Build your own clarithmetic I: Setup and completeness
Clarithmetics are number theories based on computability logic (see http://www.csc.villanova.edu/~japaridz/CL/ ). Formulas of these theories represent interactive computational problems, and their "truth" is understood as existence of an algorithmic solution. Various complexity constraints...
Main Author: | Giorgi Japaridze |
---|---|
Format: | Article |
Language: | English |
Published: |
Logical Methods in Computer Science e.V.
2017-04-01
|
Series: | Logical Methods in Computer Science |
Subjects: | |
Online Access: | https://lmcs.episciences.org/2020/pdf |
Similar Items
-
Build your own clarithmetic II: Soundness
by: Giorgi Japaridze
Published: (2017-04-01) -
Unification and Logarithmic Space
by: Clément Aubert, et al.
Published: (2018-07-01) -
Unprovability of circuit upper bounds in Cook's theory PV
by: Jan Krajicek, et al.
Published: (2017-02-01) -
Modal Functional (Dialectica) Interpretation
by: Dan Hernest, et al.
Published: (2021-10-01) -
Inductive and Coinductive Topological Generation with Church's thesis and the Axiom of Choice
by: Maria Emilia Maietti, et al.
Published: (2022-11-01)