Dag Representation And Optimization of Rewriting
Dag Representation And Optimization of Rewriting
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S remains a redex after rewriting of /. n Theorem 1 In dag rewriting, for a lef. -linear and variable-more TBS. Given any term, any derivation for that term is oplimal. Proof: Suppose D and D' are two derivations for term t and \D'\ < \D\. Suppose D[l. I] = D'[l. I] and D[i + l] # D'[, + l]. D[, + I] rewrites.^ and D'[i + l] rewrites . S'. By lemma 1. . *; remains a redex until it is rewritten in the subsequent derivation of D'. Suppose i! is rewritten in D' by rule r at step D'[j]{i < j). All function syml^ols 12 (and constants, if there are) in 5 matched with function symbols in the left side of r are called the critical part of, s. Note that those subterms in . S matched with variables of r are not in the critical ])arr. Suppose j = i + A" [i- j defined above). Let /, +, be the term after step D'[i + p] in D' {0 < p < k — 1). Root-rewrite . <; in t, by rule r. T, Ijecoming /q. Consider applying D'[i + l]. D'[i + 2] D'[i + k - I] to t'^. Let t[, be the term after rewriting step D'[i +p](0 < p < k - 1).
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To quickly assess the difficulty of the text, read a short excerpt:
S remains a redex after rewriting of /. n Theorem 1 In dag rewriting, for a lef. -linear and variable-more TBS. Given any term, any derivation for that term is oplimal. Proof: Suppose D and D' are two derivations for term t and \D'\ < \D\. Suppose D[l. I] = D'[l. I] and D[i + l] # D'[, + l]. D[, + I] rewrites.^ and D'[i + l] rewrites . S'. By lemma 1. . *; remains a redex until it is rewritten in the subsequent derivation of D'. Suppose i! is rewritten in D' by rule r at step D'[j]{i < j). All function syml^ols 12 (and constants, if there are) in 5 matched with function symbols in the left side of r are called the critical part of, s. Note that those subterms in . S matched with variables of r are not in the critical ])arr. Suppose j = i + A" [i- j defined above). Let /, +, be the term after step D'[i + p] in D' {0 < p < k — 1). Root-rewrite . <; in t, by rule r. T, Ijecoming /q. Consider applying D'[i + l]. D'[i + 2] D'[i + k - I] to t'^. Let t[, be the term after rewriting step D'[i +p](0 < p < k - 1).
What to read after Dag Representation And Optimization of Rewriting?
You can find similar books in the "Read Also" column, or choose other free books by Ke Li to read online
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