Logical Analysis and Verification of Cryptographic Protocols - Loria

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56 CHAPTER 2. PROTOCOL ANALYSIS USING CONSTRAINT SOLVING
Chapter 3 Analysis of protocols with collision vulnerable hash functions In this chapter, we consider the class of cryptographic protocols that use collision vulnerable hash functions. Only a few years ago, it was intractable to compute collisions on hash functions, so they were considered to be collision resistant by cryptographers, and protocols were built upon this assumption. From the nineties on, several authors [98, 103, 199, 201] have proved the tractability of finding collision attacks over several hash functions, and some practical methods have been published to compute collisions on some commonly used hash functions. Following the symbolic method introduced in Chapter 2, we reduce the insecurity problem of our class of cryptographic protocols to the ordered satisfiability problem for the intruder that uses the collision vulnerability property of hash functions when attacking a protocol execution. We give an algorithm that the intruder employs to compute collisions on hash functions. By this algorithm and roughly following the results obtained in [74], we conjecture that the ordered satisfiability problem for the intruder exploiting the collision vulnerability property of hash functions can be reduced to the ordered satisfiability problem for an intruder operating on words, that is with an associative symbol of concatenation, and we show the decidability of the last problem. The decidability of the ordered satisfiability problem for the intruder operating on words is interesting in its own right as it is the first decidability result that we are aware of for an intruder system for which unification is infinitary, and that permits to consider in other contexts an associative concatenation of messages instead of their pairing. The results of this Chapter have been published in the proceedings of ASIAN 2006 conference [67]. 57
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Logical Analysis and Verification o
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Abstract This thesis is developed i
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x CONTENTS 2.1.7 Unification . . .
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xii CONTENTS 5.8 Decidability of re
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2 CHAPTER 1. INTRODUCTION Figure 1.
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4 CHAPTER 1. INTRODUCTION Secrecy T
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106 CHAPTER 4. PROTOCOLS WITH VULNE
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112 CHAPTER 5. SATURATED DEDUCTION
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148 CHAPTER 6. ON THE GROUND ENTAIL
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178 CHAPTER 7. VOTER VERIFIABILITY
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198 CHAPTER 8. CONCLUSION AND PERSP
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200 CHAPTER 8. CONCLUSION AND PERSP
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202 BIBLIOGRAPHY [12] M. Abadi and
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204 BIBLIOGRAPHY [36] M. Bellare, A
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206 BIBLIOGRAPHY [60] U. Hustadt Ch
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208 BIBLIOGRAPHY [83] H. Comon-Lund
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210 BIBLIOGRAPHY [108] B. Donovan,
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212 BIBLIOGRAPHY [132] T. Kohno, A.
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214 BIBLIOGRAPHY [160] J. C. Mitche
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216 BIBLIOGRAPHY [187] H. Seidl and
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Logical Analysis and Verification of Cryptographic Protocols - Loria

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