Makoto Fujiwara: Bar theorem and bar recursion for continuous functions with continuous modulus
The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: (joint work with Tatsuji Kawai) Bar induction is originally discussed by L. E. J. Brouwer under the name of “bar theorem” in his intuitionistic mathematics but first formali
From playlist Workshop: "Constructive Mathematics"
Applying the recursive formula to a sequence to determine the first five terms
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
Paulo Oliva: On a Dialectica like version of Kleene numerical realizability
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Kleene's original notion of realizability (1945) makes use of all (partial) computable functions as potential realisers. Later Kreisel (1959) presented a "modified" notio
From playlist Workshop: "Proofs and Computation"
Michael Rathjen: The Ubiquity of Schütte's Search Trees
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Progressions of theories along paths through Kleene's $\mathcal O$, adding the consistency of the previous theory at every successor step, can deduce every true $\Pi^0_1$
From playlist Workshop: "Proof, Computation, Complexity"
How to use the recursive formula to evaluate the first five terms
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
Using the recursive formula to find the first four terms of a sequence
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
Pattern Matching with Regular Expressions
From playlist CS50 Seminars 2012
10.2.6 Computability, Universality
MIT 6.004 Computation Structures, Spring 2017 Instructor: Chris Terman View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 10.2.6 Computability, Universality License: Creative Commons BY-NC-SA M
From playlist MIT 6.004 Computation Structures, Spring 2017
How to find the first four terms of a recursive formula
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
How to determine the first five terms for a recursive sequence
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
From playlist CS124 - Full Course
Discrete Math - 2.4.2 Recurrence Relations
What is a recurrence relation, and how can we write it as a closed function? Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Applying the recursive formula to a geometric sequence
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
How to find a geometric rule for a recursive sequence
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
IMS Public Lecture : Waking Up from Leibniz' Dream: On the Unmechanizability of Truth
Denis Hirschfeldt, The University of Chicago, USA
From playlist Public Lectures
Determining the first five terms of a geometric recursive formula
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences
Hugo Herbelin: Computing with Markov's principle
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Computing with Markov's principle via a realizability interpretation is standard, using unbounded search as in Kleene's realizability or by selecting the first valid wit
From playlist Workshop: "Proofs and Computation"
Foundations - Seminar 14 - Gödel's incompleteness theorem Part 6
Billy Price and Will Troiani present a series of seminars on foundations of mathematics. In this seminar Will Troiani continues with the proof of Gödel's incompleteness theorem. You can join this seminar from anywhere, on any device, at https://www.metauni.org. This video was filmed in D
From playlist Foundations seminar
Foundations - Seminar 11 - Gödel's incompleteness theorem Part 3
Billy Price and Will Troiani present a series of seminars on foundations of mathematics. In this seminar Will Troiani continues with the proof of Gödel's incompleteness theorem, discussing Gödel's beta function and the role of the Chinese Remainder theorem in the incompleteness theorem. Y
From playlist Foundations seminar
Learn how to find the first five terms of a sequence using the recursive formula
👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in
From playlist Sequences