proof theory การใช้

• Gentzen's consistency proof initiated the program of ordinal analysis in proof theory.
• Gentzen's theorem spurred the development of ordinal analysis in proof theory.
• Since formal proofs in proof theory are purely rules of inference.
• Setoids are studied especially in proof theory and in type-theoretic foundations of mathematics.
• Linear distributions are fundamental in the proof theory of linear logic.
• In these areas, recursion theory overlaps with proof theory and effective descriptive set theory.
• "' Proof theory "'is the study of formal proofs in various logical deduction systems.
• In proof theory, proofs and theorems are also mathematical objects.
• Modern proof theory treats proofs as inductively defined data structures.
• An application of proof theory is to show that certain undecidable statements are not provable.
• His expertise was in proof theory  the analysis of the structure of mathematical reasoning.
• This idea led to the study of proof theory.
• String theory is foundational for formal linguistics, computer science, logic, and metamathematics especially proof theory.
• In proof theory, "'ludics "'is an analysis of the principles governing inference rules of mathematical logic.
• Nuel Belnap proposed display logic in an attempt to characterise the essence of structural proof theory.
• Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory.
• Furthermore, structural proof theories that are not analogous to Gentzen's theories have other notions of analytic proof.
• Z
  leszyD
  ski's main work was on continued fractions, least squares and axiomatic proof theory based on mathematical logic.
• This corollary is sometimes expressed by saying that second-order logic does not admit a complete proof theory.
• They occur naturally in proof theory, and were first noticed there ( before receiving a name ).