Proof net

From Wikipedia, the free encyclopedia

In proof theory, proof nets are a geometrical method of representing proofs such that eliminates two forms of bureaucracy that differentiates proofs: (A) irrelevant syntactical features of regular proof calculi such as the natural deduction calculus and the sequent calculus, and (B) the order of rules applied in a derivation. By this means the formal properties of proof identity correspond more closely to the intuitively desirable properties. Proof nets were introduced by Jean-Yves Girard.

[edit] See also

• Linear logic
• Ludics
• Geometry of interaction
• Coherent space
• Deep inference

[edit] References

• Proofs and Types. Girard J-Y, Lafont Y, and Taylor P. Cambridge Press, 1989. (An electronic version is online at [1].)