computability theory การใช้

• While there Kenneth researched in group theory and computability theory.
• Research into higher-order computability theory demonstrated its connections to set theory.
• Closely related fields in theoretical computer science are analysis of algorithms and computability theory.
• In computability theory in computer science, it is common to consider formal languages.
• His own research was in computability theory.
• Many mathematicians and computational theorists who study recursion theory will refer to it as computability theory.
• He is a past president of the ACM Special Interest Group on Algorithms and Computability Theory.
• The Busy Beaver Game has implications in computability theory, the halting problem, and complexity theory.
• The logic involved is closer to proof theory than to that of computability theory and computable functions.
• He is best known for his work in the field that eventually became known as computability theory.
• There is mathematical proof of this statement as well : see Computability theory ( computer science ).
• The field is divided into three major branches : automata theory, computability theory and computational complexity theory.
• Fundamental results of computability theory show that there are functions that can be precisely defined but are not computable.
• Optimization problems themselves are still of interest in computability theory, as well as in fields such as operations research.
• Computability theory is the part of the theory of computation that deals with what can be computed, in principle.
• Stephen Cole Kleene ( 1943 ) presented a proof of G鰀el's incompleteness theorem using basic results of computability theory.
• The same definition of recursive function can be given, in computability theory, by applying Kleene's recursion theorem.
• In computability theory, an "'oracle machine "'is an abstract machine used to study decision problems.
• Computability theory had its roots in the work of Turing, Church, Kleene, and Post in the 1930s and 40s.
• In addition, PLT makes use of many other branches of mathematics, including computability theory, category theory, and set theory.