Theorems in computational complexity theory | Models of computation
The structured program theorem, also called the Böhm–Jacopini theorem, 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). These are 1. * Executing one subprogram, and then another subprogram (sequence) 2. * Executing one of two subprograms according to the value of a boolean expression (selection) 3. * Repeatedly executing a subprogram as long as a boolean expression is true (iteration) The structured chart subject to these constraints may however use additional variables in the form of bits (stored in an extra integer variable in the original proof) in order to keep track of information that the original program represents by the program location. The construction was based on Böhm's programming language P′′. The theorem forms the basis of structured programming, a programming paradigm which eschews goto commands and exclusively uses subroutines, sequences, selection and iteration. (Wikipedia).
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From playlist Functions (Discrete Math)
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From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
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This video covered the various ways to describe functions in a discrete math class.
From playlist Functions (Discrete Math)
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This video defines and provides examples of discrete and continuous functions.
From playlist Introduction to Functions: Function Basics
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From playlist Algebra 1
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From playlist Mathematics
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PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
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From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
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From playlist Knots Through Web (Online)
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From playlist Minerva Lectures - Assaf Naor
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From playlist Mathematics
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