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Challenging Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence Formal Methods in Computer-Aided Design Lausanne, Switzerland October 21-24, 2014

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Page 1: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

Challenging Problems in Industrial Formal Verification

Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence Formal Methods in Computer-Aided Design Lausanne, Switzerland October 21-24, 2014

Page 2: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

2 © 2014 Cadence Design Systems, Inc. All rights reserved. © 2014 Cadence Design Systems, Inc. All rights reserved worldwide. Cadence and the Cadence logo are trademarks of Cadence Design Systems, Inc. in the United States and other countries. All other trademarks are the property of their respective owners and are not affiliated with Cadence.

Software and verification driving SoC project costs 80% of overall development costs, mostly in headcount

Source: IBS July 2013

IP Qualification

Physical Imp.

Verification and

Validation

Software

65nm (354M)

40nm (615M)

28nm (1044M)

20nm (1317M)

16/14nm (1636M)

Process Node (# transistors)

Page 3: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

3 © 2014 Cadence Design Systems, Inc. All rights reserved.

Ever-growing system development complexity

Manufacturin

g  

System  QA    

System

 Mod

eling  and  HW

-­‐SW  Par::

oning  

Sub-­‐system  Verifica:on  Sub-­‐system  Integra:on  

SW  Driven  SoC  Bare  Metal  /  Drivers  Valida:on  

           SoC  HW  Verifica:on  SoC  

Integra:on  

FW/Drivers  development  

FW/Drivers  on    accurate  IP  /  Sub-­‐System  

OS  and  peripheral  Bring-­‐

up  on  virtual  models  

Middleware  Bring-­‐up  

Middleware  Development  and  Tes:ng  

Interconnect  Performance  

 and  Verifica:on  Power  

convergence  

Digital  –  AMS  convergence  

OS  and  Peripherals  Bring-­‐up  on  accurate  HW  

Virtual  plaKorm  crea:on  

System  Performance  and  Power  analysis  

IP  Qualifica:on  /  Development  

IP  Verifica:on  

Bare  Metal    on  Silicon  Bring-­‐up  

Silicon  Test  

OS  on  Silicon  Bring-­‐up  

System  on  Silicon  Bring-­‐up  

System  QA  

System  Performance  and  Power  analysis  

Gate-­‐level  Valida:on  

IP

Sub

-Sys

tem

S

oC

Firm

war

e / D

river

s O

S a

nd

Mid

dlew

are

A

pps

Time

Har

dwar

e S

oftw

are

Early Software Development and HW-SW Validation System

and Silicon Validation

SoC / Sub-System Integration and Verification

IP Design and Verification

Gate-level Validation

Silicon

Architect

System Validation Engineer

Logic Designers

Verification Engineer

Firmware Developer

Application Developers

Manager

Integrator

Page 4: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

4 © 2014 Cadence Design Systems, Inc. All rights reserved.

System Development Suite Broad and connected solution for today’s and emerging challenges

IP

Sub

-Sys

tem

S

oC

Firm

war

e / D

river

s O

S a

nd

Mid

dlew

are

A

pps

Time

Har

dwar

e S

oftw

are

Early Software Development and HW-SW Validation System

and Silicon Validation

SoC / Sub-System Integration and Verification

IP Design and Verification

Gate-level Validation

Acceleration, Emulation

Multi-abstraction Hybrid and Embedded Testbench

Prototyping

Simulation

Verification IP

High-Level Synthesis

Formal Analysis

Silicon

D

ebug

Pla

nnin

g an

d M

anag

emen

t

Software-Driven Verification

Low-Power, Mixed Signal, Safety

Page 5: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

5 © 2014 Cadence Design Systems, Inc. All rights reserved.

• Formal Verification Adoption • Where does FV fit in in the SoC design,

integration, and verification flows? • Overview of some FV applications

• Security verification •  Low-power verification • System-level verification

• Forward looking …

Agenda

Page 6: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

6 © 2014 Cadence Design Systems, Inc. All rights reserved.

Complexity driving need for Formal Verification

Low Power Dynamic power islands,

functional verification, and sequential equivalence

Security Trusted zones, secure access, immunity from

physical attacks

Multi-Processor Complex on-chip buses,

deadlock, coherency

Use is limited to handful of very high-end ICs 1990s

2010+

2000s

Super computers Software only

Mobile phones Concentrated use in PC and graphics Software only

Use in mobile, consumer, server, graphics, IT, and

computing

Wide-spread use in mobile, consumer,

industrial, automotive, tablets, and mobile phones

Use in mobile, automotive, servers, gaming IC, and

graphics chips

Page 7: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

7 © 2014 Cadence Design Systems, Inc. All rights reserved.

Traditional verification solutions fall short on hardest problems

Low Power Security Multi-Processor

Simulation is empirical, can’t test all possible combinations, suffers from long run times and labor-intensive debug

Emulation is expensive, happens too late, can’t test all modes

•  Previously rare and esoteric verification problems are now common to most chips

•  Formal Verification to embrace complexity as a strategy

Large number of possible power modes

Pre-verified modules can deadlock after integration

Register state impacts security path access

Non-deterministic transitions

Cache coherency with many heterogeneous master and slaves

Specifications of prohibited behavior

Structural changes have unexpected impact

Distributed on-chip bus implementation

Simulation and Emulation

Page 8: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

8 © 2014 Cadence Design Systems, Inc. All rights reserved.

Formal Verification adoption phases

Time

ROI Quality, Bugs, Coverage, Productivity

Formal Verification

1st wow

Pilot FV Staffing, on risky blocks, Small team

Adopt

Wide Deployment FV an established methodology in Design and Validation flows

Master Formal Technology

Customized Solutions based on FV technologies in Design and Validation Flows

Corner stone In DV flow Cross blocks Multiple projects

ü  Completeness ü  High coverage ü  Uncover hard bugs ü  Verify high level properties ü  Post-Silicon Debug ü  High productivity

Page 9: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

9 © 2014 Cadence Design Systems, Inc. All rights reserved.

90’s 00’s 10’s 20’s

ROI Quality Cost Risk Schedule

Dynamic Validation

ü  Formal solutions (Apps) ü  Replacing simulation ü  Wide deployment

ü  Addressing system complexity

ü  Formal is the primary method at IP level

Disruptive Formal Verification

•  Technology •  Methodology •  Business model

Limited scope (users and problems)

Page 10: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

10 © 2014 Cadence Design Systems, Inc. All rights reserved.

EDAC 1Q14 MSS Report 18.9 % Growth YoY in Property Checking

2012 2013 2014

Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 4Q/4Q CAE

2.3 Logic Verification 200.2 226.7 229.3 249.9 193.8 223.0 232.3 275.4 246.25

0 8.6%

2.3.1 RTL Simulation 103.2

102.7 106.0 116.3 110.9

107.2 120.7

132.2 108.26

0 7.4%

2.3.3 Hardware Verification 74.1

98.6 97.1 93.6 n/a

n/a n/a

n/a n/a

2.5 Formal Verification 29.8 31.7 37.5 35.4 40.3 38.9 39.5 45.1 35.479 9.6%

2.5.1 Equivalency Checking

17.4 18.9

20.1 19.7

20.1 20.3

19.5 20.0 20.204 1.8%

2.5.2 Property Checking 12.4

12.9 17.5

15.8 20.2

18.5 20.0 25.0 15.275

18.9%

Page 11: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

11 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Design capacity: Size of designs that can be read and elaborated

•  Verification capacity: Measured by the number of state variables in pruned

models that FV engines can verify

•  Performance: CPU run time needed to

complete a verification task

•  Debugging: Measured by human effort spent to complete a verification task

•  Predictability: Where can FV be applied

•  Coverage and progress metrics

Formal Verification Technology Factors

Verification Capacity

Performance

Predictability

Coverage

and Progress Metrics

Debug

Design Capacity

Page 12: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

12 © 2014 Cadence Design Systems, Inc. All rights reserved.

Design Analyze and Elaborate

Design Refinement

Compression and Optimization

Proof Engines

RTL and Spec Technology Challenges Technology Frontier

Design size, design style (e.g., latch based) ASIC, SoC, CPU, or GPU Evolving RTL and specification languages and standards

Design Capacity and Complexity

Ease of setup, clocking scheme Path analysis, X analysis, design traversal Ability to get structural and functional design information

Design Traversal Algorithms

Ability to manage verification complexity Automatic abstractions (counters, memories) Design or State Space Abstraction (interactive, automatic)

Formal Capacity

Fast core engines for bug hunting, proofs, visualization Tuning for formula complexity, compression, Optimization, decomposition, engine defaults…

Core Engines Capacity and Performance

Leverage parallel computing for scalability and throughput Exploit various engine technologies, engine races, parallel property processing …

Parallel Computing

Speed of automatically extracting waveforms Trace concatenation, what-if analysis, visualization

Interactive Analysis

Page 12 | © 2013, Jasper Design Automation | Confidential

Industrial FV system, a holistic approach

Page 13: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

13 © 2014 Cadence Design Systems, Inc. All rights reserved.

SoC-level Formal Verification

Inte

rcon

nect

Sub

syst

em

Peripherals

Processor Subsystem

Graphics, Video, and

Audio Subsystem

Memory Subsystem

Clocks, Low-Power Controllers, Interrupts

Register Verification

Page 14: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

14 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Given a DUV with register space accessed by –  Standard interface (AHB, OCP, etc.) –  Proprietary interface (parallel, serial)

•  To prove –  Data integrity of register fields

–  i.e., Data read from a register equals previously written data –  Reset values

–  Data read from a register equals reset value till it is written to

Control and status register verification

Page 15: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

15 © 2014 Cadence Design Systems, Inc. All rights reserved.

SoC-level Formal Verification

Inte

rcon

nect

Sub

syst

em

Peripherals

Processor Subsystem

Graphics, Video, and

Audio Subsystem

Memory Subsystem

Clocks, Low-Power Controllers, Interrupts

Connectivity Verification

Page 16: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

16 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  System can have tens of thousands of static and multiplexed connections among IP blocks

•  “Correct-by-construction” tools are not sufficient, as errors can still creep in due to unclear or erroneous specifications

•  Additional low-power structures, BIST, and JTAG support, or downstream changes/ECOs that weren’t fully propagated

•  Connectivity of a sub-module, that is correct as such, may prove to be erroneous in a larger scope

Connectivity verification

Page 17: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

17 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Exhaustively verify that the design matches the connectivity definition

–  Verify that Point A is equivalent to Point B –  No other signals/modes/settings can impact connections

•  Quickly reproduce and reconfirm results (regressions) as RTL is being modified

•  Easily add signal connection conditions or exceptions •  Read in directly the spec spreadsheet

Connectivity Formal Verification

Page 18: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

18 © 2014 Cadence Design Systems, Inc. All rights reserved.

SoC-level Formal Verification

Inte

rcon

nect

Sub

syst

em

Peripherals

Processor Subsystem

Graphics, Video, and

Audio Subsystem

Memory Subsystem

Clocks, Low-Power Controllers, Interrupts

Clock and Low-Power Verification

Page 19: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

19 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Power domains: Groups of blocks that can be turned off

together. “Turn off” means all elements in these blocks

lose their values and drive ‘X’

•  Isolation cells: Isolated signal has a different driver

(than stated in the RTL) if isolation condition is true

•  Retention cells: Cells designed to retain the value of

registers in domains that are “turned-off”

•  Level shifters: Structures designed to allow operation in

different voltage in adjacent power domains

Clock and low-power Verification

Page 20: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

20 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Power-up and power-down sequences –  Visualization of waveform and checking required time delays

•  Check that a switchable block does not generate additional X’s at outputs (or dedicated signals) if it is powered down and up again

•  Protocols (e.g., ARM® AMBA® AXI standard, etc.) are not violated due to a component being powered down

•  FIFOs stretching over two power domains – Confirm they are isolated so that no spurious transitions occur

Example low-power verification tasks

Page 21: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

21 © 2014 Cadence Design Systems, Inc. All rights reserved.

SoC-level Formal Verification

Inte

rcon

nect

Sub

syst

em

Peripherals

Processor Subsystem

Graphics, Video, and

Audio Subsystem

Memory Subsystem

Clocks, Low-Power Controllers, Interrupts

Deadlock Detection

Page 22: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

22 © 2014 Cadence Design Systems, Inc. All rights reserved.

Deadlock Detection and Verification

Architectural Bugs

Block Implementation

Bugs

System Implementation

Bugs

Use Architectural Modeling to model architecture and detect architectural deadlocks

Use Formal Property Verification to detect deadlocks by verifying protocol, arbitration, data-integrity, etc.

Detects deadlocks due to system implementation and integration bugs

Page 23: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

23 © 2014 Cadence Design Systems, Inc. All rights reserved.

SoC-level Formal Verification

Inte

rcon

nect

Sub

syst

em

Peripherals

Processor Subsystem

Graphics, Video, and

Audio Subsystem

Memory Subsystem

Clocks, Low-Power Controllers, Interrupts

Security Path

Analysis

Page 24: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

24 © 2014 Cadence Design Systems, Inc. All rights reserved.

Page 25: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

25 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  System architecture –  Moving secured areas to isolation –  Analyzing data flow on the whole system –  Manually identify potential structural paths and insert blocking

conditions •  System integration

–  Investigate (often with a structural analysis tool) each structural path to ensure that they are false path

•  Very tedious and ad hoc

–  Only able to look at a small subset of traces –  Rather subjective and no clear checking mechanism –  Difficult to get real sense of completeness

What do people do today?

Page 26: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

26 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Identify any unintentional path to/from secured areas – Use of path sensitization ideas – User specifies secure area and illegal sources and destinations

for the data inside this area –  Optional: User can specify blocks through which data is allowed to

propagate – Waveforms show illegal propagations found

•  Potential savings –  Time savings: weeks vs. months –  Verify all paths and understand progress – Completeness, not just subjective determination of correctness

Security path verification overview

Secure Area

Page 27: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

27 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Structural analysis: Look at structural paths and waive connections found. Very inefficient, subjective, and time consuming

•  Simulation: Inserting Xs at the source and checking for Xs

at the destination. Could find bugs, but will never guarantee completeness

•  Formal: Different problem to handle, requires special

modeling and formal analysis techniques

Possible solutions

Page 28: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

28 © 2014 Cadence Design Systems, Inc. All rights reserved.

SoC-level Formal Verification

Inte

rcon

nect

Sub

syst

em

Peripherals

Processor Subsystem

Graphics, Video, and

Audio Subsystem

Memory Subsystem

Clocks, Low-Power Controllers, Interrupts

Connectivity Verification

Security Path

Analysis

Register Verification

Clock and Low-Power Verification

Interface Protocol Modeling and Verification

Architecture Modeling and Verification

Deadlock Detection

Page 29: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

29 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Formal property verification

•  Sequential equivalence checking

•  Structural property synthesis

•  Behavioral property synthesis

•  X propagation checking

•  Coverage analysis and measurement

•  Post-silicon debug (PSD)

•  Clock glitch analysis and debug

•  Functional Safety – ISO26262

•  …

IP and subsystem-level design and verification solutions

Page 30: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

30 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Arbiters •  On-chip bus bridges •  Power management units •  Memory and DMA controllers •  Host bus interface unit •  Scheduler, implementing

multiple threads •  Virtual channels for QoS

Good candidates for FPV

§  Interrupt controller §  Token generators §  Cache coherency §  Credit manager blocks §  Standard interface

(ARM AMBA protocol, DDR, etc.)

§  Proprietary interfaces §  Clock disable units

Sweet spots: concurrency and multiple data streams, which are difficult to completely verify using simulation

Page 31: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

31 © 2014 Cadence Design Systems, Inc. All rights reserved.

Formal coverage

DUT

Formal Setup

Stimuli Coverage

How restrictive is the design behavior under the formal setup? What dead code does it generate?

DUT

Formal Setup

Property Completeness Coverage

How complete my property set? Do I capture all design behaviors?

Properties

DUT

Formal Setup

Proof Coverage

What coverage is achieved by the proven properties?

Proven Properties ✔ DUT

Formal Setup

Bounded Proof Coverage

What is coverage of bounded proof? Is the bound enough? How to do better?

Bounded Proof Properties

?

Page 32: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

32 © 2014 Cadence Design Systems, Inc. All rights reserved.

DUT Coverage

DB

Testbench Simulator

Formal Tool Cover items not hit in simulation

Cover items that are confirmed unreachable

Use formal to cover areas that are hard for simulation to address, or formally prove they are impossible to reach

Interacting with coverage metrics from simulation

Page 33: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

33 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Performance, capacity, and convergence of core engine

•  Automatic abstraction

•  Application-specific automatic proof strategies

•  Word-level model checking

•  Hybrid of simulation and formal technologies

•  Predictability

•  Coverage and progress measurement

Core model checking technology

Page 34: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

34 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  70% of verification effort is in debug loop !! –  Spec, Design, Tools, setup, …

•  Debug vs. root-cause analysis

•  Self-aware tools

•  Pre vs. post silicon validation

Debug and Verification Productivity

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Page 35: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

35 © 2014 Cadence Design Systems, Inc. All rights reserved.

•  Address cost and productivity issues in design and validation

•  Can we get 100% proofs on RTL models (at least for selected IP blocks)? –  If not, how do we measure the coverage? – What is the cost?

•  HLM for verification is unavoidable…

•  Cross software/hardware verification is a huge challenge

•  Leverage the great progress in parallel and distributed computing

Challenges and opportunities ahead…

Page 36: Challenging Problems in Industrial Formal … Problems in Industrial Formal Verification Ziyad Hanna, PhD, Vice President of R&D, Fellow Formal and Automated Verification, Cadence

© 2014 Cadence Design Systems, Inc. All rights reserved worldwide. Cadence and the Cadence logo are registered trademarks of Cadence Design Systems, Inc. in the United States and other countries. ARM and AMBA are registered trademarks of ARM Limited (or its subsidiaries) in the EU and/or elsewhere. All rights reserved. All other trademarks are the property of their respective owners.