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Aug 28, 2016 at 10:06 comment added Emil Jeřábek Predicate logic with one binary relation symbol is undecidable because there exist finitely axiomatized undecidable theories in the language of set theory, which in turn follows because only finitely many axioms of ZFC are needed to interpret a finitely axiomatized essentially undecidable theory such as Robinson's arithmetic. That is, the argument that shows that first-order logic is undecidable in the first place already applies to a language with one binary relation.
Aug 27, 2016 at 6:37 vote accept CommunityBot
Aug 26, 2016 at 16:17 history edited Noah Schweber CC BY-SA 3.0
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Aug 26, 2016 at 16:09 history edited Noah Schweber CC BY-SA 3.0
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Aug 26, 2016 at 16:04 history edited Noah Schweber CC BY-SA 3.0
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Aug 26, 2016 at 15:44 history answered Noah Schweber CC BY-SA 3.0