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What (who) is XDH assumption - definition
XDH assumption
The external Diffie–Hellman (XDH) assumption is a computational hardness assumption used in elliptic curve cryptography. The XDH assumption holds that there exist certain subgroups of elliptic curves which have useful properties for cryptography.
Open-world assumption
FORMAL-LOGIC ASSUMPTION THAT THE TRUTH-VALUE OF A STATEMENT IS INDEPENDENT OF WHETHER IT IS KNOWN BY ANY SINGLE OBSERVER OR AGENT TO BE TRUE
Open World Assumption; Open World assumption; Open world assumption; Open-world semantics; Partial-closed world assumption
In a formal system of logic used for knowledge representation, the open-world assumption is the assumption that the truth value of a statement may be true irrespective of whether or not it is known to be true. It is the opposite of the closed-world assumption, which holds that any statement that is true is also known to be true.
Decisional Diffie–Hellman assumption
The decisional Diffie–Hellman (DDH) assumption is a computational hardness assumption about a certain problem involving discrete logarithms in cyclic groups. It is used as the basis to prove the security of many cryptographic protocols, most notably the ElGamal and Cramer–Shoup cryptosystems.
