Prototype Verification System Rick Erkens May 24th, 2017 Rick - - PowerPoint PPT Presentation

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Prototype Verification System Rick Erkens May 24th, 2017 Rick - - PowerPoint PPT Presentation

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Prototype Verification System Rick Erkens May 24th, 2017 Rick Erkens May 24th, 2017 Prototype Verification System Background John Rushby, Stanford Research Institute Patrick Lincoln, Sam Owre, Natarajan Shankar, Ashish Tiwari Emacs

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Prototype Verification System

Rick Erkens May 24th, 2017

Rick Erkens May 24th, 2017 Prototype Verification System

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Background

  • John Rushby, Stanford Research Institute
  • Patrick Lincoln, Sam Owre, Natarajan Shankar, Ashish Tiwari
  • Emacs user interface
  • Google Scholar: 1907 citations
  • Described as a research prototype

Rick Erkens May 24th, 2017 Prototype Verification System

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System

  • Written in Common Lisp
  • Automation
  • NASA library: https://github.com/nasa/pvslib

Rick Erkens May 24th, 2017 Prototype Verification System

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Logic

  • Classical higher order logic
  • Dependent types

Rick Erkens May 24th, 2017 Prototype Verification System

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On partiality

“PVS and B-method handle partiality right”

Rick Erkens May 24th, 2017 Prototype Verification System

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On partiality

“PVS and B-method handle partiality right”

  • Freek Wiedijk, three weeks ago

Rick Erkens May 24th, 2017 Prototype Verification System

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On partiality

“PVS and B-method handle partiality right”

  • Freek Wiedijk, three weeks ago

nonzero: NONEMPTY_TYPE = {i:int | r /= 0\}} div: [int, nonzero -> int]

Rick Erkens May 24th, 2017 Prototype Verification System

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Some projects

Collins AAMP5 avionics processor

  • Microarchitecture
  • 108 out of 209 instructions
  • 500,000 transistors
  • Three-stage pipeline
  • Stack architecture
  • Autonomous subunits

Rick Erkens May 24th, 2017 Prototype Verification System

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Some projects

Verification of Biphase Mark Protocol, 2004

  • Frits Vaandrager and Adriaan de Groot
  • Clock tolerances found with Uppaal
  • Verification with PVS

Rick Erkens May 24th, 2017 Prototype Verification System

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Demo: sum of squares

n

  • i=0

i2 = n(n + 1)(2n + 1) 6

Rick Erkens May 24th, 2017 Prototype Verification System

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Mifare Classic Card

  • Bart Jacobs and Ronny Wichers Schreur
  • RFID smart card sold by NXP
  • Widely used
  • Card relied on secrecy of the algorithm

Rick Erkens May 24th, 2017 Prototype Verification System

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Mifare Classic Card

LfsrSize : nat = 48 state : TYPE = bvec[LfsrSize] MfCfeedback : [state -> bit] = LAMBDA (r:state) : r(0) XOR r(5) XOR r(9) XOR r(10) XOR r(12) XOR r(14) XOR r(15) XOR r(17) XOR r(19) XOR r(24) XOR r(25) XOR r(27) XOR r(29) XOR r(35) XOR r(39) XOR r(41) XOR r(42) XOR r(43)

Rick Erkens May 24th, 2017 Prototype Verification System

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Mifare Classic Card

shift1in : [state, bit -> state] = LAMBDA(r:state, b:bit) : LAMBDA(i:below(LfsrSize)) : IF i < LfsrSize - 1 THEN r(i+1) % shift left ELSE b XOR MfCfeedback(r) % put new value at % i = LfsrSize - 1 ENDIF

Rick Erkens May 24th, 2017 Prototype Verification System

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“Many of the details of the formalisation are inherently specific to the Mifare Classic card and its weaknesses. However, this work does show that formalisations are relatively easy to do and can be both precise and readable. This makes them a solid base for the documentation and analysis of cryptographic systems. Thus, this paper suggests to card producers that they do such formalisations themselves, before bringing a card onto the market.”

Rick Erkens May 24th, 2017 Prototype Verification System