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Symmetry-Preserving Finite Synthesis and Amalgamation

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slides:none on file

Claims a concrete construction of finite groupoids avoiding coset cycles up to any fixed n and uses them to produce symmetry-preserving finite realizations of amalgamation specifications by addressing two obstruction types (parallel identifications and relation-twisting cycles). Produces finite solutions that extend given partial automorphisms (an EPA extension with controllable n-acyclic local overlap), yields finite hypergraph coverings for guarded-logics applications, and notes construction sizes are enormous but effective.

AI-written summary · about

  1. 0:00Start
  2. 9:29(1) reduced products with groupoids
  3. 12:16obstructions: wrong kind of cycles (2)
  4. 20:36applications (1): hypergraph coverings
  5. 28:20some related references
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