By Lawrence C. Paulson (auth.), Lennart Beringer, Amy Felty (eds.)
This e-book constitutes the completely refereed lawsuits of the 3rd foreign convention on Interactive Theorem Proving, ITP 2012, held in Princeton, NJ, united states, in August 2012. The 21 revised complete papers awarded including four tough diamond papers, three invited talks, and one invited instructional have been conscientiously reviewed and chosen from forty submissions. one of the subject matters lined are formalization of arithmetic; application abstraction and logics; info buildings and synthesis; defense; (non-)termination and automata; software verification; theorem prover improvement; reasoning approximately software execution; and prover infrastructure and modeling styles.
Read or Download Interactive Theorem Proving: Third International Conference, ITP 2012, Princeton, NJ, USA, August 13-15, 2012. Proceedings PDF
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Additional resources for Interactive Theorem Proving: Third International Conference, ITP 2012, Princeton, NJ, USA, August 13-15, 2012. Proceedings
42 A. Platzer The reﬂexive sets rI= and rDCI = , instead, assume that the precondition and postcondition are identical. It turns out that the reﬂexive versions do not have a very well-behaved structure (see the following proof). The invariant sets I= (Γ ) and DCI = (Γ ), instead, are well-behaved and form a chain of diﬀerential ideals. Lemma 19 (Structure of invariant equations). Let Γ be a set of dL formulas, then DCI = (Γ ) ⊆ I= (Γ ) is a chain of diﬀerential ideals (with respect to the derivation θ · ∇, in particular (θ · ∇)p ∈ DCI = (Γ ) for all p ∈ DCI = (Γ )).
Auto. trivial. save. The inline tactic expands calls to procedures by replacing them with their deﬁnitions, performing appropriate substitutions and renaming variables if necessary. The tactic swap pushes a single instruction or a block of instructions down if its second arguments is positive, or up if it is negative. Dependencies are checked to verify these transformations are semantics-preserving. The tactic rnd f, f −1 applies the same rule for random assignments that we described in Section 3; except that this time we provide a function f and its inverse f −1 by means of justiﬁcation of its bijectivity.
Leakage-resilient cryptography. In: 49th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2008, pp. 293–302. IEEE Computer Society, Washington (2008) 20. : Probabilistic encryption. J. Comput. Syst. Sci. 28(2), 270–299 (1984) Computer-Aided Cryptographic Proofs 27 21. : A plausible approach to computer-aided cryptographic proofs. Cryptology ePrint Archive, Report 2005/181 (2005) 22. : Formal proof – theory and practice. Notices of the American Mathematical Society 55(11), 1395–1406 (2008) 23.