Carbone Group Cancellation and Resolution

نویسندگان

  • Alessandra Carbone
  • Alexander Leitsch
  • A. Carbone
چکیده

We establish a connection between the geometric methods developed in the combinatorial theory of small cancellation and the propositional resolution calculus. We define a precise correspondence between resolution proofs in logic and diagrams in small cancellation theory, and as a consequence, we derive that a resolution proof is a 2dimensional process. The isoperimetric function defined on diagrams corresponds to the length of resolution proofs.

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تاریخ انتشار 2006