The origin of the Entscheidungsproblem goes back to Gottfried Leibniz , who in the seventeenth century, after having constructed a successful mechanical calculating machine , dreamt of building a machine that could manipulate symbols in order to determine the truth values of mathematical statements.
In , David Hilbert and Wilhelm Ackermann posed the question in the form outlined above. In continuation of his "program", Hilbert posed three questions at an international conference in , the third of which became known as "Hilbert's Entscheidungsproblem.
As late as , Hilbert believed that there would be no such thing as an unsolvable problem. Before the question could be answered, the notion of "algorithm" had to be formally defined. Turing immediately recognized that these are equivalent models of computation.
The negative answer to the Entscheidungsproblem was then given by Alonzo Church in —36 Church's theorem and independently shortly thereafter by Alan Turing in Turing's proof. He relied heavily on earlier work by Stephen Kleene. Turing reduced the question of the existence of a 'general method' which decides whether any given Turing Machine halts or not the halting problem to the question of the existence of an 'algorithm' or 'general method' able to solve the Entscheidungsproblem.
If 'Algorithm' is understood as being equivalent to a Turing Machine, and with the answer to the latter question negative in general , the question about the existence of an Algorithm for the Entscheidungsproblem also must be negative in general. Entscheidung nach Punkten. To add entries to your own vocabulary , become a member of Reverso community or login if you are already a member.
It's easy and only takes a few seconds:. Or sign up in the traditional way. Edit the entry Delete the entry Add a suggestion Add comment Validate! It is always useful to exchange information on economic policy decisions. Prohibition of arbitrary decisions concerning nationality issues. Furthermore, rulings , when made, can often be difficult to enforce. I am not in a position to hand down rulings that might be better sought from the Court of Justice. Mr Donnelly, that is an opinion on another parliament's decision.
There has been no political difference of opinion in the Commission on that decision. It is unfortunate that we have not decided to postpone making the decision. Of course we are waiting anxiously for the decision of the Danish people. Entscheidung also: Urteil , herrschend , entscheidend , regelnd , vorherrschend. A representative may appeal against the ruling of the President. However, the Court was not entirely negative in its ruling.
Entscheidung also: Entscheidungsinstanz , Schiedsgericht , Schiedsgerichtsbarkeit , Schiedsgerichtsverfahren , Schlichtung durch Schiedsspruch , Streitschlichtung.
The appeal shall be accompanied by a certified copy of the decision of the Arbitration Committee which is contested. Word of the Day proofread. Blog Did you have a nice weekend?
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