Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses the formalization in higher-order logic of fixed-point arithmetic based on the SPW (Signal Processing WorkSystem) tool.  encoded the fixed-point number system and specified the different rounding modes in fixed-point arithmetic such as the directed and even rounding modes.  also considered the formalization of exceptions detection and their handling like overflow and invalid operation. An error analysis is then performed to check the correctness of the rounding and to verify the basic arithmetic operations, addition, subtraction, multiplication and division against their mathematical counterparts. Finally,  shod by an example how this formalization can be used to enable the verification of the transition from the floating-point to fixed-point algorithmic levels in the design flow of signal processors.
['Behzad Akbarpour', 'Abdelkader Dekdouk', 'Sofiène Tahar']
I am writing a research paper on a idea Formalization of cadence SPW fixed-point arithmetic in HOL
[{"from": "human", "value": "I am writing a research paper on a idea Formalization of cadence SPW fixed-point arithmetic in HOL"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses the formalization in higher-order logic of fixed-point arithmetic based on the SPW (Signal Processing WorkSystem) tool.  encoded the fixed-point number system and specified the different rounding modes in fixed-point arithmetic such as the directed and even rounding modes.  also considered the formalization of exceptions detection and their handling like overflow and invalid operation. An error analysis is then performed to check the correctness of the rounding and to verify the basic arithmetic operations, addition, subtraction, multiplication and division against their mathematical counterparts. Finally,  shod by an example how this formalization can be used to enable the verification of the transition from the floating-point to fixed-point algorithmic levels in the design flow of signal processors."}]