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WOLLIC
2010
Springer
15 years 3 months ago
Mechanisation of PDA and Grammar Equivalence for Context-Free Languages
We provide a formalisation of the theory of pushdown automata (PDAs) using the HOL4 theorem prover. It illustrates how provers such as HOL can be used for mechanising complicated p...
Aditi Barthwal, Michael Norrish
FOCS
1992
IEEE
15 years 9 months ago
Probabilistic Checking of Proofs; A New Characterization of NP
We give a new characterization of NP: the class NP contains exactly those languages L for which membership proofs (a proof that an input x is in L) can be verified probabilisticall...
Sanjeev Arora, Shmuel Safra
STOC
1994
ACM
123views Algorithms» more  STOC 1994»
15 years 9 months ago
Natural proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandomnumber generators do not exist. This famous result is ...
Alexander A. Razborov, Steven Rudich
ITP
2010
161views Mathematics» more  ITP 2010»
15 years 9 months ago
Separation Logic Adapted for Proofs by Rewriting
We present a formalisation of separation logic which, by avoiding the use of existential quantifiers, allows proofs that only use standard equational rewriting methods as found in...
Magnus O. Myreen
CORR
2007
Springer
125views Education» more  CORR 2007»
15 years 5 months ago
Common knowledge logic in a higher order proof assistant?
This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality...
Pierre Lescanne