Paweł Wieczorek avatar Paweł Wieczorek committed 431a7a3

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doc/final/index.tex

 
 \subsection{Comparison within the lazy splitting group - Graph 4.}
 
-TODO %% WIECZYK
+The full focusing prover always beats its less deterministic version, the weak focusing prover, as we expected,
+there is nothing to deep analysis.
 
+More interesting are differences to naive prover, which we suppose to be much worst than other provers.
+As mentioned in previous sections the tests Tensor with zeros and With with zeros are hard for our
+algorithms with lazy splitting due to non-deterministic choices.
 
 
+However, this disadvantage of basic lazy splitting does not explain why the Naive prover is almost twice
+better than the FullLS prover at the test Tensor commutativity. It shows defect of our implementation.
+The FullLS (and the WeakLS) prover tries to make possible inversions after each recursive call, but
+context is fully decomposed into atoms at beginning. It means that after each step whole context would be
+analysed for possible inversions. We can solve this problem by splitting input resources into two sets,
+one for already inverted hypotheses and second for not.
 
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