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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > LOGIC AND COMPLEXITY:
Reports tagged with logic and complexity:
TR09-147 | 30th December 2009
Stephan Kreutzer

Algorithmic Meta-Theorems

Algorithmic meta-theorems are general algorithmic results applying to a whole range of problems, rather than just to a single problem alone. They often have a logical and a
structural component, that is they are results of the form:
"every computational problem that can be formalised in a given logic L ... more >>>


TR23-008 | 2nd February 2023
Ond?ej Ježil

Limits of structures and Total NP Search Problems

For a class of finite graphs, we define a limit object relative to some computationally restricted class of functions. The properties of the limit object then reflect how a computationally restricted viewer "sees" a generic instance from the class. The construction uses Krají?ek's forcing with random variables [7]. We prove ... more >>>


TR25-041 | 6th April 2025
Igor Carboni Oliveira

Meta-Mathematics of Computational Complexity Theory

We survey results on the formalization and independence of mathematical statements related to major open problems in computational complexity theory. Our primary focus is on recent findings concerning the (un)provability of complexity bounds within theories of bounded arithmetic. This includes the techniques employed and related open problems, such as the ... more >>>




ISSN 1433-8092 | Imprint