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The problem of finding a way to decide whether a formula or class of formulas is true or provable within a given system of axioms.
‘In a lecture given at Harvard during 1939-40 Tarski said: -… the solution of the decision problem in its most general form is negative.… [Surely] many mathematicians experienced a profound feeling of relief when they heard of this result.’
‘Consequently, what a we-intention does, subsequent to its formation, is reduce the number of degrees of freedom in, for example, a two-by-two decision problem, from two degrees to one.’
‘He worked on mathematical logic solving certain cases of the decision problem for the first order predicate calculus, simplified results of Bernays, and worked on ideas of Post, Gödel and Church.’
‘This is a representation of ‘all logical and physical relations between variables representing the decision problem being examined.’’
‘In normal times, experienced professionals enjoy a stable and relatively small gap between their competence to understand the markets and the difficulty of the decision problem facing them.’
Origin
1930s: translation of German Entscheidungsproblem.