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Propositional Proof Complexity An Introduction
Propositional Proof Complexity An Introduction

ppt
ppt

True
True

A sequent calculus demonstration of Herbrand`s Theorem
A sequent calculus demonstration of Herbrand`s Theorem

More on Proofs – Part III of Hammack
More on Proofs – Part III of Hammack

A Numeral Toolbox - The Dozenal Society of America
A Numeral Toolbox - The Dozenal Society of America

pdf
pdf

Building explicit induction schemas for cyclic induction reasoning
Building explicit induction schemas for cyclic induction reasoning

Chapter 5.5
Chapter 5.5

Towards NP−P via Proof Complexity and Search
Towards NP−P via Proof Complexity and Search

Ramsey Theory, Integer Partitions and a New Proof of the Erd˝os
Ramsey Theory, Integer Partitions and a New Proof of the Erd˝os

Mathematical Induction Proof by Weak Induction
Mathematical Induction Proof by Weak Induction

YABLO WITHOUT GODEL
YABLO WITHOUT GODEL

... the proof in the previous section does not give us a new paradox. It’s only ‘intensionally’ different from the simple Russell-liar paradox, because the proof is different. But the Yablo argument in the previous section does not establish a new inconsistency. The inconsistency of vs with ser and tra ...
Effectively Polynomial Simulations
Effectively Polynomial Simulations

The Logic of Atomic Sentences
The Logic of Atomic Sentences

... What it takes for an argument to be good (correct): How to demonstrate that an inference is valid: a proof A proof breaks a non-obvious inference down into a series of trivial, obvious steps which lead you from the premises to the conclusion These steps are based on facts about the meaning of the te ...
Complete Sequent Calculi for Induction and Infinite Descent
Complete Sequent Calculi for Induction and Infinite Descent

... • This least prefixed point can be approached via a sequence ...
Lecture 06
Lecture 06

Lecture Notes on Sequent Calculus
Lecture Notes on Sequent Calculus

Proof Nets Sequentialisation In Multiplicative Linear Logic
Proof Nets Sequentialisation In Multiplicative Linear Logic

... Given a sequent calculus proof π of MLL (or MLL + Mix), we can associate to it a proof structure π ∗ , by induction on the height h of π, as follows. If h = 1, then the last rule of π is an axiom with conclusions X, X ⊥ ; π ∗ is an axiom link with conclusions X, X ⊥ . Otherwise: – If the last rule ...
CSE 20 - Lecture 14: Logic and Proof Techniques
CSE 20 - Lecture 14: Logic and Proof Techniques

Formal Proof Example
Formal Proof Example

Proofs
Proofs

CHAPTER 10 Mathematical Induction
CHAPTER 10 Mathematical Induction

... This section describes a useful variation on induction. Occasionally it happens in induction proofs that it is difficult to show that S k forces S k+1 to be true. Instead you may find that you need to use the fact that some “lower” statements S m (with m < k) force S k+1 to be true. For these situat ...
Arithmetic in Metamath, Case Study: Bertrand`s Postulate
Arithmetic in Metamath, Case Study: Bertrand`s Postulate

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Turing's proof

Turing's proof is a proof by Alan Turing, first published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem. It was the second proof of the assertion (Alonzo Church's proof was first) that some decision problems are ""undecidable"": there is no single algorithm that infallibly gives a correct ""yes"" or ""no"" answer to each instance of the problem. In his own words:""...what I shall prove is quite different from the well-known results of Gödel ... I shall now show that there is no general method which tells whether a given formula U is provable in K [Principia Mathematica]..."" (Undecidable p. 145).Turing preceded this proof with two others. The second and third both rely on the first. All rely on his development of type-writer-like ""computing machines"" that obey a simple set of rules and his subsequent development of a ""universal computing machine"".
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