math>I_{\cap}^{\text{BROJA}}</math><ref>Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, Jürgen Jost, and Nihat Ay. Quantifying unique information. Entropy, 16(4):2161–2183, 2014.</ref>

!<math>I_{\cap}^{\text{Exp}}</math><ref></ref>

!<math>I_{\cap}^{\text{Harder}}</math><ref>Malte Harder, Christoph Salge, and Daniel Polani. Bivariate measure of redundant information. Physical Review E, 87(1):012130, 2013.</ref>

!<math>I_{\cap}^{\text{dep}}</math><ref>Ryan G James, Jeffrey Emenheiser, and James P Crutchfield. Unique information via dependency constraints. Journal of Physics A: Mathematical and

Theoretical, 52(1):014002, 2018.</ref>

!<math>I_{\cap}^{\text{Exp}}</math><ref>Lyu, Aobo, Andrew Clark, and Netanel Raviv. "Explicit Formula for Partial Information Decomposition." arXiv preprint arXiv:2402.03554 (2024).</ref>

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|<math>Y = X_1 \text{ AND } X_2</math>

|<math>Y = X_1 \text{ AND } X_2</math>