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Translating dependent type theory into higher order logic

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-09724-4openalex-snapshot
Edinburgh LCF
inferredcites →https://doi.org/10.1007/978-1-4612-3658-0_9openalex-snapshot
Automating Recursive Type Definitions in Higher Order Logic
inferredcites →https://doi.org/10.1007/978-1-4613-2007-4_3openalex-snapshot
HOL: A Proof Generating System for Higher-Order Logic
inferredcites →https://doi.org/10.1007/978-94-009-5203-4_8openalex-snapshot
Proof Theory and Meaning
inferredcites →https://doi.org/10.1016/0304-3975(87)90047-8openalex-snapshot
On the syntax of Martin-Löf's type theories
inferredcites →https://doi.org/10.1017/cbo9780511569807.010openalex-snapshot
Encoding dependent types in an intuitionistic logic
inferredcites →https://doi.org/10.1098/rsta.1992.0025openalex-snapshot
Using Nuprl for the verification and synthesis of hardware
inferredcites →https://doi.org/10.1109/32.58783openalex-snapshot
Specification and verification using dependent types
inferredcites →https://doi.org/10.2307/2266170openalex-snapshot
A formulation of the simple theory of types
inferredcites →https://doi.org/10.48456/tr-68openalex-snapshot
HOL A machine oriented formulation of higher order logic

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/10721959_7openalex-snapshot
Modular Reasoning in Isabelle
inferred← citeshttps://doi.org/10.1007/11541868_15openalex-snapshot
Proving Bounds for Real Linear Programs in Isabelle/HOL
inferred← citeshttps://doi.org/10.1007/3-540-44622-2_10openalex-snapshot
Subtyping with Power Types
inferred← citeshttps://doi.org/10.1007/3-540-44755-5_15openalex-snapshot
Abstraction and Refinement in Higher Order Logic
inferred← citeshttps://doi.org/10.1007/3-540-57826-9_143openalex-snapshot
Domain theory in HOL
inferred← citeshttps://doi.org/10.1007/978-3-031-38499-8_25openalex-snapshot
Theorem Proving in Dependently-Typed Higher-Order Logic
inferred← citeshttps://doi.org/10.1007/978-3-642-03429-9_21openalex-snapshot
Translating a Dependently-Typed Logic to First-Order Logic
inferred← citeshttps://doi.org/10.1007/bfb0014309openalex-snapshot
Semantic foundations for embedding HOL in Nuprl
inferred← citeshttps://doi.org/10.1007/bfb0021713openalex-snapshot
Strongly-typed theory of structures and behaviours
inferred← citeshttps://doi.org/10.1007/bfb0028403openalex-snapshot
A comparative study of Coq and HOL
inferred← citeshttps://doi.org/10.1007/bfb0105410openalex-snapshot
Importing mathematics from HOL into Nuprl
inferred← citeshttps://doi.org/10.1016/j.jal.2007.11.001openalex-snapshot
The seven virtues of simple type theory
inferred← citeshttps://doi.org/10.1017/s0956796800001763openalex-snapshot
On cubism
inferred← citeshttps://doi.org/10.1145/3290351openalex-snapshot
Formal verification of higher-order probabilistic programs: reasoning about approximation, convergence, Bayesian inference, and optimization
inferred← citeshttps://doi.org/10.1145/3771725openalex-snapshot
Dependently Typed Higher-Order Logic
inferred← citeshttps://doi.org/10.4204/eptcs.210.3openalex-snapshot
Extending Nunchaku to Dependent Type Theory
inferred← citeshttps://doi.org/10.7146/brics.v1i44.21598openalex-snapshot
A HOL Basis for Reasoning about Functional Programs
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