Matches in SemOpenAlex for { <https://semopenalex.org/work/W1563670666> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W1563670666 abstract "Given a string $sigma$ over alphabet $Sigma$ and a grammar $G$ defined over the same alphabet, how many minimum number of repairs: insertions, deletions and substitutions are required to map $sigma$ into a valid member of $G$ ? We investigate this basic question in this paper for $Dyck(s)$. $Dyck(s)$ is a fundamental context free grammar representing the language of well-balanced parentheses with s different types of parentheses and has played a pivotal role in the development of theory of context free languages. Computing edit distance to $Dyck(s)$ significantly generalizes string edit distance problem and has numerous applications ranging from repairing semi-structured documents such as XML to memory checking, automated compiler optimization, natural language processing etc. In this paper we give the first near-linear time algorithm for edit distance computation to $Dyck(s)$ that achieves a nontrivial approximation factor of $O(frac{1}{epsilon}log{OPT}(log{n})^{frac{1}{epsilon}})$ in $O(n^{1+epsilon}log{n})$ time. In fact, given there exists an algorithm for computing string edit distance on input of size $n$ in $alpha(n)$ time with $beta(n)$-approximation factor, we can devise an algorithm for edit distance problem to $Dyck(s)$ running in $tilde{O}(n^{1+epsilon}+alpha(n))$ and achieving an approximation factor of $O(frac{1}{epsilon}beta(n)log{OPT})$. We show that the framework for efficiently approximating edit distance to $Dyck(s)$ can be applied to many other languages. We illustrate this by considering various memory checking languages which comprise of valid transcripts of stacks, queues, priority queues, double-ended queues etc. Therefore, any language that can be recognized by these data structures, can also be repaired efficiently by our algorithm." @default.
- W1563670666 created "2016-06-24" @default.
- W1563670666 creator A5073278712 @default.
- W1563670666 date "2013-11-11" @default.
- W1563670666 modified "2023-09-27" @default.
- W1563670666 title "Efficiently Computing Edit Distance to Dyck Language." @default.
- W1563670666 cites W1535681052 @default.
- W1563670666 cites W1563342424 @default.
- W1563670666 cites W1974708980 @default.
- W1563670666 cites W1991218651 @default.
- W1563670666 cites W1999341600 @default.
- W1563670666 cites W2009056959 @default.
- W1563670666 cites W2014289648 @default.
- W1563670666 cites W2023867108 @default.
- W1563670666 cites W2025063099 @default.
- W1563670666 cites W2036111443 @default.
- W1563670666 cites W2036501955 @default.
- W1563670666 cites W2043795882 @default.
- W1563670666 cites W2049216468 @default.
- W1563670666 cites W2056370281 @default.
- W1563670666 cites W2072058615 @default.
- W1563670666 cites W2091929432 @default.
- W1563670666 cites W2126353995 @default.
- W1563670666 cites W2130235112 @default.
- W1563670666 cites W2171360836 @default.
- W1563670666 hasPublicationYear "2013" @default.
- W1563670666 type Work @default.
- W1563670666 sameAs 1563670666 @default.
- W1563670666 citedByCount "0" @default.
- W1563670666 crossrefType "posted-content" @default.
- W1563670666 hasAuthorship W1563670666A5073278712 @default.
- W1563670666 hasConcept C112876837 @default.
- W1563670666 hasConcept C11413529 @default.
- W1563670666 hasConcept C114614502 @default.
- W1563670666 hasConcept C118615104 @default.
- W1563670666 hasConcept C121332964 @default.
- W1563670666 hasConcept C138885662 @default.
- W1563670666 hasConcept C151730666 @default.
- W1563670666 hasConcept C157486923 @default.
- W1563670666 hasConcept C169590947 @default.
- W1563670666 hasConcept C199360897 @default.
- W1563670666 hasConcept C26022165 @default.
- W1563670666 hasConcept C2778049214 @default.
- W1563670666 hasConcept C2779343474 @default.
- W1563670666 hasConcept C33923547 @default.
- W1563670666 hasConcept C37914503 @default.
- W1563670666 hasConcept C41008148 @default.
- W1563670666 hasConcept C41895202 @default.
- W1563670666 hasConcept C44359876 @default.
- W1563670666 hasConcept C62520636 @default.
- W1563670666 hasConcept C86803240 @default.
- W1563670666 hasConceptScore W1563670666C112876837 @default.
- W1563670666 hasConceptScore W1563670666C11413529 @default.
- W1563670666 hasConceptScore W1563670666C114614502 @default.
- W1563670666 hasConceptScore W1563670666C118615104 @default.
- W1563670666 hasConceptScore W1563670666C121332964 @default.
- W1563670666 hasConceptScore W1563670666C138885662 @default.
- W1563670666 hasConceptScore W1563670666C151730666 @default.
- W1563670666 hasConceptScore W1563670666C157486923 @default.
- W1563670666 hasConceptScore W1563670666C169590947 @default.
- W1563670666 hasConceptScore W1563670666C199360897 @default.
- W1563670666 hasConceptScore W1563670666C26022165 @default.
- W1563670666 hasConceptScore W1563670666C2778049214 @default.
- W1563670666 hasConceptScore W1563670666C2779343474 @default.
- W1563670666 hasConceptScore W1563670666C33923547 @default.
- W1563670666 hasConceptScore W1563670666C37914503 @default.
- W1563670666 hasConceptScore W1563670666C41008148 @default.
- W1563670666 hasConceptScore W1563670666C41895202 @default.
- W1563670666 hasConceptScore W1563670666C44359876 @default.
- W1563670666 hasConceptScore W1563670666C62520636 @default.
- W1563670666 hasConceptScore W1563670666C86803240 @default.
- W1563670666 hasLocation W15636706661 @default.
- W1563670666 hasOpenAccess W1563670666 @default.
- W1563670666 hasPrimaryLocation W15636706661 @default.
- W1563670666 hasRelatedWork W2044001676 @default.
- W1563670666 hasRelatedWork W2055693471 @default.
- W1563670666 hasRelatedWork W2076238476 @default.
- W1563670666 hasRelatedWork W2084313588 @default.
- W1563670666 hasRelatedWork W2084812114 @default.
- W1563670666 hasRelatedWork W2139886028 @default.
- W1563670666 hasRelatedWork W2366029216 @default.
- W1563670666 hasRelatedWork W2399644331 @default.
- W1563670666 hasRelatedWork W2427677460 @default.
- W1563670666 hasRelatedWork W253774077 @default.
- W1563670666 hasRelatedWork W2615862481 @default.
- W1563670666 hasRelatedWork W2950445017 @default.
- W1563670666 hasRelatedWork W2952068329 @default.
- W1563670666 hasRelatedWork W2953070628 @default.
- W1563670666 hasRelatedWork W2964197518 @default.
- W1563670666 hasRelatedWork W2998241823 @default.
- W1563670666 hasRelatedWork W3037110654 @default.
- W1563670666 hasRelatedWork W3105563233 @default.
- W1563670666 hasRelatedWork W3159529122 @default.
- W1563670666 hasRelatedWork W66732553 @default.
- W1563670666 isParatext "false" @default.
- W1563670666 isRetracted "false" @default.
- W1563670666 magId "1563670666" @default.
- W1563670666 workType "article" @default.