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» The Complete Proof Theory of Hybrid Systems
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CADE
2005
Springer
16 years 6 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
POPL
2008
ACM
16 years 6 months ago
Cyclic proofs of program termination in separation logic
We propose a novel approach to proving the termination of heapmanipulating programs, which combines separation logic with cyclic proof within a Hoare-style proof system. Judgement...
James Brotherston, Richard Bornat, Cristiano Calca...
APAL
2008
80views more  APAL 2008»
15 years 6 months ago
System BV is NP-complete
System BV is an extension of multiplicative linear logic (MLL) with the rules mix, nullary mix, and a self-dual, non-commutative logical operator, called seq. While the rules mix ...
Ozan Kahramanogullari
LICS
2007
IEEE
16 years 9 days ago
Principles of Superdeduction
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
Paul Brauner, Clément Houtmann, Claude Kirc...
IFSA
2007
Springer
147views Fuzzy Logic» more  IFSA 2007»
16 years 5 days ago
On Proofs and Rule of Multiplication in Fuzzy Attribute Logic
Abstract. The paper develops fuzzy attribute logic, i.e. a logic for reasoning about formulas of the form A ⇒ B where A and B are fuzzy sets of attributes. A formula A ⇒ B repr...
Radim Belohlávek, Vilém Vychodil