Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This article is devoted to the presentation of l rex, an explicit substitution calculus with de Bruijn indexes and a simple notation. By being isomorphic tol ex ‐ a recent formalism with variable names ‐, l rex accomplishes simulation of b -reduction (Sim), preservation of b -strong normalization (PSN) and meta-confluence (MC), among other desirable properties. Our calculus is based on a novel presentation of ldB, using a swap notion that was originally devised by de Bruijn. Besides l rex, two other indexed calculi isomorphic to l x and l xgc are presented, demonstrating the potential of our technique when applied to the design of indexed versions of known named calculi.
['Ariel Mendelzon', 'Alejandro Ríos', 'Beta Ziliani']
I am writing a research paper on a idea Swapping: a natural bridge between named and indexed explicit substitution calculi
[{"from": "human", "value": "I am writing a research paper on a idea Swapping: a natural bridge between named and indexed explicit substitution calculi"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This article is devoted to the presentation of l rex, an explicit substitution calculus with de Bruijn indexes and a simple notation. By being isomorphic tol ex \u2010 a recent formalism with variable names \u2010, l rex accomplishes simulation of b -reduction (Sim), preservation of b -strong normalization (PSN) and meta-confluence (MC), among other desirable properties. Our calculus is based on a novel presentation of ldB, using a swap notion that was originally devised by de Bruijn. Besides l rex, two other indexed calculi isomorphic to l x and l xgc are presented, demonstrating the potential of our technique when applied to the design of indexed versions of known named calculi."}]