Heyting algebra — In mathematics, Heyting algebras are special partially ordered sets that constitute a generalization of Boolean algebras, named after Arend Heyting. Heyting algebras arise as models of intuitionistic logic, a logic in which the law of excluded… … Wikipedia
Cryptographic hash function — A cryptographic hash function (specifically, SHA 1) at work. Note that even small changes in the source input (here in the word over ) drastically change the resulting output, by the so called avalanche effect. A cryptographic hash function is a… … Wikipedia
logic, history of — Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher … Universalium
NP-complete — Euler diagram for P, NP, NP complete, and NP hard set of problems In computational complexity theory, the complexity class NP complete (abbreviated NP C or NPC) is a class of decision problems. A decision problem L is NP complete if it is in the… … Wikipedia
Recursion theory — Recursion theory, also called computability theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown to include the study of generalized computability… … Wikipedia
Computability theory — For the concept of computability, see Computability. Computability theory, also called recursion theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown … Wikipedia
Chosen-ciphertext attack — A chosen ciphertext attack (CCA) is an attack model for cryptanalysis in which the cryptanalyst gathers information, at least in part, by choosing a ciphertext and obtaining its decryption under an unknown key. In the attack, an adversary has a… … Wikipedia
Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… … Wikipedia
Goldwasser-Micali cryptosystem — The Goldwasser Micali cryptosystem (GM) is an asymmetric key encryption algorithm developed by Shafi Goldwasser and Silvio Micali in 1982. GM has the distinction of being the first probabilistic public key encryption scheme which is provably… … Wikipedia
Collision resistance — is a property of cryptographic hash functions: a hash function is collision resistant if it is hard to find two inputs that hash to the same output; that is, two inputs a and b such that H(a) = H(b), and a ≠ b.[1]:136 Every hash function with… … Wikipedia
Venona project — The VENONA project was a long running secret collaboration of the United States and United Kingdom intelligence agencies involving cryptanalysis of messages sent by intelligence agencies of the Soviet Union, the majority during World War II.… … Wikipedia