Jonathan Sterling

  • Citations Per Year
Learn More
  • Norman M. Robertson, Diane M Allen, +11 authors Barbara B. Comerford
  • 2002
No part of this publication may be reproduced, displayed on a computer system, transmitted, transcribed, stored in a retrieval system, or translated into any language or computer language, in any form or by any means, electronic, mechanical, magnetic, optical, chemical, manual or otherwise , without the prior written consent of The Academy of Medicine of(More)
What is the proper explanation of intuitionistic hypothetical judgment, and thence propositional implication? The answer is unclear from the writings of Brouwer and Heyting, who in their lifetimes propounded multiple (sometimes conflicting) explanations of the hypothetical judgment. To my mind, the determination of an acceptable explanation must take into(More)
Using Martín Escardó’s « effectful forcing » technique, we demonstrate the constructive validity of Brouwer’s monotone Bar Theorem for any System T-definable bar. We have not assumed any non-constructive (Classical or Brouwerian) principles in this proof, and have carried out the entire development formally in the Agda proof assistant [13] for Martin-Löf ’s(More)
The syntax and semantics of user-supplied hypothesis names in tactic languages is a thorny problem, because the binding structure of a proof is a function of the goal at which a tactic script is executed. We contribute a new language to deal with the dynamic and interactive character of names in tactic scripts called Nominal LCF, and endow it with a(More)
At the heart of intuitionistic type theory lies an intuitive semantics called the “meaning explanations”; crucially, when meaning explanations are taken as definitive for type theory, the core notion is no longer “proof” but “verification”. We’ll explore how type theories of this sort arise naturally as enrichments of logical theories with further(More)
  • 1