Current AI systems are evaluated as reasoners through final-answer accuracy, reasoning traces, process supervision, and computational or human-relative efficiency. Yet these measures do not establish whether reasoning adapts when tasks or evidence change. We distinguish across-task adaptivity, where acquired abstractions transfer or recombine across novel problems, fromwithin-task adaptivity, where hypotheses and actions are revised in response to new observations, feedback, or counterexamples. Using ARC-AGI as a diagnostic case study rather than an alignment benchmark, we examine what existing measures leave unresolved when test-time search, sampling, or adaptation affects performance. We propose intervention-oriented evaluation that tests abstraction transfer and hypothesis revision under controlled changes to tasks and evidence, with explicit reporting of test-time procedures and budgets. This perspective supports evaluating systems for robustness, responsiveness to corrective feedback, and auditability under changing conditions.
Figures & tables
Evidence
What it establishes / leaves unresolved
Outcome
Measures task success; does not identify how the solution was obtained.
Trace
Exposes expressed reasoning; does not establish behavioral grounding or adaptation.
Process
Evaluates intermediate-step quality; does not test responsiveness to changed evidence.
Resource
Reports compute and search budgets; does not separate stronger reasoning from larger search.
Human-relative
Measures efficiency against humans; does not identify what was acquired or revised.
Table 1: Complementary evidence provided by existing reasoning evaluations and the questions each leaves unresolved.
Evidence
Minimum reporting
Outcome
Task success pre- and post-intervention.
Reasoning artifact
Relevant trace, hypothesis, proposal, program, action, or other observable intermediate decision.
Test-time budget
Samples, tokens, search steps, refinement rounds, interactions, tools, or other inference-time resources.
Across-task
What structure is preserved or changed, the paired task variants, and the corresponding behavioral response.
Within-task
What evidence is added or modified, the decision before and after the intervention, and subsequent behavior.
Human reference
Action efficiency, trajectory, or strategy information when used as a diagnostic comparison.
Table 2: Minimum reporting for interpreting intervention-oriented evidence of adaptive reasoning.
Appendix figures & tables5 assets
Supplementary material from the paper’s appendix.
Appendix
Approach
Variation or intervention
Main evaluative target
Connection to adaptive reasoning
Contrast Sets
Local changes to an input or task instance
Sensitivity of model predictions to meaningful local contrasts
Provides a basis for constructing controlled task variants, which we use to test whether behavior follows preserved or changed task structure.
CheckList
Behavioral test conditions and targeted input perturbations
Capability-specific behavioral testing
Motivates targeted tests and controls that isolate the behavior associated with a specified capability.
ConceptARC
Concept-centered families of ARC tasks
Generalization across tasks that share a concept
Closely related to across-task adaptivity, which additionally distinguishes concept-preserving from concept-changing interventions.
Belief-R
Newly supplied textual evidence
Revision or maintenance of a prior conclusion
Closely related to within-task adaptivity, which applies the same distinction to observable decisions beyond textual conclusions.
Thinking-draft faithfulness
Intermediate reasoning content
Causal influence of reasoning on later reasoning or answers
Tests dependence on intervened reasoning content, whereas our within-task evaluation changes task-relevant evidence and examines the resulting revision.
Our framework
Task structure or task-specific evidence
Abstraction transfer and evidence-sensitive revision
Evaluates across-task and within-task adaptivity under controlled changes while making test-time resources explicit.
Appendix
Table 3: Relationship to closely related evaluation paradigms. The comparison focuses on the information varied by each approach and the behavioral question it is designed to answer.
Figure 3: Across-task adaptivity illustrated with related ARC-AGI-1 tasks. The base task, 1e0a9b12 , applies pixel-level downward relocation. Under the evaluator-specified abstraction, 3618c87e is concept-preserving: the manipulation unit and downward-relocation rule remain unchanged despite the introduction of a structured gray background. In 25ff71a9 , the manipulation unit changes from individual pixels to a connected object, yielding an object-level downward-relocation rule and a concept-changing variant.
Figure 4: Within-task adaptivity in ARC-AGI-3 task r11L . (a) The initial state of Level 1. (b) Clicking a black cell moves the current white endpoint, providing confirming evidence about endpoint control. (c) Clicking the dark-gray endpoint swaps the white and dark-gray roles, contradicting the hypothesis that the dark-gray endpoint is fixed and motivating a targeted revision. (d) After Level 1 is cleared, Level 2 introduces additional structures while previously acquired interaction rules remain useful. The sequence illustrates how supported knowledge can be retained while task-specific hypotheses are revised or extended as new evidence becomes available.
Branch
Evidence
Expected response
Contradictory
Clicking the dark-gray endpoint swaps the white and dark-gray roles.
Revise the claim that the dark-gray endpoint is fixed.
Confirming
Clicking a black cell moves the white endpoint to that cell.
Retain the claim that the white endpoint is movable.
Irrelevant
Clicking a light-gray obstacle produces no endpoint movement.
Preserve the endpoint-role hypothesis.
No added evidence
No diagnostic interaction occurs.
Continue under the same test-time budget.
Appendix
Table 4: Same-history branching in ARC-AGI-3 task r11L . Each branch specifies the expected response to different evidence about the current hypothesis.
Stage
Across-task
Within-task
Before intervention
Specify the target structure C(τ) and the properties to be preserved.
Record the available evidence Et and an observable decision Zt , such as a hypothesis, program, plan, action, or tool call.
Intervention
Modify a surface property or the target structure while controlling other relevant properties.
Add or modify evidence to produce Et′ and identify which part of Zt the new evidence bears on.
Expected response
Specify whether behavior should remain stable, transform predictably, or change with the modified structure.
Specify whether the implicated decision should be revised or retained given the new evidence.
Observed response
Compare behavior across the paired task variants.
Compare the decision before and after the intervention and record subsequent behavior B>t .
Controls
Use matched variants and report the test-time budget.
Use no-intervention or irrelevant-evidence branches when possible, and report the test-time budget.
Appendix
Table 5: Operationalization of across-task and within-task adaptivity.
TIB - Leibniz Information Centre for Science and Technology · L3S Research Center, Leibniz University of Hannover · Dresden University of Technology +1
Knight Foundation School of Computing and Information Sciences, Security, Optimization, and Learning for InterDependent Networks Laboratory (solid lab) Florida International University Miami, Florida, USA