39 research outputs found
Formalized proof, computation, and the construction problem in algebraic geometry
An informal discussion of how the construction problem in algebraic geometry
motivates the search for formal proof methods. Also includes a brief discussion
of my own progress up to now, which concerns the formalization of category
theory within a ZFC-like environment
An effective characterization of the alternation hierarchy in two-variable logic
We characterize the languages in the individual levels of the quantifier
alternation hierarchy of first-order logic with two variables by identities.
This implies decidability of the individual levels. More generally we show that
the two-sided semidirect product of a decidable variety with the variety J is
decidable