Examples of using Proof theory in English and their translations into Bulgarian
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Computer
Intuitionism and Proof Theory.
He also made important contributions to proof theory by clarifying the connections between classical logic, intuitionistic logic, and modal logic.
I shall now present the fundamental idea of my proof theory.
In these areas, recursion theory overlaps with proof theory and effective descriptive set theory. .
It would be fair to say that Post's thesis marks the beginning of proof theory.
He also made important contributions to proof theory by clarifying the connections between classical logic, intuitionistic logic, and modal logic.
They are the model theory of truth and the proof theory of truth.
Modern proof theory, and likewise the modern theory of machine computation, hinge on the concept of the recursive function.
Gödel's incompleteness theorem marks not only a milestone in recursion theory and proof theory, but has also led to Löb's theorem in modal logic.
Thus a mathematical theory whose consistency one wishes to prove becomes an object of study in a mathematical science which Hilbert called metamathematics, or proof theory.
Mathematical logic, which divides into recursion theory, model theory, and proof theory, is now closely linked to computer science.
The study of interpretation of formal systems is the branch of mathematical logic known as model theory, while the study of deductive apparatus is the branch known as proof theory.
Modern logic is divided into recursion theory, model theory, and proof theory, and is closely linked to theoretical computer science.
The study of interpretation of formal systems is the branch of mathematical logic that is known as model theory, andthe study of deductive systems is the branch that is known as proof theory.
It represented for him a synthesis of his early interest in logic and proof theory and his later work, during World War II and after, on large scale electronic computers.
In 1934 and1939 two volumes of Grundlagen der Mathematik were published which were intended to lead to a'proof theory', a direct check for the consistency of mathematics.
Metamathematics, introduced by Hilbert in 1922 meaning"proof theory" as a part of his programme to establish the consistency of arithmetic, was transformed by Tarski when he introduced semantic methods leading to his development of model theory with its combination of semantic and syntactic relations.
Through his own contributions(individual and collaborative) and his extraordinary personal influence,Georg Kreisel did perhaps more than anyone else to promote the development of proof theory and the metamathematics of constructivity in the last forty years.
Modern logic is divided into recursion theory, model theory, and proof theory, and is closely linked to theoretical computer science, as well as to category theory. .
The theory of automata provided him a convenient synthesis of his early efforts in logic and proof theory and his more recent efforts(during and after World War II) on large-scale electronic computers.
Every theory needs proof.
But proof of this theory has been scant.
Need further proof of this theory?
Do you have any proof of this theory, detective?
Let it be forensic proof that their theory is wrong.
It doesn't matter whether we have proof of our theory or not.
And as a reward, I will give you proof of my theory.
And this is exactly where the researchers see the proof for their theory.
So, it was the first empirical proof of the theory of relativity.".
Everywhere we went he was looking for proof that this theory works.