Atomic Constraint

Concept

An atomic constraint is the simplest, indivisible form of a constraint in an Extended Conditional Constraint Satisfaction Problem (ECondCSP), typically expressed as a predicate over variables (e.g., a=b or c>3). Atomic constraints serve as the leaf nodes of ECondCSP parse trees and are combined via logical operators (and, or, not, imply) into complex constraints by the ECondCSP builder.

First seen 8/12/2026

Last seen 8/12/2026

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Atomic Constraint

Definition

An atomic constraint is the simplest form of constraint in an Extended Conditional Constraint Satisfaction Problem (ECondCSP). It cannot be divided into simpler expressions. Atomic constraints are the elementary building blocks from which complex ECondCSP constraints are constructed by linking them with logical operators such as and, or, not, and implies.

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ECondCSP Builder ← uses 95% 3e

ECondCSP Builder composes complex constraints from atomic constraints linked by logical operators.

Composition Method ← uses 95% 2e

Composition method builds complex constraints from atomic constraints linked by logical operators.

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ECondCSP Builder USES Extracted graph relationship

Composition Method USES Extracted graph relationship

CITATIONS

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[1] An atomic constraint is the simplest form of constraint, which cannot be divided into simpler expressions. Automatic test program generation using extended conditional constraint satisfaction - Intranational Business Machines Corporation

[2] Atomic constraints may be represented using truth tables that cover all possible assignments of the input variables, or as explicit expressions such as a>b+c+1. Automatic test program generation using extended conditional constraint satisfaction - Intranational Business Machines Corporation

[3] Two atomic constraints such as (a=b) and (c=d) can be combined into a complex constraint using a logical operator. Automatic test program generation using extended conditional constraint satisfaction - Intranational Business Machines Corporation

[4] The ECondCSP builder transforms parse-tree leaves (atomic constraints) into ECondCSP constraints with a single activation requirement (all variables active) and a single preserved-semantics element equal to the original semantics. Automatic test program generation using extended conditional constraint satisfaction - Intranational Business Machines Corporation

[5] If a certain operand is atomic, its vector of (activation requirement, preserved semantics) pairs comprises only a single pair. Automatic test program generation using extended conditional constraint satisfaction - Intranational Business Machines Corporation

[6] In an ECondCSP each constraint is conditional, meaning any of its variables may be active or inactive; logical-operator results depend on operand activity status. Automatic test program generation using extended conditional constraint satisfaction - Intranational Business Machines Corporation