Interactive Theorem Proving: 7th International Conference, by Jasmin Christian Blanchette, Stephan Merz

By Jasmin Christian Blanchette, Stephan Merz

This ebook constitutes the refereed complaints of the seventh overseas convention on Interactive Theorem Proving, ITP 2016, held in Nancy, France, in August 2016.
The 27 complete papers and five brief papers offered have been conscientiously reviewed and chosen from fifty five submissions. the subjects variety from theoretical foundations to implementation points and functions in application verification, safety and formalization of mathematical theories.

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Additional info for Interactive Theorem Proving: 7th International Conference, ITP 2016, Nancy, France, August 22-25, 2016, Proceedings

Example text

2. Partial unfoldings of the lock acquisition CFG. with in the symbolic state. e. statements at line 5, symbolic execution is performed until the statement at line 2 (the loop header) is reached for the second time, completing one loop iteration. The configuration for 21 is ({lock → lock 3 , new → new 2 , old → old 1 }, lock 1 = 0 ∧ new 1 = old 0 + 1 ∧ lock 2 = 1 ∧ old 1 = new 1 ∧ lock 3 = 0 ∧ new 2 = new 1 + 1). Subsumption between loop headers: 20 and 21 are two occurrences on the current path of the same loop header.

P %v. 1 M. Adams The Need for Good Parsers and Printers Proof Auditing In recent years, HOL systems have been employed in large-scale high-assurance projects such as the verification of the seL4 operating system kernel [10], the verification of safety-critical avionics in the EuroFighter Typhoon [2], and the Flyspeck project formalising the Kepler Conjecture proof [6], a major result in mathematics. Projects of such importance should be independently audited to reduce the risk that they contain fundamental errors.

P \v. E P ==> Q P \/ Q P /\ Q x = y x <> y x <= y x + y Isabelle/HOL ProofPower HOL Q [P] ALL v. P EX v. P %v. 1 M. Adams The Need for Good Parsers and Printers Proof Auditing In recent years, HOL systems have been employed in large-scale high-assurance projects such as the verification of the seL4 operating system kernel [10], the verification of safety-critical avionics in the EuroFighter Typhoon [2], and the Flyspeck project formalising the Kepler Conjecture proof [6], a major result in mathematics.

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