Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Verification of large programs is impossible without proof techniques that allow local reasoning and information hiding. ,  take the approach of modeling the heap as a collection of partial functions with disjoint domains.  call each such partial function a  linear map . Programmers may  select  objects from linear maps,  update  linear maps or  transfer  addresses and their contents from one linear map to another. Programmers may also declare new linear map variables and pass linear maps as arguments to procedures. The program logic prevents any of these operations from duplicating locations and thereby breaking the key heap representation invariant: the domains of all linear maps remain disjoint. Linear maps facilitate modular reasoning because programs that use them are also able to use simple, classical frame rules to preserve information about heap state across procedure calls.  illustrate our approach through examples, prove that our verification rules are sound, and show that operations on linear maps may be erased and replaced by equivalent operations on a single, global heap.
['Shuvendu K. Lahiri', 'Shaz Qadeer', 'David Walker']
I am writing a research paper on a idea Linear maps
[{"from": "human", "value": "I am writing a research paper on a idea Linear maps"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Verification of large programs is impossible without proof techniques that allow local reasoning and information hiding. ,  take the approach of modeling the heap as a collection of partial functions with disjoint domains.  call each such partial function a  linear map . Programmers may  select  objects from linear maps,  update  linear maps or  transfer  addresses and their contents from one linear map to another. Programmers may also declare new linear map variables and pass linear maps as arguments to procedures. The program logic prevents any of these operations from duplicating locations and thereby breaking the key heap representation invariant: the domains of all linear maps remain disjoint. Linear maps facilitate modular reasoning because programs that use them are also able to use simple, classical frame rules to preserve information about heap state across procedure calls.  illustrate our approach through examples, prove that our verification rules are sound, and show that operations on linear maps may be erased and replaced by equivalent operations on a single, global heap."}]