Principles and Pragmatics of Subtyping in PVS

  • Natarajan Shankar
  • Sam Owre
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1827)


PVS (Prototype Verification System) is a mechanized framework for formal specification and interactive proof development. The PVS specification language is based on higher-order logic enriched with features such as predicate subtypes, dependent types, recursive datatypes, and parametric theories. Subtyping is a central concept in the PVS type system. PVS admits the definition of subtypes corresponding to nonzero integers, prime numbers, injective maps, order-preserving maps, and even empty subtypes. We examine the principles underlying the PVS subtype mechanism and its implementation and use.


Type System Formal Semantic Proof Obligation Type Rule Typing Judgement 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Natarajan Shankar
    • 1
  • Sam Owre
    • 1
  1. 1.Computer Science LaboratorySRI InternationalMenlo ParkUSA

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