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Data dependency

A relation in which one program operation reads or writes a location whose value or ordering is affected by another operation, constraining safe reordering and parallel execution.

Core Idea

Data dependencies include true flow, anti-, and output dependences, distinguished from name dependence and control dependence and analyzed across statements, loop iterations, memory aliases, and execution paths. Read and write sets intersect under an execution order; the direction and distance of the conflicting accesses determine whether reordering changes values and which transformations require renaming or synchronization. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.

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Shared Chalkboard Order

Imagine two kids sharing one chalkboard. If one kid writes a number and the other kid reads it, they have to go in the right order, or the reader sees the wrong number. If each kid uses a different chalkboard, the order doesn't matter. A data dependency is when steps share a spot like that, so you can't swap them around.

Steps That Share a Spot

A computer program is a list of steps that read and write information in memory. A data dependency happens when two steps touch the same piece of memory and at least one of them writes to it, so swapping their order would change the answer. There are three kinds: a step needs a value that an earlier step wrote; a step overwrites a value that an earlier step still had to read; or two steps both write to the same place. Knowing these helps a computer figure out which steps it can safely reorder or run at the same time.

Read-Write Ordering Constraints

A data dependency exists between two operations when they access the same memory location and at least one of them writes it, so changing their order could change the result. There are three kinds. A true (flow) dependence is read-after-write: one step writes a value that a later step reads. An anti-dependence is write-after-read: a later step overwrites a value an earlier step still needs to read. An output dependence is write-after-write: two steps write the same location, so the final value depends on order. These are different from control dependence, where whether a step runs at all depends on a decision like an if-statement. Compilers and parallel processors analyze data dependencies to know which steps can safely be reordered or run in parallel and which changes need tricks like renaming or synchronization.

 

A data dependency is a constraint between operations arising because their read and write sets intersect under some execution order, so reordering them could change the values computed. The main types are true (flow) dependence, read-after-write; anti-dependence, write-after-read; and output dependence, write-after-write. These are distinguished from name dependence and from control dependence, where one operation's execution depends on a branch outcome. Analysis is performed across statements, loop iterations, memory aliases, and execution paths. For loops, the direction and distance of conflicting accesses (for example, iteration i writing what iteration i+1 reads) determine whether iterations can be reordered or parallelized. The analysis also determines which transformations are legal as-is, which require renaming to break name dependences, and which require synchronization. A rigorous claim must make explicit the operations, memory objects and possible aliases, the read and write events, execution order, which paths are feasible, the dependence type, the loop distance, and the transformation being justified.

Scope of Application

Data dependency belongs to compiler and parallel computing and is useful where the analyst can specify the typed compiler and parallel computing carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate operations, memory objects or aliases, read and write events, execution order, path feasibility, dependence type, loop distance, and transformation claim are explicit. The scope is broad within that domain but bounded by the need for operations, memory objects or aliases, read and write events, execution order, path feasibility, dependence type, loop distance, and transformation claim are explicit. The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Clarity

The abstraction clarifies a crowded vocabulary by making operations, memory objects or aliases, read and write events, execution order, path feasibility, dependence type, loop distance, and transformation claim are explicit the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test. A bare label is insufficient because the name Data dependency can be used for a formal identity, an implementation, or a neighboring result unless carrier and convention are stated.

Manages Complexity

Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to Data dependency. Data dependency compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.

Abstract Reasoning

  1. Identify the carrier. State what the elements, states, objects, or observations are: the typed compiler and parallel computing carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem.
  2. Lock the constitutive rule. Express operations, memory objects or aliases, read and write events, execution order, path feasibility, dependence type, loop distance, and transformation claim are explicit independently of one notation or implementation.

Knowledge Transfer

Knowledge transfers strongly among subfields of compiler and parallel computing because they reuse the typed compiler and parallel computing carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, Read and write sets intersect under an execution order; the direction and distance of the conflicting accesses determine whether reordering changes values and which transformations require renaming or synchronization., and type the carrier, state every parameter and convention in the definition, test that operations, memory objects or aliases, read and write events, execution order, path feasibility, dependence type, loop distance, and transformation claim are explicit, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.

Relationships to Other Abstractions

Local relationship map for Data dependencyParents appear above the current abstraction, mutual partners to the right, and children below. Node labels state whether each abstraction is prime or domain-specific; colors identify relation types.Data dependencyDOMAINPrime abstraction: Dependency — is a kind ofDependencyPRIME

Current abstraction Data dependency Domain-specific

Parents (1) — outgoing typed relations

  • Data dependency is a kind of Dependency Prime

    It remains its own entry because its identity is fixed by operations, memory objects or aliases, read and write events, execution order, path feasibility, dependence type, loop distance, and transformation claim.

Hierarchy path (1) — routes to 1 parentless root

Neighborhood in Abstraction Space

Data dependency sits in a crowded region of the domain-specific corpus (4th percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.

Family — Concurrency & Parallel Computation (35 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-25