MARTINEZ, Justice.
Petitioner, Argus Real Estate, Inc. (Argus), appeals from a court of appeals decision affirming the district court’s entry of summary judgment in favor of respondent, E-470 Public Highway Authority (the Authori[606]*606ty). See Argus Real Estate, Inc. v. E-470 Public Highway Auth., 97 P.3d 215 (Colo.App.2003). This case was filed in the district court after the entry of final judgment in a previous quiet title action. The district court in this case found, and the court of appeals agreed, that Argus’ claim for statutory reformation pursuant to section 15-11-1106(2), C.R.S. (2004), was barred by the doctrine of res judicata because the rights associated with the property at issue and the agreement for which Argus seeks reformation were completely adjudicated in the previous quiet title action.
We granted certiorari on the issue of whether the court of appeals erred in upholding the district court’s entry of summary judgment based on its conclusion that res judicata precludes the filing of a separate action requesting reformation of a property agreement under section 15-11-1106(2) when the claim for reformation could have been brought in the first action and was not. We hold that in absence of any clear intent to abrogate the common law doctrine of res judicata, section 15-11-1106(2) does not provide an exception to res judicata such that Argus may raise the statutory reformation claim in a subsequent judicial proceeding when the claim could have been raised in the previous action. Accordingly, we affirm the decision of the court of appeals.
I. Facts and Procedure
In 1990, landowner Britton Ranch, Ltd. (Britton) entered into an agreement (the agreement) with the Authority whereby Brit-ton would donate a parcel of real property (the parcel) to the Authority for the purpose of constructing the E-470 highway. The agreement was signed on behalf of Britton by a representative of Britton’s general partner Argus Real Estate Partners, Inc. (Partners). Pursuant to section 5.3 of the agreement, if the Authority no longer needed the parcel, or any portion of it, the Authority would offer the parcel, or the unneeded portion, back to Britton or its assigns by quitclaim deed for no charge.1
Four months after entering into the agreement, Britton executed a “gift deed” granting the parcel to the Authority. The gift deed, however, did not have any provision mirroring that of section 5.3 in the agreement. After granting the parcel to the Authority, Britton then assigned its interest in the agreement to Argus.
The Authority subsequently constructed the highway, but did not use the parcel. The highway was instead built approximately one-half mile away from the parcel.
In 2000, the Authority initiated a civil action against Britton and Partners (hereafter collectively referred to as “Britton”2) asserting two claims (Argus I). First, the Authority sought declaratory judgment that section 5.3 of the agreement with Britton was extinguished or rendered ineffective because the gift deed was controlling and had no similar language. Second, the Authority asserted a quiet title claim requesting that title to the parcel be quieted in the Authority.
Britton answered on behalf of itself and its successors in interest and also counterclaimed for breach of contract, specific performance, and declaratory judgment. In addition, Britton counterclaimed seeking quiet title in Britton or its successors in interest. In support of the counterclaims, Britton asserted that the agreement was binding and, because the Authority did not use the parcel for the construction of the highway, the Authority “no longer needed” the parcel and was obligated under the agreement to convey it back to Britton or Britton’s successors in interest by quitclaim deed.
On the Authority’s motion for summary judgment, the district court found that any interest in the parcel created by section 5.3 [607]*607was a nonvested interest and was subject to the rule against perpetuities. The court concluded that the interest was invalid because under the language of the agreement there was no means to determine when, if ever, the Authority would “no longer [have] a need” for the parcel and thus no way to determine when, if ever, Britton’s interest would vest. As such, the district court held the nonvested interest was void under the rule against per-petuities and the Authority was entitled to judgment as a matter of law. On this basis, the district court quieted title to the parcel in the Authority.
Britton appealed the district court’s entry of summary judgment and the court of appeals affirmed.3 See E-470 Public Highway Authority v. Argus Real Estate Partners, Inc., 70 P.3d 481 (Colo.App.2002).
In June 2002, Argus, as the assignee of Britton’s interest in the agreement with the Authority, filed this action (Argus II) against the Authority asserting promissory estoppel and unjust enrichment claims. Argus also asserted claims seeking common law reformation of the agreement and statutory reformation pursuant to section 15 — 11— 1106(2) of the Colorado Statutory Rule Against Perpetuities Act (the Act).
The Authority immediately moved to dismiss the claims as barred by the doctrines of res judicata and collateral estoppel. Argus contended the claims were not barred, arguing, inter alia, that section 15-11-1106(2) provides an exception to the doctrine of res judicata. Specifically, Argus argued that section 15-11-1106(2) authorizes a court to reform an agreement to effect the intent of the parties where a court has made a prior judicial determination that an interest violates Colorado’s common law rule against perpetuities. Argus contended that the General Assembly intended section 15-11-1106(2) to apply to a second court proceeding, therefore abrogating any common law principles of res judicata. Accordingly, Argus argued that because the court in Argus I determined that the nonvested interest created by section 5.3 of the agreement violated the common law rule against perpetuities, the court in Argus II was authorized by section 15-11-1106(2) to reform the agreement.
The district court rejected Argus’ argument that section 15-11-1106(2) provides an exception and held that the doctrine of res judicata was applicable to the claims Argus asserted. The court noted that res judicata bars subsequent claims where there exists a final judgment in the first case and identity of subject matter, claims, and parties between the two cases. The court determined that each of these factors were present: there was a final judgment in the first case; this case involved the same parcel of land; the claims in this case involve the same assertion of legal right to the parcel as the first case; and Argus was in privity of estate with Britton and therefore Argus had an identity of parties in both lawsuits. Thus, the district court concluded that Argus was bound by the judgment in Argus I and its claims were barred as a matter of law by res judicata. Consequently, the district court treated the Authority’s motion to dismiss as a motion for summary judgment and entered summary judgment in favor of the Authority.
Argus appealed and the court of appeals affirmed the district court’s entry of summary judgment. See Argus Real Estate, Inc. v. E-470 Public Highway Auth., 97 P.3d 215 (Colo.App.2003). The court of appeals refused to read section 15-11-1106(2) as an exception to the doctrine of res judicata. Id. at 219. The court found that the language of section 15-11-1106(2) does not identify when reformation claims should be raised and therefore an interested party could raise the claim in the same proceeding where it is determined that the rule against perpetuities was violated. Id. Because there is a “strong public policy favoring the finality of litigation and the security and marketability of titles, ... and the ability of a claimant to plead alternative claims for relief,” the court found [608]*608no compelling reason to read 15-11-1106(2) as an exception to the finality of the quiet title determination made in Argus I. Id. The court of appeals concluded that Argus’ claims were barred by res judicata and upheld the district court’s entry of summary judgment. Id.
We granted certiorari.
II. Analysis
As an initial matter, we clarify the terminology used in our analysis. This court uses the terms “claim preclusion” and “issue preclusion” rather than “res judicata” and “collateral estoppel.” See Farmers High Line Canal and Reservoir Co. v. City of Golden, 975 P.2d 189, 196 n. 11 (Colo.1999). In prior opinions, we have used the phrases interchangeably, however, as noted by the United States Supreme Court in Migra v. Warren City Sch. Dist. Bd. of Educ., 465 U.S. 75, 77 n. 1, 104 S.Ct. 892, 79 L.Ed.2d 56 (1984), use of the phrases “res judicata” and “collateral estoppel” can lead to confusion because “res judicata” is commonly used as an overarching label for both claim and issue preclusion. Id. Although the parties in their briefs and both courts below discuss the preclusive effect of Argus I as “res judicata,” we clarify the issue as one clearly giving rise to “claim preclusion.”
We begin our analysis with a discussion of common law claim preclusion and the finality of quiet title actions to explain that Argus’ statutory reformation claim is barred absent a statutory exception. Next, we discuss section 15-11-1106(2) and consider whether the General Assembly intended to abrogate common law claim preclusion. We conclude that the General Assembly lacked the clear intent necessary to abrogate the common law doctrine and hold that section 15-11-1106(2) does not provide an exception to claim preclusion.
We review the court of appeals’ decision upholding the district court’s entry of summary judgment and its interpretation of section 15-11-1106(2) de novo. See Vigil v. Franklin, 103 P.3d 322, 327 (Colo.2004).
A. Claim Preclusion
Claim preclusion works to preclude the relitigation of matters that have already been decided as well as matters that could have been raised in a prior proceeding but were not. Lobato v. Taylor, 70 P.3d 1152, 1165 (Colo.2003); Cruz v. Benine, 984 P.2d 1173, 1176 (Colo.1999). The doctrine protects “litigants from the burden of relitigat-ing an identical issue with the same party or his privy and of promoting judicial economy by preventing needless litigation.” Lobato, 70 P.3d at 1165-66 (quoting Parklane Hosiery Co. v. Shore, 439 U.S. 322, 326, 99 S.Ct. 645, 58 L.Ed.2d 552 (1979)). For a claim in a second judicial proceeding to be precluded by a previous judgment, there must exist: (1) finality of the first judgment, (2) identity of subject matter, (3) identity of claims for relief, and (4) identity or privity between parties to the actions. Cruz, 984 P.2d at 1176.
With respect to the first two elements of this test, there is no question that the judgment in Argus I is final and that this action, Argus II, involves the same parcel of land and same agreement as the subject matter of litigation in Argus I. In addition, although Argus was not named as a party in Argus I, we agree with the court of appeals that the fourth element is satisfied because Argus is a successor in interest to Britton. Argus, 97 P.3d at 217. Not only did Britton and Partners file its cross-complaint for quiet title in Argus I on behalf of their successors in interest, but in litigation where the subject matter is property, successors in interest to that property are in privity of estate with the parties to the litigation and are ordinarily bound by the judgment. Id.; see also Green v. Chaffee Ditch Co., 150 Colo. 91, 99, 371 P.2d 775, 779 (1962) (“When a judgment establishes the law of the case, ... it becomes a rule of property as to the subject matter of the suit, and passes with it to all persons subsequently claiming under such parties.” (internal citations and quotations omitted)). Because the remaining third element — identity of claims for relief — is not as easily explained, we discuss it in more detail.
In analyzing whether there exists identity of claims for relief, we have held that the inquiry does not focus on the specific [609]*609claim asserted or the name given to the claim. Farmers High Line Canal, 975 P.2d at 199. Instead, the “same claim or cause of action requirement is bounded by the injury for which relief is demanded, and not by the legal theory on which the person asserting the claim relies.” Id. (citing State Eng’r v. Smith Cattle, Inc., 780 P.2d 546, 549 (Colo.1989)). In addition, claim preclusion also bars a litigant from splitting claims into separate actions because once judgment is' entered in an action it “extinguishes the plaintiffs claim ... including] all rights of the plaintiff to remedies against the defendant with respect to all or any part of the transaction, or series of connected transactions, out of which the action arose.” Restatement (Second) of Judgments § 24 (1982). Thus, claim preclusion bars relitigation not only of all claims actually decided, but of all claims that might have been decided if the claims are tied by the same injury. Farmers High Line Canal, 975 P.2d at 199.
In Argus I, Argus’ predecessor in interest, Britton, answered and sought to contest the quiet title claim asserted by the Authority. In addition, Britton asserted a cross-claim also seeking quiet title to the parcel.'
Quiet title actions are governed by C.R.C.P. 105. In a quiet title action, the relief sought is clear title to the subject property by means of a complete adjudication of the rights of all parties to the action. C.R.C.P. 105(a); Hopkins v. Bd. of County Comm’rs of Gilpin County, 193 Colo. 230, 236, 564 P.2d 415, 420 (1977). A decree declaring title in any party “grants full and adequate relief so as to completely determine the controversy and enforce the rights of the parties.” C.R.C.P. 105(a). Given the finality of a quiet title action and the grant of “full relief’ afforded by the court in such an action, it is incumbent upon all parties to raise any claims, issues or defenses that may affect the court’s adjudication of rights in the sub-' ject property as all rights are to be determined in a single action. When the court in Argus I entered its decree quieting title in the Authority, the decree was a complete adjudication of the rights of all parties in the action.
In support of Argus’ subsequent statutory reformation claim in Argus II, Argus argued that although its interest was found to violate the rule against perpetuities, section 15 — 11— 1106(2) required reformation of the agreement such that it would bring the agreement within the limits of the rule against perpetu-ities to best represent the intent of the parties when they entered into the agreement. The reformation claim is an alternative theory for Argus to assert its rights in the parcel under the same agreement that was the subject of the quiet title adjudication in Argus I. That is, because the court in Argus I found the property interest under the agreement void, Argus now offers a new theory in which the court in Argus II can reform the same agreement, circumvent the common law rule against perpetuities and pronounce a valid interest in the parcel held by Argus.
Because Britton and the Authority .sought quiet title in Aygus I, it was incumbent upon each party to raise any claims, issues and defenses it may have had that would affect the adjudication of rights in the parcel. As such, not only could Britton have raised its statutory reformation claim as affecting its rights in the parcel, but Britton should have raised the claim because the claim directly involved the adjudication of its rights in the parcel as part of the quiet title claim.4 Quiet title actions are intended to grant full relief to the party asserting an interest in the property and, if that interest is based upon a theory of reformation, such a claim must be raised. Here it is apparent that the statutory reformation claim ultimately seeks the same relief — title to the parcel under the agreement. The claim also seeks redress for the same alleged injury — deprivation of an interest in the parcel. Accordingly, there is [610]*610sufficient identity of claims between the quiet title claims in Argus I and the statutory reformation claim asserted in Argus II to satisfy the third element of claim preclusion.
Because each element of claim preclusion is present in Argus’ statutory claim for reformation in Argus II as it relates to the quiet title claims in Argus I, we agree that the claim is barred by the common law doctrine of claim preclusion unless we accept Argus’ contention that this court should recognize a statutory exception to the doctrine of claim preclusion in section 15-11-1106(2).
B. Statutory Exception to Claim Preclusion
In support of its contention that section 15-11-1106(2) creates an exception to claim preclusion, Argus argues that the intent of the General Assembly to abrogate the common law doctrine of claim preclusion can be found in both the plain language of the statute and through the remedial intent of the Act. Because we find no clear intent by the General Assembly to abrogate the common law doctrine of claim preclusion, we find no exception in section 15-11-1106(2).
In 1991, the General Assembly adopted the Act as part of several revisions and additions to Colorado’s Probate Code. Ch. 252, sec. 9, §§ 15-11-1101 to -1107, 1991 Colo. Sess. Laws 1442, 1445. The Act was closely modeled on the Uniform Statutory Rule Against Perpetuities Act (USRAPA) authored by the National Conference of Commissioners on Uniform State Laws. 2A Krendl, Colorado Methods of Practice § 72.27 (4th ed.1998). The express intent of the Act is to “make uniform the law ... among states” and to “supersede!] the rule of the common law known as the rule against perpetuities.” § 15-11-1107(1) and (2), C.R.S. (2004).
Section 15-11-1106 prescribes how to apply the statute. The provision distinguishes between nonvested property interests created before and after the effective date of the Act. Section 15-11-1106(2) applies to non-vested interests created before May 31,1991. The parties agree that because the agreement was executed before May 31, 1991, section 15-11-1106(2) applies to the nonvest-ed interest in the parcel created by the agreement.5 Accordingly, it is this section that Argus relies upon to argue an exception to claim preclusion.
Section 15-11-1106(2) allows for an interested party to petition a court to reform the disposition of a nonvested property interest where that interest is determined in a judicial proceeding to violate the rule against perpetuities:
If a nonvested property interest or a power of appointment was created before May 31, 1991, and is determined in a judicial proceeding, commenced on or after May 31, 1991, to violate this state’s rule against perpetuities as that rule existed before May 31, 1991, a court upon the petition of an interested person shall reform the disposition by inserting a savings clause that preserves most closely the transferor’s manifested plan of distribution and that brings that plan within the limits of the rule against perpetuities applicable when the nonvested property interest or power of appointment was created.
Argus and the Authority construe the section differently. Argus contends that the plain language of the provision allows an interested party to bring a new action for reformation after a judicial determination that a property interest violated the common law rule against perpetuities. Given the equitable and remedial nature of the Act and Argus’ contention that the plain language of section 15-11-1106(2) permits a second action, Argus argues the provision creates an exception to the doctrine of claim preclusion. The Authority contends that section 15 — 11— 1106(2) does not provide that a reformation claim may be raised in a subsequent proceeding and therefore section 15-11-1106(2) does not authorize an interested party to file a second lawsuit in derogation of claim preclu[611]*611sion. Because there is no evidence of the General Assembly’s intent to abrogate the common law doctrine of claim preclusion, the Authority argues that this court should not construe the provision as such. We agree with the Authority.
“[SJtatutes may not be interpreted to abrogate the common law unless such abrogation was clearly the intent of the General Assembly.” Preston v. Dupont, 35 P.3d 433, 440 (Colo.2001); Robinson v. Kerr, 144 Colo. 48, 52, 355 P.2d 117, 119-20 (1960). Absent such clear intent, statutes must be deemed subject to the common law. Robbins v. People, 107 P.3d 384, 387 (Colo.2005) (citing Bradley v. People, 8 Colo. 599, 604, 9 P. 783, 786 (1886)). The statute purporting to abrogate the common law may do so expressly or by clear implication, however, under either circumstance, the abrogation must be more than an “imagined connection.” Preston, 35 P.3d at 440. In our analysis, “we will not strain to give language other than its plain meaning.” Id. (citations omitted).
In this case, the common law to which Argus seeks a statutory exception is the common law doctrine of claim preclusion. The doctrine of claim preclusion predates our modern legal system. Friedenthal et al., Civil Procedure § 14.2 (2d ed.1993). The doctrine was established under Roman law as a means of terminating controversy by judgment of the court. Id. The doctrine was integrated into English common law by the early 1100s and eventually incorporated into our American legal system. Id.
Not only is claim preclusion part of Colorado common law, but the doctrine is fundamental to the operation of the judicial system. It is well-recognized that claim preclusion confirms the finality of judgments and, in doing so, preserves the integrity of the judicial system. Lobato, 70 P.3d at 1166 (citing Wright, Miller & Cooper, Federal Practice and Procedure § 4403, at 23 (2d ed.2002)). That is, “judicial integrity would be compromised and the value of and respect for court rulings would be seriously devalued if one matter could be easily reliti-gated with inconsistent results.” Id. at 1166. Moreover, by preserving the integrity of the judicial system, claim preclusion encourages reliance on adjudication. Rantz v. Kaufman, 109 P.3d 132, 138, 2005 WL 452056, *8 (Colo. Feb.28, 2005).
Given the history and vitality of the doctrine as a foundation for the finality of litigation and a fundamental basis for confidence in our system of jurisprudence, judicially-recognized exceptions to claim preclusion are extremely rare.6 Id. Similarly, statutory provisions creating exceptions to claim preclusion must do so in a manner that is undoubtedly clear. These principles are particularly significant in the context of an attempt to create an exception to the preclusive effect of quiet title decrees.
Section 15-11-1106(2) creates the possibility for an interested party to “petition” a court to reform the disposition of a nonvested property interest where that interest “is determined in a judicial proceeding ... to violate this state’s rule against perpetuities.” § 15-11-1106(2). Although the Probate Code defines “petition” as “a written request to the court for an order after notice,” section 15-10-201, C.R.S. (2004), nothing in the Act or section 15-11-1106(2) provides that an interested party may petition the court for reformation in a subsequent action. The statute simply states that an interested party may petition the court when it is determined [612]*612in “a judicial proceeding” that a nonvested property interest violates the rule against perpetuities. § 15-11-1106(2).
Argus contends that the plain language of section 15-11-1106(2) does not require that a reformation claim be brought in the same proceeding where a court determines that a property interest is void under the rule against perpetuities and instead permits a claim to be raised in either the same judicial proceeding or a subsequent one. As such, Argus contends that because section 15 — 11— 1106(2) permits the reformation claim to be raised in a subsequent proceeding, the General Assembly intended to abrogate the common law doctrine of claim preclusion by clear implication. We disagree because there is no clear intent to abrogate the common law doctrine of claim preclusion that would authorize a litigant to state a reformation claim that is otherwise barred.
Section 15-11-1106(2) does not mention claim preclusion7 or specify that reformation may be pursued in a subsequent judicial proceeding. _ The National Conference of Commissioners on Uniform State Laws comments on USRAPA state that “the equitable power to reform [as established by the reformation provision] would typically be exercised in the same judicial proceeding in which the invalidity is determined.” Unif. Statutory Rule Against Perpetuities Act § 5 cmt. (amended 1990), 8B U.L.A. 285, 289 (2001). While Argus reads this-comment as implying the intent of the authors of USRAPA and the General Assembly to authorize reformation claims in a subsequent judicial proceeding, if any intent is to be derived from this comment, it is the intent of the authors that reformation claims should be raised in the same proceeding in which a property interest is deemed invalid. It in no way evidences any intent by the authors of USRAPA, or the General Assembly, to permit reformation claims in derogation of common law claim preclusion.
In furtherance of its argument, Argus attempts to analogize the statutory scheme established by the Act to the limited claim preclusion exception recognized by the Restatement (Second) of Judgments that permits “claim splitting.” Argus specifically refers to Section 26(l)(d) which provides:
[T]he general rule [precluding claim splitting] does not apply to extinguish the claim, and part or all of the claim subsists as a possible basis for a second action by the plaintiff against the defendant ... [when] it is the sense of the [statutory or constitutional] scheme that the plaintiff should be permitted to split his claim.
Because Argus contends that section 15 — 11— 1106(2) does not prohibit a second proceeding, it asserts that “it is in the sense” of the Act that Argus should be permitted to split its claims in Argus I and Argus II.
This argument fails because permitting claim splitting or acknowledging any exception to claim preclusion under these circumstances would substantially undermine the purpose of quiet title. “The manifest intent of [quiet title] is to provide a complete adjudication of the rights of all parties,” Hopkins, 193 Colo. at 236, 564 P.2d at 420 (internal quotations omitted), and to grant “full and adequate relief so as to completely determine the controversy and enforce the rights of the parties.” C.R.C.P. 105. The provisions of C.R.C.P. 105 are designed to provide certainty and security to quiet title proceedings by “resolving competing claims that exist at a particular time, and this purpose would be frustrated were the rule to permit piecemeal litigation of claims.” 5 Krendl, Colorado Methods of Practice, Civil Rules Annotated § 105.2 (3d ed.1998). If we were to permit an exception to the finality of quiet title decrees, it would defeat the purpose of the action and place uncertainty on the legitimacy of quieted title. The statute does not address when reformation claims can be made and from this absence it cannot be inferred that the Act was intended to create an exception to the doctrine of claim preclusion and undermine the finality and purpose of quiet title actions.
[613]*613Argus next contends that the remedial purpose of the Act evidences the General Assembly’s intent to provide an exception to claim preclusion. Specifically, Argus argues that the intent of the Act to relieve parties of the onerous burdens of the rule against per-petuities “could not be more clear” and that this remedial intent, in essence, serves as a basis for finding an exception to common law claim preclusion. We agree that the remedial intent of the Act is clear and where an interested party raises a claim under the Act, specifically section 15-11-1106(2), a court should afford that party every opportunity to argue the merits of the claim and provide reformation relief from the harshness of the rule against perpetuities. This opportunity, however, must come within the limits of judicial procedure and the common law doctrines that constrain our judicial system, including claim preclusion, absent any clear legislative intent or clear statutory implication to the contrary. Argus’ argument fails because it misconstrues the clear intent of the General Assembly to abrogate the common law rule against perpetuities as the General Assembly’s intent to abrogate the common law doctrine of claim preclusion. Applying the remedial intent of the Act as a means of abrogating the common law, especially common law as fundamental as claim preclusion, is insufficient evidence of the General Assembly’s clear intent. Under the circumstances of this case, the opportunity to raise the statutory reformation claim was during the quiet title proceeding in Argus I.
For these reasons, we find no intent to abrogate the common law doctrine of claim preclusion in the adoption of the Act. If the General Assembly intended to do so, we find it could have done so more clearly.
III. Conclusion
Because there is no clear intent by the General Assembly to abrogate the common law doctrine, we find no exception to claim preclusion in section 15-11-1106(2). Accordingly, we affirm the decision of the court of appeals and the trial court that Argus’ statutory reformation claim is barred as a matter of law by the doctrine of res judicata.
Justice KOURLIS dissents, and Justice RICE and Justice COATS join in the dissent.