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Reduction and unification in lambda calculi with a general notion of subtype

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Publication:1340967
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DOI10.1007/BF00885767zbMath0808.03008MaRDI QIDQ1340967

Tobias Nipkow, Zhenyu Qian

Publication date: 21 December 1994

Published in: Journal of Automated Reasoning (Search for Journal in Brave)


zbMATH Keywords

reductionhigher-order unificationsubtypesgeneric algorithm for preunification modulo \(\beta\eta\)- conversionsimply typed \(\lambda\)-calculi


Mathematics Subject Classification ID

Mechanization of proofs and logical operations (03B35) Combinatory logic and lambda calculus (03B40)



Uses Software

  • TPS


Cites Work

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  • The lambda calculus. Its syntax and semantics. Rev. ed.
  • A mechanical solution of Schubert's steamroller by many-sorted resolution
  • A semantics of multiple inheritance
  • A unification algorithm for typed \(\overline\lambda\)-calculus
  • Proving and applying program transformations expressed with second-order patterns
  • An algebraic semantics of higher-order types with subtypes
  • Computational aspects of an order-sorted logic with term declarations
  • Higher-order unification revisited: Complete sets of transformations
  • TPS: A theorem-proving system for classical type theory
  • A Logic Programming Language with Lambda-Abstraction, Function Variables, and Simple Unification
  • Type inference with simple subtypes
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