Lectures on the Curry-Howard Isomorphism



The Curry Howard Isomorphism States An Amazing Correspondence Between Systems Of Formal Logic As Encountered In Proof Theory And Computational Calculi As Found In Type Theory For Instance, Minimal Propositional Logic Corresponds To Simply Typed Lambda Calculus, First Order Logic Corresponds To Dependent Types, Second Order Logic Corresponds To Polymorphic Types, Sequent Calculus Is Related To Explicit Substitution, Etc.The Isomorphism Has Many Aspects, Even At The Syntactic Level Formulas Correspond To Types, Proofs Correspond To Terms, Provability Corresponds To Inhabitation, Proof Normalization Corresponds To Term Reduction, Etc.But There Is To The Isomorphism Than This For Instance, It Is An Old Idea Due To Brouwer, Kolmogorov, And Heyting That A Constructive Proof Of An Implication Is A Procedure That Transformsproofs Of The Antecedent Into Proofs Of The Succedent The Curry Howard Isomorphism Gives Syntactic Representations Of Such Procedures The Curry Howard Isomorphism Also Provides Theoretical Foundations For Many Modern Proof Assistant Systems E.g Coq.This Book Give An Introduction To Parts Of Proof Theory And Related Aspects Of Type Theory Relevant For The Curry Howard Isomorphism It Can Serve As An Introduction To Any Or Both Of Typed Lambda Calculus And Intuitionistic Logic.Key Features The Curry Howard Isomorphism Treated As Common Theme Reader Friendly Introduction To Two Complementary Subjects Lambda Calculus And Constructive Logics Thorough Study Of The Connection Between Calculi And Logics Elaborate Study Of Classical Logics And Control Operators Account Of Dialogue Games For Classical And Intuitionistic Logic Theoretical Foundations Of Computer Assisted Reasoning The Curry Howard Isomorphism Treated As The Common Theme Reader Friendly Introduction To Two Complementary Subjects Lambda Calculus And Constructive Logics Thorough Study Of The Connection Between Calculi And Logics Elaborate Study Of Classical Logics And Control Operators Account Of Dialogue Games For Classical And Intuitionistic Logic Theoretical Foundations Of Computer Assisted ReasoningLectures on the Curry-Howard Isomorphism

Is a well-known author, some of his books are a fascination for readers like in the Lectures on the Curry-Howard Isomorphism book, this is one of the most wanted Morten Heine B. Sørensen author readers around the world.

➹ Lectures on the Curry-Howard Isomorphism  Free ➯ Author Morten Heine B. Sørensen – Phamimports.us
  • Hardcover
  • 442 pages
  • Lectures on the Curry-Howard Isomorphism
  • Morten Heine B. Sørensen
  • English
  • 08 August 2018
  • 0444520775

10 thoughts on “Lectures on the Curry-Howard Isomorphism

  1. says:

    Great prose, the historical bits are just fantastic The extensive bibliography is indispensable This book might be one of the best introductory texts to any mathematical topic I ve read to date.

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