In mathematics and computer science, the Entscheidungsproblem (German for 'decision problem'; pronounced[ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed by David Hilbert and Wilhelm Ackermann in 1928.[1] The problem asks for an algorithm that considers, as input, a statement and answers "yes" or "no" according to whether the statement is universally valid, i.e., valid in every structure.
^David Hilbert and Wilhelm Ackermann. Grundzüge der Theoretischen Logik. Springer, Berlin, Germany, 1928. English translation: David Hilbert and Wilhelm Ackermann. Principles of Mathematical Logic. AMS Chelsea Publishing, Providence, Rhode Island, USA, 1950
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In mathematics and computer science, the Entscheidungsproblem (German for 'decision problem'; pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed...
computation in general—and in particular, the uncomputability of the Entscheidungsproblem ('decision problem'). Turing machines proved the existence of fundamental...
in 1946. Because it is simpler than the halting problem and the Entscheidungsproblem it is often used in proofs of undecidability. Let A {\displaystyle...
is white. The Entscheidungsproblem (German for 'decision problem') is a challenge posed by David Hilbert in 1928. The Entscheidungsproblem asks for an algorithm...
calculus, the Church–Turing thesis, proving the unsolvability of the Entscheidungsproblem ("decision problem"), the Frege–Church ontology, and the Church–Rosser...
theorems. Church and Turing independently demonstrated that Hilbert's Entscheidungsproblem (decision problem) was unsolvable, thus identifying the computational...
Turing's 1937 proof, On Computable Numbers, with an Application to the Entscheidungsproblem, demonstrated that there is a formal equivalence between computable...
#3: Was mathematics decidable? The third question is known as the Entscheidungsproblem (Decision Problem). 1930 (1930): Kurt Gödel announces a proof as...
the modern concept of algorithms began with attempts to solve the Entscheidungsproblem (decision problem) posed by David Hilbert. Later formalizations were...
A. M. (1937). "On Computable Numbers, with an Application to the Entscheidungsproblem". Proceedings of the London Mathematical Society. 2. 42 (1): 230–265...
1936 entitled On Computable Numbers, with an Application to the Entscheidungsproblem, which was published in the Proceedings of the London Mathematical...
logic, and posed the problem of its completeness and decidability (Entscheidungsproblem). Ackermann went on to construct consistency proofs for set theory...
Turing's paper "On Computable Numbers, with an Application to the Entscheidungsproblem". The book takes readers sentence by sentence through Turing's paper...
incompleteness theorems - in 1931, Gödel independently demonstrated that the Entscheidungsproblem is not effectively decidable. This result showed that there is no...
seminal paper "On Computable Numbers, with an Application to the Entscheidungsproblem". Common sense might say that a universal machine is impossible,...
his 1936 essay, On Computable Numbers, with an Application to the Entscheidungsproblem (decision problem). This eventually led to the creation of the academic...
publication called "On Computable Numbers, with an Application to the Entscheidungsproblem". It was published in the Proceedings of the London Mathematical...
Alan M. (1936), "On Computable Numbers, with an Application to the Entscheidungsproblem", Proceedings of the London Mathematical Society, 2, vol. 42 (published...
validity problem was posed firstly by David Hilbert, as the so-called Entscheidungsproblem. The universal validity of a formula is a semi-decidable problem...
include: Post correspondence problem Mortality (computability theory) Entscheidungsproblem Recursively enumerable languages (REL) are closed under the following...
and completeness. 1928 - Hilbert and Wilhelm Ackermann propose the Entscheidungsproblem: to determine, for a statement of first-order logic whether it is...
A. M. (1936). "On Computable Numbers, with an Application to the Entscheidungsproblem". Proceedings of the London Mathematical Society. Series 2. 42 (1)...
Turing (1937). "On computable numbers, with an application to the Entscheidungsproblem". Proceedings of the London Mathematical Society. 2 (42). IEEE: 230–265...
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