Reminder that syntactic transformations are Turing complete: https://wiki.c2.com/?RewriteRules
Reminder that syntactic transformations are Turing complete: https://wiki.c2.com/?RewriteRules
Same with turing machines.
And while you're at it: what is happening inside the mind when it reasons?
Case closed, terminate all thought processes.
Unless you believe in magic, then yes, it does.
A system that is Turing Complete absolutely can be programmed to reason, aka it has the ability to reason.
you can write C program which can reason, but C compiler can't reason. So, program part is missing between "Turing Completeness" and reasoning, and it is very non-trivial part.
Furthermore, the C compiler can do a lot more than you think. The P99/metalang99 macro toolkits give the preprocessor enough state space to encode and run an LLM, in principle.
> What if a C compiler's semantic analysis pass is a limited form of reasoning?
I guess you can say that C compiler can reason in specific narrow domain, because it is also a program and someone programmed it to reason in that domain.
I think C compiler was wrong analogy, because it is also a program. More correct could refer on some machine which executes ASM/C/bytecode etc. That machine(e.g. CPU or VM) is turing complete, but one need to write program to do reasoning. C compiler doing some semantic reasoning over say datatypes is example of such program.