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The structured program theorem, also called the Böhm–Jacopini theorem, [1] [2] is a result in programming language theory.It states that a class of control-flow graphs (historically called flowcharts in this context) can compute any computable function if it combines subprograms in only three specific ways (control structures).
Structured programming is a programming paradigm aimed at improving the clarity, quality, and development time of a computer program by making specific disciplined use of the structured control flow constructs of selection (if/then/else) and repetition (while and for), block structures, and subroutines.
His most influential contribution is the so-called structured program theorem, published in 1966 together with Giuseppe Jacopini. Together with Alessandro Berarducci, he demonstrated an isomorphism between the strictly-positive algebraic data types and the polymorphic lambda-terms, otherwise known as Böhm–Berarducci encoding.
In 1973 S. Rao Kosaraju refined the structured program theorem by proving that it is possible to avoid adding additional variables in structured programming, as long as arbitrary-depth, multi-level breaks from loops are allowed. [18]
The structured program theorem proved that the goto statement is not necessary to write programs that can be expressed as flow charts; some combination of the three programming constructs of sequence, selection/choice, and repetition/iteration are sufficient for any computation that can be performed by a Turing machine, with the caveat that ...
Zuckerberg announced the end of Facebook's third-party fact checking program on Jan. 7 because of what he said were concerns of bias and the over-enforcement of rules.
The Valiant–Vazirani theorem is a theorem in computational complexity theory. It was proven by Leslie Valiant and Vijay Vazirani in their paper titled NP is as easy as detecting unique solutions published in 1986. [2] The theorem states that if there is a polynomial time algorithm for Unambiguous-SAT, then NP=RP.
The Department of Juvenile Justice asserts that problems with a company’s program in one state do not necessarily raise concerns about its activities in another. “Comparisons between states can be difficult since juvenile justice is administered differently around the country,” said Meghan Speakes Collins, the DJJ spokeswoman.