Constraint Programming

Technique

Constraint Programming (CP) is a technique for solving combinatorial problems, particularly constraint satisfaction and optimization, through systematic enumeration of candidate solutions combined with search tree pruning driven by constraint propagation and bounds. CP frameworks offer expressive, heterogeneous constraint models (e.g., subgraph isomorphism, connected component constraints) and have been applied to domains ranging from combinatorial optimization (e.g., stable set and maximum clique) to the automatic generation and compilation of reconfigurable processor extensions.

First seen 6/9/2026

Last seen 6/9/2026

Evidence 9 chunks

Wiki v1

WIKI

Overview

Constraint Programming (CP) is a problem-solving paradigm in which combinatorial problems are modeled declaratively as sets of variables, domains, and constraints, and then solved by systematically exploring the space of assignments while pruning infeasible or suboptimal regions of the search tree [arxiv:cs/0407041v1]. The paradigm is closely associated with the "computation as deduction" viewpoint, under which solving a problem is treated as deriving a satisfying or optimal assignment from a set of logical constraints [arxiv:cs/0602027v1].

Core Mechanisms: Enumeration and Pruning

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NEIGHBORHOOD

8 nodes · 12 edges

graph · Constraint Programming · depth=1

RELATIONSHIPS

7 connections

Code Generation implements → 95% 2e

Constraint programming is used to implement and model the code generation process.

Code Generation for Custom Architectures using Constraint Programming ← uses 100% 2e

The thesis uses constraint programming as the core paradigm for modeling code generation problems.

Instruction Scheduling implements → 95% 2e

Constraint programming is used to implement instruction scheduling.

IFPEC ← implements 100% 1e

IFPEC is built using Constraint Programming as its core technique.

Superblock Instruction Scheduling ← uses 85% 1e

Superblock instruction scheduling has been implemented using constraint programming.

Constraint Programming Approach to Reconfigurable Processor Extension Generation and Application Compilation ← uses 100% 1e

The paper presents a constraint programming approach for processor extension design problems.

Instruction Selection implements → 90% 1e

Constraint programming is used to implement instruction selection in related work.

LINKED ENTITIES

2 links

Constraint Programming Approach to Reconfigurable Processor Extension Generation and Application Compilation USES Extracted graph relationship

IFPEC IMPLEMENTS Extracted graph relationship

CITATIONS

6 sources

6 citations — click to expand

[1] Constraint programming uses enumeration and search tree pruning to solve combinatorial optimization problems. Exploiting Semidefinite Relaxations in Constraint Programming

[2] Semidefinite relaxations can be used inside CP to guide search (e.g., via limited discrepancy search) and to provide bounds for pruning, with experiments on stable set and maximum clique problems. Exploiting Semidefinite Relaxations in Constraint Programming

[3] CP can be explained at three levels of abstraction: (1) computation as deduction, (2) explanation of various constraint propagation algorithms, and (3) automatic generation and optimization of those propagation algorithms. Explaining Constraint Programming

[4] CP can be used to model custom instructions and applications as graphs and to solve processor extension identification, selection, scheduling, binding, and routing using subgraph isomorphism and connected component constraints. Constraint Programming Approach to Reconfigurable Processor Extension Generation and Application Compilation

[5] The CP approach enables combining heterogeneous constraints and simultaneously solving extension selection, application scheduling, and binding, improving the quality of results. Constraint Programming Approach to Reconfigurable Processor Extension Generation and Application Compilation

[6] The CP-based approach for reconfigurable processor extension design is implemented in the integrated design framework IFPEC. Constraint Programming Approach to Reconfigurable Processor Extension Generation and Application Compilation