Completeness and counter-example generations of a basic protocol logic: (Extended abstract)

Koji Hasebe, Mitsuhiro Okada

研究成果: Article

1 引用 (Scopus)

抄録

We give an axiomatic system in first-order predicate logic with equality for proving security protocols correct. Our axioms and inference rules derive the basic inference rules, which are explicitly or implicitly used in the literature of protocol logics, hence we call our axiomatic system Basic Protocol Logic (or BPL, for short). We give a formal semantics for BPL, and show the completeness theorem such that for any given query (which represents a correctness property) the query is provable iff it is true for any model. Moreover, as a corollary of our completeness proof, the decidability of provability in BPL holds for any given query. In our formal semantics we consider a "trace" any kind of sequence of primitive actions, counter-models (which are generated from an unprovable query) cannot be immediately regarded as realizable traces (i.e., attacked processes on the protocol in question). However, with the aid of Comon-Treinen's algorithm for the intruder deduction problem, we can determine whether there exists a realizable trace among formal counter-models, if any, generated by the proof-search method (used in our completeness proof). We also demonstrate that our method is useful for both proof construction and flaw analysis by using a simple example.

元の言語English
ページ(範囲)73-92
ページ数20
ジャーナルElectronic Notes in Theoretical Computer Science
147
発行部数1
DOI
出版物ステータスPublished - 2006 1 31

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Counterexample
Completeness
Query
Logic
Network protocols
Formal Semantics
Inference Rules
Trace
Semantics
Proof Search
Computability and decidability
Predicate Logic
Security Protocols
Deduction
First-order Logic
Decidability
Search Methods
Axioms
Immediately
Correctness

ASJC Scopus subject areas

  • Computer Science (miscellaneous)

これを引用

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