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commit 6aa32b524ee93a7ff16d144bd64a4d637bb3f311
parent bb4c47dac2cbc9dc606e4f81df2ee4b73b61e50c
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Sun,  9 Mar 2025 20:38:43 +0100

commit with codex

Diffstat:
approximation_class | 4++--
locally_threshold_testable_language | 16++++++++++++++++
2 files changed, 18 insertions(+), 2 deletions(-)

diff --git a/approximation_class b/approximation_class @@ -1,9 +1,9 @@ # Approximation classes - [FPRAS]: for all epsilon you have an [algorithm_randomized] running in polynomial time in 1/e and in the input, with a probability delta of failure - - variant QPRAS [qpras] with "quasi-polynomial time" [quasipolynomial] + - variant [QPRAS] with [quasi-polynomial] time - [PRAS]: same but not polynomial in 1/e -- without R, a deterministic algorithm (PRAS vs [PTAS], FPRAS vs [FPTAS]) +- without R, a deterministic algorithm ([PRAS] vs [PTAS], [FPRAS] vs [FPTAS]) - [APX]: there is an [approximation_algorithm] for a certain fixed epsilon Up: [complexity_class] of [approximation] diff --git a/locally_threshold_testable_language b/locally_threshold_testable_language @@ -0,0 +1,16 @@ +# Locally_threshold_testable_language + +Discussed in [bojanczyk2007new] + +A [formal_language] is *locally threshold testable* if it is a [Boolean_combination] of [formal_languages] of the form: +- words having a given [word] w as a [prefix] +- words having a given [word] w as a [suffix] +- words having a given [word] w as a [factor] at least n times + +Generalizes [locally_testable_languages] + +Up: [locally_testable_language] + +See also: [local_language] + +Aliases: LTT language, LTT