~/talk

An Extension of the Framework Types-To-Sets for Isabelle/HOL

Talkat CPP 2022 · 2022-01-17..01-18
links:none on file
slides:none on file

An Isabelle/ HOL extension provides an interactive Isar framework that applies an extended relativization algorithm (ERA) to automatically convert type-based theorems into set-based ones, generates human-readable set statements and proofs via code generation, and supplies automation for required setups through overload definition (ud) and conditional transfer rule (ctr). The tool reproduces prior results (200+ linear algebra theorems) and relieves duplication, successfully converting ~800 theorems across topology, algebra and order theory while still facing limitations from Isabelle’s transfer framework.

AI-written summary · about

  1. 0:00Introduction
  2. 1:17Why TypesToSets
  3. 5:46Automation Convenience
  4. 8:23Auxiliary Software Frameworks
  5. 12:37Application Examples
  6. 13:30Relativism Example
  7. 14:46Questions
~/search
type to search 6,249 conferences, 138,987 speakers and 185,172 talks
~/help
cmdctrl k
search every conference, speaker and series
/
focus the filter search
h
home
c
conferences
s
speakers
e
series
t
light / dark — the status bar button does the same
?
this help
esc
close this, then clear every filter — or just the search, while you are typing in it

Ignored while you are typing. Pages without a filter rail have no search to focus.