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2000
Springer
13 years 11 months ago
An Inductive Version of Nash-Williams' Minimal-Bad-Sequence Argument for Higman's Lemma
Higman's lemma has a very elegant, non-constructive proof due to Nash-Williams [NW63] using the so-called minimal-bad-sequence argument. The objective of the present paper is ...
Monika Seisenberger
IPL
2006
92views more  IPL 2006»
13 years 7 months ago
A constructive approach to sequential Nash equilibria
We present a Coq-formalised proof that all non-cooperative, sequential games have a Nash equilibrium point. Our proof methodology follows the style advocated by LCFstyle theorem p...
René Vestergaard
WOLLIC
2010
Springer
13 years 6 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
STOC
1994
ACM
123views Algorithms» more  STOC 1994»
13 years 11 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
AISC
2008
Springer
13 years 9 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban