Isomorphism
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Two formulas <math>A</math> and <math>B</math> are isomorphic, when there are two proofs <math>\pi</math> of <math>A \vdash B</math> and <math>\rho</math> of <math>B \vdash A</math> such that eliminating the cut on <math>A</math> in |
Two formulas <math>A</math> and <math>B</math> are isomorphic, when there are two proofs <math>\pi</math> of <math>A \vdash B</math> and <math>\rho</math> of <math>B \vdash A</math> such that eliminating the cut on <math>A</math> in |
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Revision as of 14:38, 16 October 2009
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Two formulas A and B are isomorphic, when there are two proofs π of and ρ of such that eliminating the cut on A in
leads to an η-expansion of
,
and eliminating the cut on B in
leads to an η-expansion of
.
Some well known isomorphisms of linear logic are the following ones:
- …