refactor: sdk v2 (#1875)

Co-authored-by: Tamir Hemo <tamir@succinct.xyz>
Co-authored-by: Tej Qu Nair <tej.q.nair@gmail.com>
Co-authored-by: Kevin Jue <kjue235@gmail.com>
Co-authored-by: John Guibas <jtguibas@gmail.com>
Co-authored-by: erabinov <erabinovich92@gmail.com>
Co-authored-by: Eugene Rabinovich <eugene@succinct.xyz>
Co-authored-by: Yuwen Zhang <yuwen01@gmail.com>
Co-authored-by: N <n@push0.dev>

.gitignore

@@ -40,11 +40,12 @@ crates/prover/semaphore-gnark-11
 crates/prover/trusted-setup
 crates/prover/vk
 
-<<<<<<< Updated upstream
 # Example legacy elf
 examples/elf 
-=======
+
 # Example fibonacci groth16 / plonk proofs
 examples/fibonacci/fibonacci-groth16.bin
 examples/fibonacci/fibonacci-plonk.bin
->>>>>>> Stashed changes
+
+# C++
+.vscode/c_cpp_properties.json