# Hazard Algebras

J. Brzozowski, Z. Ésik

Research output: Contribution to journalArticle

13 Citations (Scopus)

### Abstract

We introduce algebras capable of representing, detecting, identifying, and counting static and dynamic hazard pulses that can occur in the worst case on any wire in a gate circuit. These algebras also permit us to count the worst-case number of signal changes on any wire. This is of interest to logic designers for two reasons: each signal change consumes energy, and unnecessary multiple signal changes slow down the circuit operation. We describe efficient circuit simulation algorithms based on our algebras and illustrate them by several examples. Our method generalizes Eichelberger's ternary simulation and several other algebras designed for hazard detection.

Original language English 223-256 34 Formal Methods in System Design 23 3 https://doi.org/10.1023/A:1026218512171 Published - Nov 2003

### Fingerprint

Hazard
Algebra
Hazards
Wire
Circuit Simulation
Networks (circuits)
Circuit simulation
Ternary
Counting
Count
Logic
Generalise
Energy
Simulation

• Algebra
• Circuit
• Gate
• Hazard
• Multivalued
• Simulation
• Transient

### ASJC Scopus subject areas

• Theoretical Computer Science
• Computational Theory and Mathematics

### Cite this

Hazard Algebras. / Brzozowski, J.; Ésik, Z.

In: Formal Methods in System Design, Vol. 23, No. 3, 11.2003, p. 223-256.

Research output: Contribution to journalArticle

Brzozowski, J. ; Ésik, Z. / Hazard Algebras. In: Formal Methods in System Design. 2003 ; Vol. 23, No. 3. pp. 223-256.
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