### Abstract

This paper is concerned about relating formal and computational models of cryptography in case of active adversaries when formal security analysis is done with first order logic As opposed to earlier treatments, we introduce a new, fully probabilistic method to assign computational semantics to the syntax. The idea is to make use of the usual mathematical treatment of stochastic processes, hence be able to treat arbitrary probability distributions, non-negligible probability of collision, causal dependence or independence, and so on. We present this via considering a simple example of such a formal model, the Basic Protocol Logic by K. Hasebe and M. Okada [20], but we think the technique is suitable for a wide range of formal methods for protocol correctness proofs. We first review our framework of proof-system, BPL, for proving correctness of authentication protocols, and provide computational semantics. Then we give a full proof of the soundness theorem. We also comment on the differences of our method and that of Computational PCL.

Original language | English |
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Title of host publication | Formal to Practical Security |

Subtitle of host publication | Papers Issued from the 2005-2008 French-Japanese Collaboration |

Pages | 33-56 |

Number of pages | 24 |

DOIs | |

Publication status | Published - 2009 Jul 16 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 5458 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

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### Keywords

- Computational semantics
- Cryptographic protocols
- First order logic
- Formal methods

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Formal to Practical Security: Papers Issued from the 2005-2008 French-Japanese Collaboration*(pp. 33-56). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5458 LNCS). https://doi.org/10.1007/978-3-642-02002-5_3