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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
3
votes
Automatically generating combinatorial conjectures
Looking into the SAT-solver idea, I noticed many modern solvers have systems for "syntax-guided synthesis:" given a grammar of acceptable primitives, search for a function implemented using those prim …
4
votes
4
answers
464
views
Automatically generating combinatorial conjectures
It very often happens that one reduces a problem to a bunch of combinatorial data, and need to sift through this data for patterns, which form conjectures on which to do "real" mathematics. Problems o …