# Soundness

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**Gödel's completeness theorem**— is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first order logic. It was first proved by Kurt Gödel in 1929. A first order formula is called logically valid if… …52

**Natural deduction**— In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the natural way of reasoning. This contrasts with the axiomatic systems which instead use… …53

**Deductive reasoning**— Deductive reasoning, also called deductive logic, is reasoning which constructs or evaluates deductive arguments. Deductive arguments are attempts to show that a conclusion necessarily follows from a set of premises or hypotheses. A deductive… …54

**German Shepherd Dog**— Other names Alsatian Berger Allemand Deutscher Schäferhund GSD Schäferhund Country of origin Germany Traits …55

**List of philosophy topics (R-Z)**— RRaRabad Rabbinic law Rabbinic theology Francois Rabelais François Rabelais race racetrack paradox racism Gustav Radbruch Janet Radcliffe Richards Sarvepalli Radhakrishnan radical Aristotelianism radical behaviourism radical feminism radical… …56

**Commodity Futures Modernization Act of 2000**— The Commodity Futures Modernization Act of 2000 (CFMA) is United States federal legislation that officially ensured the deregulation of financial products known as over the counter derivatives. It was signed into law on December 21, 2000 by… …57

**Welsh Pony**— Infobox Horse name= Welsh Pony status = DOM image caption= A Welsh Pony in a natural setting altname= Welsh Mountain Pony country= Wales features = Hardy, surefooted, intelligent. Refined with clean bone, with substance, stamina and soundness.… …58

**History of the United States dollar**— The history of the United States dollar covers more than 200 years.Early historyThe history of the dollar in North America pre dates US independence. Even before the Declaration of Independence, the Continental Congress had authorized the… …59

**Navicular Disease**— is a soundness problem in horses, more accurately called navicular syndrome as opposed to disease. It most commonly describes an inflammation or degeneration of the navicular bone and its surrounding tissues, usually on the front feet. It can… …60

**IP (complexity)**— In computational complexity theory, the class IP is the class of problems solvable by an interactive proof system. The concept of an interactive proof system was first introduced by Goldwasser, et al. in 1985. An interactive proof system consists …