COOK, J., delivered the opinion of the court, in which GILMAN, J., joined. MARTIN, J. (pp. 392-96), delivered a separate dissenting opinion.
AMENDED OPINION
COOK, Circuit Judge.Petitioner Robert Carl Foley was convicted of murder in Kentucky and sentenced to death. After a lengthy appellate process in the Kentucky courts, Foley filed a habeas petition raising thirty-six separate grounds for relief. The district court reviewed and denied each one, but granted a Certificate of Appealability (COA) as to four of Foley’s claims. Upon Foley’s request, we expanded the COA to include a *381fifth claim. For the reasons set forth below, we affirm the district court’s judgment.
I. Background
Robert Carl Foley shot and killed the brothers Rodney and Lynn Vaughn in Foley’s home in Laurel County, Kentucky, on August 17, 1991. A number of people, including the Vaughn brothers, Phoebe Watts, Ronnie and Bill Dugger, Rocky and Lisa Arthur, Marge Foley (petitioner’s wife), Louise Bridges (Foley’s aunt), and at least six children, were gathered at the Foley home when Foley returned from a car auction with his friend Danny Joe Bryant. Although the other men present had stored their guns in a kitchen cabinet upon arrival, Foley kept a .38 Colt snub-nose revolver stored under his belt and concealed by his shirt.
The group sat at the kitchen table drinking beer, and tempers soon flared between Foley and Rodney Vaughn, who was intoxicated and belligerent. Foley admitted he instigated a fight by punching Rodney. After a brief scuffle, Danny Joe Bryant separated the men, and they returned to the table to continue drinking. The situation escalated, however, when Rodney pointed at Foley and warned Foley not to sucker-punch him again. Foley responded violently, knocking Rodney down with his fist several times. Foley then drew his revolver and shot Rodney six times at close range, in the chest, left arm, and back.
The house emptied during the melee, leaving only Foley, the Vaughn brothers, and Ronnie Dugger in the house. As the only living witness (other than Foley) to what happened next, Ronnie Dugger explained that Foley retrieved another gun from the kitchen cabinet, returned to the living room where Lynn Vaughn remained next to his dying brother, and shot Lynn in the back of the head. He then kicked Rodney Vaughn’s corpse, saying “you son of a bitch, you caused me to have to kill my partner.” Later, Foley explained that he hated to kill Lynn, “but blood is thicker than water.”
Foley then organized Ronnie Dugger, Bill Dugger, and Danny Joe Bryant to assist him in disposing the bodies and covering up the crimes1. They dumped the Vaughn brothers’ bodies in Sinking Creek in Laurel County and attempted to cover up the incident and cast blame on other people. Authorities discovered the bodies two days later and indicted Foley on two counts of capital murder and other related offenses. Foley was later charged with four more murders after police discovered four corpses in a septic tank in Laurel County.
Foley’s trial for the Vaughn murders was scheduled for August 11, 1993. On the eve of trial, August 10, 1993, Foley’s attorney moved for a change of venue because of pretrial publicity, which the trial court denied after a hearing. The jury found Foley guilty of two counts of murder and, following the jury’s recommendation, the trial court sentenced Foley to death. The Kentucky Supreme Court affirmed the convictions and sentences in November 1996, and the United States Supreme Court denied certiorari in 1997. Foley v. Commonwealth, 942 S.W.2d 876 (Ky.1996), cert. denied, 522 U.S. 893, 118 S.Ct. 234, 139 L.Ed.2d 165 (1997). Foley filed a post-conviction petition pursuant to Ky. R.Crim. P. 11.42, but the trial court denied relief. The Kentucky Supreme Court affirmed that decision in March 2000. Foley v. Commonwealth., 17 S.W.3d 878 (Ky.), cert. denied, 531 U.S. 1055, 121 S.Ct. 663, 148 L.Ed.2d 565 (2000). Foley then moved for a new trial, but the trial court denied the motion, and the Kentucky Supreme Court affirmed. Foley v. Common*382wealth, No. 2002-SC-0222-TG, 2003 WL 21993756, at *1 (Ky. Aug. 21, 2003).
While the state proceedings pended, Foley moved for a stay of execution in the district court and later filed his petition for a writ of habeas corpus. The district court granted Foley leave to amend his petition to include the claim that formed the basis of his state-court motion for a new trial. The magistrate judge reviewed Foley’s petition, the Warden’s response, and subsequent pleadings. The magistrate judge recommended that the petition be denied and that a COA be granted with respect to the merits of three claims and the timeliness of the claim Foley added by amendment. Foley filed objections, and the Warden gave notice that he was not going to respond to Foley’s objections. The district court adopted the magistrate judge’s report in part and rejected it in part. The district court denied the petition and granted Foley a COA with respect to four claims, including both the timeliness and the merits of the claim added by amendment. Foley applied to this court for an expansion of the COA, which we granted by adding a fifth claim.
II. Standard of Review
We review de novo a district court’s legal conclusions and mixed questions of law and fact, and we review its factual findings for clear error. Armstrong v. Morgan, 372 F.3d 778, 781 (6th Cir.2004); Lucas v. O’Dea, 179 F.3d 412, 416 (6th Cir.1999). Under the Antiterrorism and Effective Death Penalty Act of 1996 (AEDPA), a district court shall not grant a habeas petition with respect to any claim that was adjudicated on the merits in the state courts unless the adjudication resulted in a decision that (1) was contrary to, or involved an unreasonable application of, clearly established federal law as determined by the United States Supreme Court; or (2) was based on an unreasonable determination of the facts in light of the evidence presented to the state courts. 28 U.S.C. § 2254(d).
Under the “contrary to” clause, a federal habeas court may grant the writ if the state court arrives at a conclusion opposite to that reached by the Supreme Court on a question of law, or if the state court decides a case differently than the Supreme Court on materially indistinguishable facts. Williams v. Taylor, 529 U.S. 362, 412-13, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000). Under the “unreasonable application” clause, a federal habeas court may grant the writ if the state court identifies the correct legal principle from the Supreme Court’s decisions but unreasonably applies it to the facts of the petitioner’s case. Id. The court may look to lower courts of appeals’ decisions, not as binding precedent, but rather to inform the analysis of Supreme Court holdings to determine whether a legal principle had been clearly established by the Supreme Court. Hill v. Hofbauer, 337 F.3d 706, 716 (6th Cir.2003). Finally, the habeas petitioner has the burden of rebutting, by clear and convincing evidence, the presumption that the state court’s factual findings were correct. See 28 U.S.C. § 2254(e)(1); McAdoo v. Elo, 365 F.3d 487, 493-94 (6th Cir.2004).
III. Ineffective Assistance of Counsel During the Penalty Phase of Foley’s Trial
Foley claims he was denied effective assistance of counsel because his trial counsel failed to fully investigate his background and did not produce any mitigating evidence during the penalty phase of his trial. He contends that his counsel should have called six family members, five friends, and a school teacher who had not seen him since the 1970s to testify on his *383behalf. Following a detailed hearing in the Kentucky trial court pursuant to Ky. R.Crim. P. 11.42, the Kentucky Supreme Court reviewed this claim and denied it. The magistrate judge reviewed the Rule 11.42 hearing record and the Kentucky Supreme Court’s decision, concluding that Foley’s claim should be denied because the Kentucky Supreme Court’s conclusion was neither contrary to nor an unreasonable application of clearly established federal law. The district court agreed and denied Foley’s claim.
AEDPA limits our inquiry to assessing whether the Kentucky Supreme Court’s conclusion that Foley could not show either deficient performance or prejudice under Strickland v. Washington, 466 U.S. 668, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984), was contrary to, or involved an unreasonable application of, clearly established federal law as determined by the Supreme Court. Our question with respect to this claim, then, is whether the Kentucky Supreme Court’s Strickland application was unreasonable. Putting aside questions of counsel’s performance, we find nothing unreasonable in the Kentucky Supreme Court’s conclusion that Foley was not prejudiced by counsel’s allegedly deficient performance.
To obtain relief under Strickland, a petitioner ultimately must prove that “there is a reasonable probability that, but for counsel’s unprofessional errors, the result of the proceeding would have been different. A reasonable probability is a probability sufficient to undermine confidence in the outcome.” Id. at 694, 104 S.Ct. 2052. “When a [petitioner] challenges a death sentence ..., the question is whether there is a reasonable probability that, absent the errors, the sentencer— including an appellate court, to the extent it reweighs the evidence — would have concluded that the balance of aggravating and mitigating circumstances did not warrant death.” Id. at 695, 104 S.Ct. 2052. Foley fails to show that the introduction of the evidence he contends his counsel should have introduced in mitigation would have had a reasonable probability of changing the jury’s decision to sentence him to death. Some of the testimony could be considered mitigating, in that it described Foley in positive terms: nice, giving, loving, sweet, a good family man, and a hard worker. Much of the evidence, though, was either not mitigating or distinctly negative. Several witnesses mentioned Foley’s penchant for violence, a description difficult to reconcile with the positive accounts but consistent with the crimes the jury knew Foley had committed. Notably, Foley has never come forward with evidence of a difficult childhood or mental problems that might have portrayed him in a more sympathetic light. Although family members testified that Foley had suffered head injuries, there were no medical records to substantiate these claims or to prove that Foley was mentally impaired at the time of his crimes.
A survey of our previous cases bolsters our view that the Kentucky Supreme Court’s conclusion that Foley cannot establish prejudice was correct. See Abdur’Rahman v. Bell, 226 F.3d 696, 708-09 (6th Cir.2000) (finding deficient performance but not prejudice where counsel failed to investigate petitioner’s long history of, violent behavior and antisocial personality disorders and where the evidence contained a description of petitioner’s motive for killing a fellow prison inmate and a history of violent character traits); Scott v. Mitchell, 209 F.3d 854, 880-81 (6th Cir.2000) (finding no prejudice where the mitigating circumstances petitioner wanted presented — loyalty to his siblings, girlfriend, and children, and a violent environment throughout his upbringing — would *384have been negated by evidence of his history of robbery, assault, kidnaping, and other violent acts).
In addition, although our review is limited to assessing the Kentucky Supreme Court’s decision under the strictures of AEDPA, we note the telling contrasts between this case and those in which this court has granted relief. See, e.g., Harries, 417 F.3d at 639-40 (counsel’s inadequate investigation failed to discover evidence of traumatic childhood, including physical abuse, exposure to extreme violence, brain damage, and mental illness); Hamblin, 354 F.3d at 490-91 (counsel conducted no investigation into mitigation, which included evidence of unstable and deprived childhood and probable mental disability or disorder); Coleman v. Mitchell, 268 F.3d 417, 450-52 (6th Cir.2001) (defendant was abandoned by his mother and raised by his grandmother, who abused him both physically and psychologically, neglected him while running her home as a brothel and gambling house, involved him in her voodoo practice, and exposed him to group sex, bestiality, and pedophilia); Carter v. Bell, 218 F.3d 581, 594-600 (6th Cir.2000) (counsel deficient for failing to investigate and present mitigating evidence of petitioner’s poor, violent, and unstable childhood, childhood and adult head injuries, psychiatric problems, and positive relationships with his stepchildren, family, and friends); Skaggs v. Parker, 235 F.3d 261, 269-75 (6th Cir. 2000) (post-conviction evidence indicated that Skaggs was mentally retarded, suffered from organic brain damage, and exhibited psychotic, paranoid, and schizophrenic features).
Accordingly, we conclude that the Kentucky Supreme Court’s decision to deny Foley’s ineffective-assistance claim was neither contrary to nor an unreasonable application of clearly established federal law as determined by the Supreme Court.
IV. Rebuttal Evidence
Foley complains that the prosecution elicited substantive proof of his guilt during its rebuttal, in violation of Kentucky’s rule that substantive proof of guilt should be presented during the prosecution’s case in chief. Wager v. Commonwealth, 751 S.W.2d 28, 29 (Ky.1988). He raised this claim on direct appeal, and the Kentucky Supreme Court dismissed it summarily, noting “that there was no error of sufficient gravity to warrant reversal of his conviction.” Foley, 942 S.W.2d at 890. Foley faces significant hurdles in challenging this conclusion here. First, “a federal court may not issue [a writ of habeas corpus] on the basis of a perceived error of state law.” Pulley v. Harris, 465 U.S. 37, 41, 104 S.Ct. 871, 79 L.Ed.2d 29 (1984). A trial judge’s decision concerning the admission of evidence is a state-law matter generally not subject to habeas review. Estelle v. McGuire, 502 U.S. 62, 67-68, 112 S.Ct. 475, 116 L.Ed.2d 385 (1991). Evi-dentiary issues are not a sufficient basis for granting habeas corpus relief unless the alleged errors deny the petitioner a fair trial. Clemmons v. Sowders, 34 F.3d 352, 357-58 (6th Cir.1994).
We conclude that the admission of the rebuttal evidence did not deny Foley a fair trial. A survey of the evidence makes this clear. During the prosecution’s case in chief, three witnesses testified that they saw Foley shoot Rodney Vaughn: Ronnie Dugger, Bill Dugger, and Danny Joe Bryant. Phoebe Watts testified that she began fleeing the house when she saw Foley draw his pistol and heard shots as she left. Ronnie Dugger was the only witness who testified that he saw Foley shoot Lynn Vaughn. Foley admitted carrying a pistol the night of the killings and *385admitted shooting Rodney Vaughn. According to Foley, Rodney was armed and Foley shot him to protect himself and Lynn Vaughn. Foley also testified that Ronnie Dugger shot Lynn Vaughn. In rebuttal, Bryant and Dugger testified that, after shooting the Vaughns, Foley kicked Rodney Vaughn and said, “you son of a bitch, you caused me to have to kill my partner [Lynn Vaughn].” Caldwell testified that Foley tried both to get Caldwell to lie for him by testifying that he saw Danny Joe Bryant shoot Lynn Vaughn and to convince Ronnie Dugger to go along with this statement.
The only substantive evidence of Foley’s guilt that came in on rebuttal was Foley’s admission in the presence of Bryant and Ronnie Dugger that he shot Lynn Vaughn. During the prosecution’s case in chief, the jury had heard four witnesses testify that Foley was the only one at the gathering who was armed. (Louise Bridges testified that Rodney Vaughn also had a gun.) Ronnie Dugger had already testified that he saw Foley shoot Lynn. Moreover, Ronnie Dugger’s pre-trial deposition, taken in May 1993, undercuts Foley’s claim that he was “sandbagged” by this evidence. When asked at his deposition if Foley said anything about the shootings, Ronnie Dugger testified that Foley said he hated to shoot his partner. Thus, Foley should not have been surprised by Ronnie Dugger’s rebuttal testimony. Finally, Caldwell’s testimony that Foley tried to get him to lie for Foley was merely cumulative of several witnesses’ testimony that Foley orchestrated the disposal of the victims’ bodies. In sum, the rebuttal testimony did not render Foley’s trial unfair and does not entitle Foley to habeas relief.
V. Change of Venue/Continuance
Foley argues that the trial court violated his rights to a fair trial, an impartial jury, and due process of law when it denied his motion for a change of venue or a continuance. He alleges that because of pretrial publicity, the overwhelming majority of prospective jurors knew about the case before coming to court, over thirty percent had already formed an opinion that Foley was guilty and at least one such person sat on the jury, and prospective jurors knew about the four other murder charges pending against Foley. As an alternative to a change of venue, Foley requested a continuance so the publicity could abate over time.
In support of his motion for a change of venue, Foley filed over 200 pages of exhibits and affidavits, including articles from two state wide newspapers and four regional papers dated from August 23, 1991, to August 13, 1993. The first articles reported Foley’s arrest for the Vaughn murders. The Laurel County District Court entered an order on August 23, 1991, prohibiting law enforcement and court personnel from disclosing information about the case. Other articles published in the fall of 1991 provided additional information about Foley, including his status as an FBI informant and the fact that this status kept him from being jailed on charges pending in Ohio at the time of the Vaughn killings. Articles stated that Foley was linked to earlier assaults and deaths.
In October 1991, authorities recovered four bodies from property in the Bald Rock community of Laurel County, Kentucky. The bodies were covered in lime and placed in a septic tank, and the tank was capped with cement. Several newspaper stories linked Foley to these murders. In different articles, the Lexington Herald-Leader gave witnesses’ accounts of both the Vaughn killings and the septic tank murders and asserted that Foley was linked to a total of nine killings. Additional stories followed in November 1991. The *386Laurel County Circuit Court extended the earlier gag order to the septic tank case by order entered November 8,1991.
Press coverage subsided until the fall of 1992. Several papers carried a story about a search for a fifth victim at the Bald Rock site and the discovery of two leg bones evidently planted as a hoax. The articles mentioned Foley and the Vaughn case. In January 1993, newspapers reported that a date was set for trial in the Vaughn case. That same month, reporters covered a civil lawsuit filed by members of the Vaughn family against the FBI. That case also appeared in the news in May 1993. In late May 1993, the London Sentinel-Echo reported on the deposition testimony of several witnesses in the two cases against Foley. The same paper published excerpts from the depositions on August 13, 1993. The trial court had ordered that the depositions remain under seal.
In response to Foley’s motion, the Commonwealth argued that the newspapers had low circulation in Laurel County and that the articles mostly dated from 1991. The prosecution submitted circulation figures for the papers and estimated that less than half of the potential jury pool was exposed to the stories. (Foley was tried for the septic tank murders in April 1994. The trial court granted a change of venue, and the trial was held in Madison County, Kentucky. Foley v. Commonwealth, 953 S.W.2d 924, 928 (Ky.1997).)
State Court Decision
The Kentucky Supreme Court affirmed the trial court’s decision to deny a change of venue by a four-to-three vote. The court noted that Foley did not request a change of venue until the day before trial was scheduled to begin, that most of the newspaper articles he cited were from 1991, two years before the trial, and concluded that the articles were not so numerous or inflammatory as to render Foley’s trial unfair. Foley, 942 S.W.2d at 880-81. The Kentucky Supreme Court found that most jurors heard little more than what was in the indictment and concluded that the jurors who served had not formed an opinion regarding Foley’s guilt or innocence. The court cited Mu’Min v. Virginia, 500 U.S. 415, 427, 111 S.Ct. 1899, 114 L.Ed.2d 493 (1991), for the proposition that the trial judge has a great deal of discretion when assessing pretrial publicity and juror contamination. Foley, 942 S.W.2d at 884. Three justices in dissent found that the trial court erred when it failed to grant a change of venue and that the ten challenged jurors were biased against Foley. Id. at 890-92 (Stumbo, J., dissenting). The dissent emphasized the number of prospective and actual jurors who knew about Foley and the crimes charged, their responses in voir dire, and what it termed the comprehensive and repetitive newspaper coverage. Id. at 890-91.
District Court Decision
The district court held that the Kentucky Supreme Court’s decision was not unreasonable given the jurors’ attestation that they could remain impartial, the fact that publicity had abated by the time of trial, and that the jurors had little knowledge of the case and testified that any outside knowledge would not affect their deliberations. The district court acknowledged that fifteen to twenty minutes was a short amount of time to reach a verdict, but found that there was overwhelming evidence of guilt. The court reiterated that all of the jurors selected for the trial affirmed that they could be fair and impartial and concluded that the Kentucky Supreme Court’s analysis was neither contrary to nor an unreasonable application of Supreme Court precedent.
*387Analysis
We conclude that the district court properly denied this claim. If pretrial publicity jeopardizes a defendant’s right to a fair trial by an impartial jury, the trial court should grant the defendant a change in venue. Irvin v. Dowd, 366 U.S. 717, 722-24, 81 S.Ct. 1639, 6 L.Ed.2d 751 (1961); Ritchie v. Rogers, 313 F.3d 948, 956 (6th Cir.2002). Prejudice resulting from pretrial publicity can be presumptive or actual. Nevers v. Killinger, 169 F.3d 352, 362 (6th Cir.1999), abrogated on other grounds, Harris v. Stovall, 212 F.3d 940, 942-43 (6th Cir.2000). Presumptive prejudice from pretrial publicity occurs where an inflammatory, circus-like atmosphere pervades both the courthouse and the surrounding community. Ritchie, 313 F.3d at 952-53; Gall v. Parker, 231 F.3d 265, 309 (6th Cir.2000). Prejudice from pretrial publicity is rarely presumed. DeLisle v. Rivers, 161 F.3d 370, 382 (6th Cir.1998).
Where pretrial publicity cannot be presumed prejudicial, the trial court must then determine whether it rises to the level of actual prejudice. Ritchie, 313 F.3d at 962. The primary tool for discerning actual prejudice is a searching voir dire of prospective jurors. Id. The court must review the media coverage and the substance of the jurors’ statements at voir dire to determine whether a community-wide sentiment exists against the defendant. Nevers, 169 F.3d at 366. Negative media coverage by itself is insufficient to establish actual prejudice, and the existence of a juror’s preconceived notion as to the guilt or innocence of the defendant, without more, is not sufficient to rebut the presumption of impartiality. Id. at 366-67. “[M]ere prior knowledge of the existence of the case, or familiarity with the issues involved, or even some preexisting opinion as to the merits, does not in and of itself raise a presumption of jury taint....” DeLisle, 161 F.3d at 382. The prospective juror must be able to lay aside his or her impressions or opinions and render a verdict based upon the evidence presented in court. Irvin, 366 U.S. at 723, 81 S.Ct. 1639; Ritchie, 313 F.3d at 962. The relevant question is “did [the] juror swear that he could set aside any opinion he might hold and decide the case on the evidence, and should the juror’s protestation of impartiality have been believed.” Patton v. Yount, 467 U.S. 1025, 1036, 104 S.Ct. 2885, 81 L.Ed.2d 847 (1984).
The state court decision concerning venue was neither contrary to nor an unreasonable application of federal law as determined by the United States Supreme Court. First, it is clear that the pretrial publicity in this case does not merit a presumption of prejudice. Although there was significant media attention when Foley was arrested, when the bodies were discovered in the septic tank, and when there were significant developments in the case, this was not one of the rare cases tried in a circus-like atmosphere. There is nothing in the record to suggest any contact between the media and the jury during the trial. See Ritchie, 313 F.3d at 952-53.
Second, our review of the voir dire does not support the conclusion that pretrial publicity resulted in actual prejudice. See id. at 962. There was publicity surrounding both the Vaughn murders and the discovery of the four bodies in the septic tank, and many articles linked Foley to these and earlier crimes. By the time of the trial, however, nearly two years had elapsed since most of the articles appeared. The potential jurors’ responses in voir dire reflected this passage of time. Most knew that Foley was accused of killing the Vaughns, a smaller number knew that he was suspected of killing the four *388people found in the septic tank, and a still smaller number knew details about Foley and both crimes from news accounts.
To quantify the voir dire responses, six of the ninety-eight prospective jurors had heard nothing of the case; eighteen were excused because they had the opinion that Foley was guilty; seventeen were excused because, given what they had read or heard about the case, they could not presume Foley innocent; six were excused because of personal knowledge of the case; nine were excused for bias due to connections with law enforcement or the victims; seven were excused for opposing the death penalty; one was excused because he would not consider a penalty other than death if Foley were convicted; and five were excused for miscellaneous reasons. Foley, 942 S.W.2d at 881. Of the twelve jurors who actually rendered the verdict, two had no prior knowledge of the case, six were aware that Foley was implicated in the Vaughn killings and the septic tank case, and the remaining four knew about the Vaughn killings but not the septic tank case.
The Kentucky Supreme Court did not address directly whether the jurors who were not excused swore that they could set aside any opinion they might hold and decide the case on the evidence. The court analyzed the issue under its own precedent and described the voir dire responses of the ten challenged jurors. See id. at 882-84 & nn. 2-11. Foley’s brief has conceded the accuracy of the Kentucky Supreme Court’s descriptions of the responses of those jurors. Juror A convinced the trial court that she would do her best to base her verdict solely on the evidence presented in court, Juror B stated that the massive publicity would not affect his rendering a fair and impartial verdict, Juror C had no opinion as to Foley’s guilt, Juror D (the alternate) said that he would enter jury deliberations feeling that Foley was not guilty and that the prosecution had the burden of proof, Juror E said he had no opinion of guilt without hearing all the facts, Juror F said he could be an impartial juror and understood the burden of proof, Juror G said she was not sure if she could remove all information from her mind during the trial and deliberations, but the trial court was convinced that she would follow instructions and decide the case only on the evidence presented, Juror H said she had no ill feelings toward Foley and could put aside all news reports, Juror I had no problem presuming Foley’s innocence and putting the publicity out of her mind, and Juror J (the foreman) said that the media had not swayed his opinion and he had formed no impressions of Foley. See id.
Thus, all of the ten challenged jurors expressed the view, variously phrased, that they could set aside what they had heard about the case and decide it based upon the evidence presented in court. See Patton, 467 U.S. at 1036, 104 S.Ct. 2885. The remaining question is, in view of the pretrial publicity, should the jurors’ statements of impartiality be believed. “In a community where most veniremen will admit to a disqualifying prejudice, the reliability of the others’ protestations may be drawn into question; for it is then more probable that they are part of a community deeply hostile to the accused, and more likely that they may unwittingly have been influenced by it.” Murphy v. Florida, 421 U.S. 794, 803, 95 S.Ct. 2031, 44 L.Ed.2d 589 (1975). In this case, forty-four of the ninety-eight prospective jurors were disqualified because of opinion of guilt, knowledge of the case, or bias in favor of the prosecution. Foley, 942 S.W.2d at 881. In Murphy, the Supreme Court determined that the fact that twenty of the seventy-eight persons questioned were excused because they indicated an opinion as to peti*389tioner’s guilt did not impeach the impartiality of the jurors who did not express an opinion as to guilt. Murphy, 421 U.S. at 803, 95 S.Ct. 2031; see also Mu’Min, 500 U.S. at 417, 111 S.Ct. 1899 (although eight of the twelve jurors empaneled were aware of news reports about the defendant, all of the jurors empaneled stated that they could be impartial). Accordingly, we hold that the Kentucky Supreme Court’s decision that pretrial publicity did not require a change of venue because of actual prejudice was neither contrary to nor an unreasonable application of federal law as determined by the United States Supreme Court.
The district court also properly denied Foley’s claim that the trial court should have granted him a continuance to let publicity die down. Denial of a continuance rises to the level of a constitutional violation only if it is so arbitrary as to violate due process. Morris v. Slappy, 461 U.S. 1, 11-12, 103 S.Ct. 1610, 75 L.Ed.2d 610 (1983). The petitioner must also demonstrate that the denial of a continuance actually prejudiced his or her defense. Burton v. Renico, 391 F.3d 764, 772 (6th Cir.2004); Powell, 332 F.3d at 396. The Kentucky Supreme Court found that the trial court was justified in denying Foley’s motion for a continuance because he filed it on the eve of trial. Thus, the denial was not arbitrary. Moreover, Foley cannot show prejudice because, as stated above, he did not demonstrate that it was impossible to seat an impartial jury in Laurel County in the fall of 1993.
VI. Trial Court’s Refusal to Strike Ten Jurors for Cause
Foley argues that the trial court erred by failing to strike ten jurors he challenged for cause. He maintains that the court should not have accepted the jurors’ statements that they could be impartial and judge the case only on the facts presented. Foley points to the speed of the jury’s verdict as compelling the conclusion that the jurors had prior knowledge of the case and, in some instances, knowledge of the accusations against Foley in the quadruple-homicide case.
State Court Decision
The Kentucky Supreme Court, in a four-to-three decision, affirmed the trial court’s decision regarding the ten challenged jurors. The court reviewed each juror’s responses in voir dire to examine their pretrial knowledge of other crimes connected to Foley, their ability to put such knowledge out of their minds, and their ability to presume Foley innocent. As summarized above, the Kentucky Supreme Court determined that each of the challenged jurors stated that he could set aside what he knew about the case and decide it only on the evidence presented at trial. Foley, 942 S.W.2d at 882-84 & nn. 2-11. The court concluded that the jurors’ recollections diminished with time, that most remembered few details, that none who served indicated that he had formed an opinion regarding guilt or that the information affected his ability to render a verdict based on the evidence presented, and that the jurors who might have been influenced by the pretrial publicity were excused by the trial court. The court found that most of the press coverage merely mentioned the facts of the case, that most of the articles were in papers that had little distribution in Laurel County, and that while most jurors remembered hearing of the case they could not recall details. Id. at 882-85.
Justice Stumbo, writing for the dissent, noted that each of the ten challenged jurors knew who Foley was and knew of the crime charged, that six of the ten knew of the other murders with which Foley was charged, and that extensive rehabilitation was necessary in order to qualify the ju*390rors for service on the jury. Id. at 891 (Stumbo, J., dissenting). In addition, the dissent identified responses by six of the jurors that suggested they believed, or knew people who believed, that Foley was guilty. Id. Finally, the dissent asserted that the jurors’ knowledge of the media coverage and facts surrounding this case and the other charges against Foley meant that it was reasonable to infer actual bias or prejudice. Id. at 891-92.
District Court Decision
The magistrate judge observed that the trial court conducted a lengthy voir dire over three days and that all ten challenged jurors were questioned about whether they could be impartial and consider the full range of penalties. The magistrate judge reviewed the voir dire of each of the ten jurors and noted that they had only very limited knowledge of the events reported in the media, that this information was not probative of guilt, and that they did not learn the information from anyone associated with the case. In addition, the magistrate judge found that the jurors’ responses did not reflect any preconceived opinions of guilt or hostility toward Foley. Finally, the magistrate judge concluded that Foley had not rebutted the state courts’ factual findings and that the Kentucky Supreme Court’s decision was neither contrary to nor an unreasonable application of Supreme Court precedent.
The district court overruled Foley’s objections to the magistrate judge’s report and recommendation. The court distinguished the case relied upon by Foley, Wolfe v. Brigano, 232 F.3d 499 (6th Cir. 2000). In Wolfe, two jurors knew the victim’s parents well and did not state unequivocally that they could set aside their relationships with the victim’s parents and decide the case fairly. Id. at 502. In this case, the district court found no evidence of a significant risk that any of the jurors in Foley’s case might be partial despite attestations to the contrary.
Analysis
As explained above in our discussion about pretrial publicity, prior knowledge of the case or even an opinion on the merits is not enough to disqualify a juror who swears that he can set aside any opinion and decide the case upon the evidence presented at trial, and the juror’s protestation of impartiality is to be believed. See Patton, 467 U.S. at 1035, 104 S.Ct. 2885; Irvin, 366 U.S. at 723, 81 S.Ct. 1639. In this case, the trial court conducted a thorough voir dire and was satisfied from the responses of the ten challenged jurors that they could set aside what they had heard about the case and decide it based upon the evidence presented in court. See Patton, 467 U.S. at 1036, 104 S.Ct. 2885. Foley conceded the accuracy of the Kentucky Supreme Court’s summary of the jurors’ responses and has not shown that the state court’s decision regarding those jurors was contrary to or an unreasonable application of federal law as determined by the Supreme Court.
VII. The Commonwealth’s Use of Aaron Caldwell’s Testimony
Foley argues that the Commonwealth attempted to bolster its case by using per-jurious testimony from Caldwell that Foley tried to get Caldwell to lie for him. During the prosecution’s rebuttal, Caldwell testified that Foley wanted Caldwell to say that he saw Danny Joe Bryant shoot Lynn Vaughn and wanted Caldwell to convince Ronnie Dugger to go along with this statement.
In a June 2001 motion for a new trial, Foley alleged that Caldwell had perjured himself at trial. He attached an affidavit by Caldwell, also known as Aaron Rivers, dated March 17, 2000, in which Caldwell swore that Foley had not asked him to lie, *391that Ronnie Dugger told him Rodney Vaughn killed Lynn Vaughn, that Caldwell said what the Kentucky State Police wanted to hear, and that the prosecutor coached him on his testimony. While Foley’s motion for a new trial pended, Caldwell executed another affidavit. In this affidavit, dated June 8, 2001, Caldwell swore that Ronnie Dugger’s sister paid him $8000 to corroborate Dugger’s testimony at trial, that the prosecutor did not coach him about what to say at trial, that he completed the earlier affidavit and reported falsely that Foley coerced him to do so in order to be transferred from a maximum to a minimum security prison, and that he had lied so many times in this case to benefit himself it was hard to keep up.
The Commonwealth objected to Foley’s motion and attached an October 2001 affidavit from Caldwell, an April 2000 affidavit from Caldwell, and letters Caldwell wrote to Commonwealth Attorney Tom Handy and Kentucky Department of Public Advocacy Investigator Cathy Bowman. The letters to Handy stated that Caldwell feared Foley would kill him or have him killed in prison. An undated letter to Bowman wondered why the prosecution allowed him to take the stand against anyone, especially in a murder case. The April 2000 affidavit recited that Caldwell signed the March 2000 affidavit in response to a threat on his life by Foley. Caldwell’s October 2001 affidavit disavowed the letters and vouched for the June 2001 affidavit.
State Court Decision
The trial court found that Foley had failed to show that Caldwell’s trial testimony was false, that the prosecutor knew it was false, or that the absence of Caldwell’s testimony would have changed the jury’s verdict. The Kentucky Supreme Court agreed with each conclusion. Foley, 2003 WL 21993756, at *2-3. The court noted that Caldwell had signed conflicting affidavits several years after the trial and while serving time in the same prison system as Foley, leaving no reason to believe that they were any more reliable than his initial testimony. As to the prosecution’s knowledge of Caldwell’s alleged perjury, the court found that Foley could not show that the prosecutor could have known that Caldwell would recant his trial testimony six or seven years later. Finally, the court held that there was not a reasonable likelihood that Caldwell’s testimony affected the judgment of the jury because there was overwhelming testimony as to Foley’s guilt and his attempts to orchestrate a cover-up.
District Court Decision
The magistrate judge concluded that the Kentucky Supreme Court reasonably applied Giglio v. United States, 405 U.S. 150, 92 S.Ct. 763, 31 L.Ed.2d 104 (1972), to the facts of the case and that the state court’s decision was neither contrary to nor an unreasonable application of clearly established Supreme Court precedent. The district court detailed the state courts’ findings and conclusions and agreed with the magistrate judge. The district court found the Kentucky Supreme Court’s conclusions on the relevant factual issues entitled to deference and a presumption of correctness under 28 U.S.C. § 2254 and concluded that the state court’s opinion was not contrary to any Supreme Court precedent. The court reiterated that the prosecution was not aware that Caldwell committed perjury at trial and that Foley could not demonstrate that, absent Caldwell’s testimony, the outcome of the trial might have been different because there was overwhelming evidence of Foley’s guilt and his attempts to intimidate witnesses and shift blame.
Analysis
We conclude that the district court properly denied this claim. The *392knowing use of perjured testimony, including the failure to correct false testimony, constitutes a denial of due process if there is any reasonable likelihood that the false testimony could have affected the judgment of the jury. Napue v. Illinois, 360 U.S. 264, 272, 79 S.Ct. 1173, 3 L.Ed.2d 1217 (1959). This includes the use of testimony, whether elicited or left uncorrected, that the prosecutor knows or should know is false. Giglio, 405 U.S. at 153-54, 92 S.Ct. 763. In this case, Foley has not shown that the prosecution knew or should have known that Caldwell was committing perjury when he testified at Foley’s trial. None of Caldwell’s post-judgment statements that support Foley date to the time of the trial. Moreover, the accumulation of contradictory statements Caldwell has made over the years provides no basis to conclude that Caldwell lied at trial, as opposed to later. Finally, even if Caldwell’s trial testimony were false, Foley did not establish a reasonable likelihood that this testimony could have affected the jury’s judgment. Caldwell testified that Foley wanted him to implicate Danny Joe Bryant in Lynn Vaughn’s death. Notably, this was different from what Foley testified at trial, when he blamed Lynn’s death on Ronnie Dugger. In any event, several witnesses testified that Foley was the only armed person at the gathering, that Foley shot Rodney Vaughn, and that only Foley and Ronnie Dugger were in the house when Lynn Vaughn was shot. Ronnie Dugger testified that Foley shot Lynn, and several witnesses testified that Foley recruited them to help cover up the crimes. In short, Caldwell’s trial testimony was not a crucial link in the case against Foley. Accordingly, the Kentucky Supreme Court’s decision to reject Foley’s Giglio claim was neither contrary to nor an unreasonable application of federal law as determined by the United States Supreme Court.
VIII. Conclusion
We AFFIRM the district court’s dismissal of each of petitioner’s claims for habeas corpus relief.
. Here I am quoting the words of the Kentucky Supreme Court, not the words of the jurors themselves.