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ITP
2010
172views Mathematics» more  ITP 2010»
15 years 3 months ago
Equations: A Dependent Pattern-Matching Compiler
Abstract. We present a compiler for definitions made by pattern matching on inductive families in the Coq system. It allows to write structured, recursive dependently-typed functi...
Matthieu Sozeau
CSFW
2010
IEEE
15 years 3 months ago
Strong Invariants for the Efficient Construction of Machine-Checked Protocol Security Proofs
We embed an operational semantics for security protocols in the interactive theorem prover Isabelle/HOL and derive two strong protocol-independent invariants. These invariants allo...
Simon Meier, Cas J. F. Cremers, David A. Basin
TYPES
2000
Springer
15 years 3 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»
14 years 11 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
14 years 10 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