Galois

More documents

Recommendations

Info

Logic vs. algebra Theoretical background Fork algebras Logic Algebra Propositional logic Boolean algebra Intuitionistic propositional logic Heyting algebra Predicate logic ?? Paulo Silva (UMinho) <strong>Galois</strong> PLMMS’09 16 / 28
Theoretical background Fork algebras Relation algebras Extension of Boolean algebras Original work of De Morgan, Peirce and Schröder Further developed by Tarski in his attempt to formalize set theory without variables Amenable for syntactic manipulation Only one inference rule is needed: substitution of equals by equals Equational reasoning Paulo Silva (UMinho) <strong>Galois</strong> PLMMS’09 17 / 28
Page 1 and 2: Galois: A Language for Proofs Using
Page 3 and 4: Outline Introduction 1 Introduction
Page 5 and 6: Introduction Whole division specifi
Page 7 and 8: Introduction Whole division specifi
Page 9 and 10: Introduction Motivation Proof. n (
Page 11 and 12: Introduction Motivation Proof. n (
Page 13 and 14: Introduction Objectives Objectives
Page 15 and 16: Theoretical background Indirect equ
Page 23 and 24: Properties Theoretical background G
Page 25: Theoretical background Galois conne
Page 29 and 30: Theoretical background Fork algebra
Page 31 and 32: Theoretical background Point-free t
Page 33 and 34: Outline Galois and Galculator 1 Int
Page 35 and 36: Galois and Galculator Architecture
Page 37 and 38: Summary Summary Summary Fork algebr
Page 39 and 40: Summary Future work Future work Mec

Galois

Create successful ePaper yourself

Delete template?

Save as template?