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First-Order Theory of Subtyping Constraints

Title: First-Order Theory of Subtyping Constraints
Authors: Su, Zhendong; Aiken, Alex; Niehren, Joachim; Priesnitz, Tim; Treinen, Ralf
Contributors: Department of Mathematics Berkeley; University of California Berkeley (UC Berkeley); University of California (UC)-University of California (UC); Programming Systems Lab Saarland; Universität des Saarlandes Saarbrücken = Saarland University Saarbrücken; Laboratoire de Recherche en Informatique (LRI); Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)
Source: The 29th Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages ; https://inria.hal.science/inria-00536828 ; The 29th Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, 2002, Portland, United States. pp.203-216
Publisher Information: CCSD; ACM Press
Publication Year: 2002
Subject Terms: [INFO.INFO-PL]Computer Science [cs]/Programming Languages [cs.PL]
Subject Geographic: Portland; United States
Description: International audience ; We investigate the first-order theory of subtyping constraints. We show that the first-order theory of non-structural subtyping is undecidable, and we show that in the case where all constructors are either unary or nullary, the first-order theory is decidable for both structural and non-structural subtyping. The decidability results are shown by reduction to a decision problem on tree automata. This work is a step towards resolving long-standing open problems of the decidability of entailment for non-structural subtyping.
Document Type: conference object
Language: English
Availability: https://inria.hal.science/inria-00536828; https://inria.hal.science/inria-00536828v1/document; https://inria.hal.science/inria-00536828v1/file/fot02.pdf
Rights: info:eu-repo/semantics/OpenAccess
Accession Number: edsbas.8F26F442
Database: BASE