tõestustsüklid
Tõestustsüklid, also known as proof cycles or justification cycles, are a concept in the field of formal verification and logic, particularly within the context of proof assistants and type theory. They refer to a situation where a proof or justification for a statement depends on the statement itself being true. This creates a circular dependency, where the truth of the statement is assumed in the process of proving it.
In formal verification, tõestustsüklid can arise when defining recursive functions or data types. For example, when
To resolve tõestustsüklid, various techniques can be employed. One common approach is to use well-founded relations,
Another approach is to use dependent types, which allow the type of an expression to depend on
Tõestustsüklid are an important concept in formal verification, as they highlight the challenges and complexities involved