GIANT (Generalized Intelligent Anchor-Based Notation) is a programming language designed to make relational and tolerance-based reasoning explicit in computation. Unlike traditional languages that treat numeric values as absolute scalars, GIANT represents values together with anchors: structured constraints that include a reference value, a tolerance range, and a comparison relation. Programs evaluate whether values satisfy these anchor constraints, making approximate reasoning and context-dependent comparisons first-class operations. The language is motivated by real-world domains such as measurement validation, threshold-based decision systems, and rule-based classification where exact equality is unrealistic. GIANT’s core contribution is a formal semantic model that treats anchors as primary values, along with operational rules that define deterministic evaluation. This work does not claim machine intelligence; rather, it provides a formal framework for transparent, auditable relational computation. Future work includes static typing for anchors, compositional relations, and tooling for visualization and integration with decision systems.