Training Deterministic Parsers with Non-Deterministic Oracles

Training Deterministic Parsers with Non-Deterministic Oracles

Greedy transition-based parsers are very fast but tend to suffer from error propagation. This problem is aggravated by the fact that they are normally trained using oracles that are deterministic and incomplete in the sense that they assume a unique canonical path through the transition system and are only valid as long as the parser does not stray from this path. In this paper, we give a gener...

Deterministic factoring with oracles

We revisit the problem of integer factorization with number-theoretic oracles, including a well-known problem: can we factor an integer $N$ unconditionally, in deterministic polynomial time, given the value of the Euler totient $(\varphi(N)$? We show that this can be done, under certain size conditions on the prime factors of $N$. The key technique is lattice basis reduction using the LLL algor...

Deterministic, Error-Correcting Combinator Parsers

We show how error-correcting, deterministic, combinator parsers can be constructed for grammars which have the LL(1) property. The normal disadvantages of conventional combinator parsers, such as their lack of speed and their poor error reporting, are remedied. Parsers constructed with these combinators are implicitly specialised for the grammar they describe. Because of this property the combi...

Deterministic vs Non-deterministic Graph Property Testing

A graph property P is said to be testable if one can check whether a graph is close or far from satisfying P using few random local inspections. Property P is said to be non-deterministically testable if one can supply a “certificate” to the fact that a graph satisfies P so that once the certificate is given its correctness can be tested. The notion of non-deterministic testing of graph propert...

Deterministic and Non-Deterministic Stable Models