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Meaning of "proof theory" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF PROOF THEORY

proof theory play
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GRAMMATICAL CATEGORY OF PROOF THEORY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Proof theory is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES PROOF THEORY MEAN IN ENGLISH?

Proof theory

Proof theory is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as plain lists, boxed lists, or trees, which are constructed according to the axioms and rules of inference of the logical system. As such, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Together with model theory, axiomatic set theory, and recursion theory, proof theory is one of the so-called four pillars of the foundations of mathematics. Proof theory is important in philosophical logic, where the primary interest is in the idea of a proof-theoretic semantics, an idea which depends upon technical ideas in structural proof theory to be feasible.

Definition of proof theory in the English dictionary

The definition of proof theory in the dictionary is the branch of logic that studies the syntactic properties of formal theories, esp the syntactic characterization of deductive validity.

WORDS THAT BEGIN LIKE PROOF THEORY

proo
prooemion
prooemium
proof
proof copy
proof of concept
proof of identity
proof of postage
proof of purchase
proof sheets
proof spirit
proof stage
proof stress
proofer
proofless
proofread
proofreader
proofreading
prootic
prop

WORDS THAT END LIKE PROOF THEORY

atomic theory
automata theory
big bang theory
big-bang theory
chaos theory
complexity theory
conspiracy theory
decision theory
game theory
gauge theory
information theory
kinetic theory
model theory
number theory
quantum theory
set theory
string theory
systems theory
the kinetic theory
theory
wave theory

Synonyms and antonyms of proof theory in the English dictionary of synonyms

SYNONYMS

Translation of «proof theory» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF PROOF THEORY

Find out the translation of proof theory to 25 languages with our English multilingual translator.
The translations of proof theory from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «proof theory» in English.

Translator English - Chinese

证明论
1,325 millions of speakers

Translator English - Spanish

teoría de la prueba
570 millions of speakers

English

proof theory
510 millions of speakers

Translator English - Hindi

साक्ष्य सिद्धांत
380 millions of speakers
ar

Translator English - Arabic

نظرية مضادة
280 millions of speakers

Translator English - Russian

теория доказательств
278 millions of speakers

Translator English - Portuguese

teoria da prova
270 millions of speakers

Translator English - Bengali

প্রমাণ তত্ত্ব
260 millions of speakers

Translator English - French

théorie de la preuve
220 millions of speakers

Translator English - Malay

Teori bukti
190 millions of speakers

Translator English - German

Beweistheorie
180 millions of speakers

Translator English - Japanese

証明論
130 millions of speakers

Translator English - Korean

증거 이론
85 millions of speakers

Translator English - Javanese

Bukti teori
85 millions of speakers
vi

Translator English - Vietnamese

lý thuyết chứng minh
80 millions of speakers

Translator English - Tamil

ஆதாரம் கோட்பாடு
75 millions of speakers

Translator English - Marathi

सबूत थिअरी
75 millions of speakers

Translator English - Turkish

Ispat teorisi
70 millions of speakers

Translator English - Italian

teoria della dimostrazione
65 millions of speakers

Translator English - Polish

teoria dowód
50 millions of speakers

Translator English - Ukrainian

теорія доказів
40 millions of speakers

Translator English - Romanian

teoria dovada
30 millions of speakers
el

Translator English - Greek

θεωρία αποδείξεων
15 millions of speakers
af

Translator English - Afrikaans

bewys teorie
14 millions of speakers
sv

Translator English - Swedish

bevisteori
10 millions of speakers
no

Translator English - Norwegian

bevis teori
5 millions of speakers

Trends of use of proof theory

TRENDS

TENDENCIES OF USE OF THE TERM «PROOF THEORY»

The term «proof theory» is normally little used and occupies the 111.430 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
48
/100
The map shown above gives the frequency of use of the term «proof theory» in the different countries.
Principal search tendencies and common uses of proof theory
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «proof theory».

FREQUENCY OF USE OF THE TERM «PROOF THEORY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «proof theory» during the past 500 years. Its implementation is based on analysing how often the term «proof theory» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about proof theory

EXAMPLES

10 ENGLISH BOOKS RELATING TO «PROOF THEORY»

Discover the use of proof theory in the following bibliographical selection. Books relating to proof theory and brief extracts from same to provide context of its use in English literature.
1
Basic Proof Theory
Introduction to proof theory and its applications in mathematical logic, theoretical computer science and artificial intelligence.
A. S. Troelstra, H. Schwichtenberg, 2000
2
Handbook of Proof Theory
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects.
S.R. Buss, 1998
3
Proof Theory: An Introduction
Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level.
Wolfram Pohlers, 1989
4
Proof Theory: The First Step into Impredicativity
This book verifies with compelling evidence the author s inclination to 'write a book on proof theory which needs no previous knowledge of proof theory'.
Wolfram Pohlers, 2008
5
Applied Proof Theory: Proof Interpretations and their Use in ...
This book presents an applied form of proof theory that has led to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others) in recent years .
Ulrich Kohlenbach, 2008
6
Proof Theory and Automated Deduction
From this point of view, J. Goubault and I. Mackie's book on Proof Theory and Automated Deduction is most welcome. It covers major algorithmic methodolo gies as well as a variety of logical systems.
Jean Goubault-Larrecq, I. Mackie, 2001
7
Proof Theory of Modal Logic
This volume deals with formal, mechanizable reasoning in modal logics, that is, logics of necessity, possibility, belief, time computations etc.
Heinrich Wansing, 1996
8
Proof Theory: A Selection of Papers from the Leeds Proof ...
A collection of expository and research articles derived from the SERC 'Logic for IT' Summer School and Conference on Proof Theory.
Peter Aczel, Harold Simmons, Stanley S. Wainer, 1992
9
Proof Theory for Fuzzy Logics
This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area.
George Metcalfe, Nicola Olivetti, Dov M. Gabbay, 2008
10
Structural Proof Theory
A concise introduction to structural proof theory, a branch of logic studying the general structure of logical and mathematical proofs.
Sara Negri, Jan von Plato, 2008

10 NEWS ITEMS WHICH INCLUDE THE TERM «PROOF THEORY»

Find out what the national and international press are talking about and how the term proof theory is used in the context of the following news items.
1
True Detective Season 2: Will Velcoro and Woodrugh Begin a Gay …
Skeptics will say Velcoro has shown no signs of hidden homosexual tendencies but I propose a fool proof theory for these doubters. Velcoro ... «moviepilot.com, Jul 15»
2
Cutting Your Own Hair? 'Shearly' You Jest
The bad news is, this is not a completely fool proof theory and it is, I learned, much easier to see a bald spot in short hair than in long hair. «TAPinto.net, Jun 15»
3
Grieving family of Ian Marshall appeal for witnesses to come forward …
"We have re-examined the evidence, but there is no full-proof theory. If people come forward with more information we will look at it once again. «Leek Post & Times, Jun 15»
4
Welcome Home, Josh Hamilton
Addiction isn't a full-proof theory, or it's causes, but at the end of the day, when a man's future is on the line, everything possible to ensure the ... «The Sports Quotient, May 15»
5
'Legend Of Korra' Season 3 Finale Episodes: Who Exactly Is Kuvira …
... but we get it's not a bullet proof theory. We'll have to impatiently wait for LoK's season 4 premiere for details. Zaheer may be locked up again, ... «iDigitalTimes.com, Aug 14»
6
Maths From An Extra Terrestrial Civilization - What Could It Be Like …
It's a general issue for any higher-order logic - it needs a proof theory before mathematicians can use it in practice - and when you do that, the ... «Science 2.0, Jun 14»
7
What happened to the Giants?
The Closer As Proof Theory: You can't use a closer's struggles to prove anything about the overall quality of a team. The Giants had three late ... «SB Nation, Jun 14»
8
Grigori Mints, Stanford philosophy professor, dies at 74
At Stanford his research focused on proof theory, the analysis of mathematical reasoning and its applications for fields like computer science. «Palo Alto Online, Jun 14»
9
Stanford philosophy Professor Grigori Mints, a world-renowned …
Mints' pioneering research created new connections between proof theory and computation – leaving an indelible mark on generations of ... «Stanford Report, Jun 14»
10
Westwood splits from coach Foley after alarming slide down world …
Sometimes even bullet-proof theory gets riddled with holes in practice. Fourteen months on, Westwood began his first round in the Northern ... «Daily Mail, Feb 14»

REFERENCE
« EDUCALINGO. Proof theory [online]. Available <https://educalingo.com/en/dic-en/proof-theory>. May 2024 ».
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