skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 2

Search for: All records

Creators/Authors contains: "Hieronymi, Philipp"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, STOC 2022: Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing)
    Full Text Available 
  2. ; (, Selecta Mathematica)
    Full Text Available 
  3. ; ; (, Mathematical logic quarterly)
    Accepted Manuscript Full Text Available
  4. ; ; ; ; ; (, 30th EACSL Annual Conference on Computer Science Logic (CSL 2022))
    Accepted Manuscript Full Text Available
  5. ; ; (, Mathematical Logic Quarterly)
    Full Text Available 
  6. ; ; (, Proceedings of the American Mathematical Society)
    null (Ed.)
    Full Text Available 
  7. ; ; (, Logical methods in computer science)
    Full Text Available 
  8. ; ; (, Mathematical Logic Quarterly)
    null (Ed.)
    Full Text Available 
  9. ; ; ; (, Fundamenta Mathematicae)
    null (Ed.)
    Full Text Available 
  10. ; ; ; ; ; ; ; (, Logical methods in computer science)
    Following Chaudhuri, Sankaranarayanan, and Vardi, we say that a function f:[0,1]→[0,1] is r-regular if there is a Büchi automaton that accepts precisely the set of base r∈N representations of elements of the graph of f. We show that a continuous r-regular function f is locally affine away from a nowhere dense, Lebesgue null, subset of [0,1]. As a corollary we establish that every differentiable r-regular function is affine. It follows that checking whether an r-regular function is differentiable is in PSPACE. Our proofs rely crucially on connections between automata theory and metric geometry developed by Charlier, Leroy, and Rigo. 
    more » « less
    Full Text Available