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2. Hilbert's problems - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_problems

   Problems 1, 2, 5, 6, [g] 9, 11, 12, 15, 21, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis ), 13 and 16 [ h ] unresolved, and 4 and 23 as too vague to ever be described as solved.

3. List of undecidable problems - Wikipedia

   en.wikipedia.org/wiki/List_of_undecidable_problems

   Hilbert's Entscheidungsproblem. Type inference and type checking for the second-order lambda calculus (or equivalent). [ 1] Determining whether a first-order sentence in the logic of graphs can be realized by a finite undirected graph. [ 2] Trakhtenbrot's theorem - Finite satisfiability is undecidable.

4. English grammar - Wikipedia

   en.wikipedia.org/wiki/English_grammar

   English grammar is the set of structural rules of the English language.This includes the structure of words, phrases, clauses, sentences, and whole texts.. This article describes a generalized, present-day Standard English – a form of speech and writing used in public discourse, including broadcasting, education, entertainment, government, and news, over a range of registers, from formal to ...

5. List of unsolved problems in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_unsolved_problems...

   Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

6. Parsing expression grammar - Wikipedia

   en.wikipedia.org/wiki/Parsing_expression_grammar

   In computer science, a parsing expression grammar ( PEG) is a type of analytic formal grammar, i.e. it describes a formal language in terms of a set of rules for recognizing strings in the language. The formalism was introduced by Bryan Ford in 2004 [ 1] and is closely related to the family of top-down parsing languages introduced in the early ...

7. Hilbert's sixth problem - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_sixth_problem

   Hilbert's sixth problem. Hilbert's sixth problem is to axiomatize those branches of physics in which mathematics is prevalent. It occurs on the widely cited list of Hilbert's problems in mathematics that he presented in the year 1900. [ 1] In its common English translation, the explicit statement reads: Stairs of model reduction from ...